TSTP Solution File: SYN473+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:37 EDT 2023

% Result   : Theorem 2.16s 1.21s
% Output   : CNFRefutation 2.16s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f206)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp11
        | hskp1
        | hskp22 )
      & ( hskp10
        | hskp8
        | hskp28 )
      & ( hskp5
        | hskp26
        | hskp4 )
      & ( hskp5
        | hskp24
        | hskp4 )
      & ( hskp28
        | hskp21
        | hskp27 )
      & ( hskp26
        | hskp3
        | hskp9 )
      & ( hskp19
        | hskp28
        | hskp30 )
      & ( hskp11
        | hskp21
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( hskp19
        | hskp27
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c2_1(X109)
              | ~ c1_1(X109) ) ) )
      & ( hskp16
        | hskp15
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( hskp11
        | hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp20
        | hskp30
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( hskp1
        | hskp25
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp22
        | hskp14
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp24
        | hskp14
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) ) )
      & ( hskp3
        | hskp27
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp5
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp13
        | hskp23
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) ) )
      & ( hskp20
        | hskp9
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp28
        | hskp4
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp1
        | hskp13
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp19
        | hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp8
        | hskp17
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp12
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c1_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp21
        | hskp0
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp22
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp18
        | hskp21
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp1
        | hskp20
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp29
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp2
        | hskp20
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp19
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp29
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp9
        | hskp29
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp14
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp0
        | hskp17
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp8
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp13
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp16
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp5
        | hskp0
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp15
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | ~ c0_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp6
        | hskp13
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp3
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | hskp1
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp9
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c2_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | hskp9
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp8
        | hskp4
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp7
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c1_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c0_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c3_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp5
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | hskp3
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp28
        | hskp27
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | c3_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(a867)
          & c1_1(a867)
          & c0_1(a867)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a829)
          & c1_1(a829)
          & c0_1(a829)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a797)
          & c2_1(a797)
          & c1_1(a797)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a796)
          & c2_1(a796)
          & c0_1(a796)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a869)
          & c3_1(a869)
          & c2_1(a869)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a865)
          & c2_1(a865)
          & c1_1(a865)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a862)
          & ~ c1_1(a862)
          & c0_1(a862)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a856)
          & ~ c2_1(a856)
          & c0_1(a856)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a840)
          & c3_1(a840)
          & c1_1(a840)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a838)
          & c3_1(a838)
          & c0_1(a838)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a833)
          & ~ c0_1(a833)
          & c1_1(a833)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a832)
          & ~ c1_1(a832)
          & c2_1(a832)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a828)
          & ~ c2_1(a828)
          & ~ c1_1(a828)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a825)
          & c1_1(a825)
          & c0_1(a825)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a821)
          & ~ c1_1(a821)
          & ~ c0_1(a821)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a817)
          & c3_1(a817)
          & c2_1(a817)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a816)
          & ~ c1_1(a816)
          & c0_1(a816)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a814)
          & ~ c0_1(a814)
          & c1_1(a814)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a809)
          & c2_1(a809)
          & c1_1(a809)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a808)
          & ~ c1_1(a808)
          & c3_1(a808)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a807)
          & ~ c2_1(a807)
          & ~ c0_1(a807)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a806)
          & c1_1(a806)
          & c0_1(a806)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a805)
          & ~ c2_1(a805)
          & c1_1(a805)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a803)
          & c3_1(a803)
          & c1_1(a803)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a802)
          & ~ c0_1(a802)
          & c2_1(a802)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a800)
          & ~ c0_1(a800)
          & c3_1(a800)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a799)
          & c3_1(a799)
          & c0_1(a799)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a798)
          & c2_1(a798)
          & c0_1(a798)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a795)
          & ~ c1_1(a795)
          & ~ c0_1(a795)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a794)
          & ~ c0_1(a794)
          & c3_1(a794)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a793)
          & c2_1(a793)
          & c0_1(a793)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp11
          | hskp1
          | hskp22 )
        & ( hskp10
          | hskp8
          | hskp28 )
        & ( hskp5
          | hskp26
          | hskp4 )
        & ( hskp5
          | hskp24
          | hskp4 )
        & ( hskp28
          | hskp21
          | hskp27 )
        & ( hskp26
          | hskp3
          | hskp9 )
        & ( hskp19
          | hskp28
          | hskp30 )
        & ( hskp11
          | hskp21
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( hskp19
          | hskp27
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( hskp16
          | hskp15
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( hskp11
          | hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp20
          | hskp30
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp1
          | hskp25
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp22
          | hskp14
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp24
          | hskp14
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) ) )
        & ( hskp3
          | hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp5
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp13
          | hskp23
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) ) )
        & ( hskp20
          | hskp9
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp28
          | hskp4
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp1
          | hskp13
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp19
          | hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp8
          | hskp17
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp12
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp21
          | hskp0
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp22
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp18
          | hskp21
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp1
          | hskp20
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp29
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp2
          | hskp20
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp19
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp29
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp9
          | hskp29
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp14
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp0
          | hskp17
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp8
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp13
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp16
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp5
          | hskp0
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp6
          | hskp13
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp3
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | hskp1
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp9
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | hskp9
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp8
          | hskp4
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp7
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c3_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp5
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | hskp3
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp28
          | hskp27
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | c3_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(a867)
            & c1_1(a867)
            & c0_1(a867)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a829)
            & c1_1(a829)
            & c0_1(a829)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a797)
            & c2_1(a797)
            & c1_1(a797)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a796)
            & c2_1(a796)
            & c0_1(a796)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & c2_1(a869)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a862)
            & ~ c1_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a856)
            & ~ c2_1(a856)
            & c0_1(a856)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a838)
            & c3_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a833)
            & ~ c0_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a828)
            & ~ c2_1(a828)
            & ~ c1_1(a828)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a825)
            & c1_1(a825)
            & c0_1(a825)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a821)
            & ~ c1_1(a821)
            & ~ c0_1(a821)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a817)
            & c3_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a816)
            & ~ c1_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a814)
            & ~ c0_1(a814)
            & c1_1(a814)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a809)
            & c2_1(a809)
            & c1_1(a809)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a808)
            & ~ c1_1(a808)
            & c3_1(a808)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a807)
            & ~ c2_1(a807)
            & ~ c0_1(a807)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a806)
            & c1_1(a806)
            & c0_1(a806)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a805)
            & ~ c2_1(a805)
            & c1_1(a805)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a803)
            & c3_1(a803)
            & c1_1(a803)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a802)
            & ~ c0_1(a802)
            & c2_1(a802)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a800)
            & ~ c0_1(a800)
            & c3_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a799)
            & c3_1(a799)
            & c0_1(a799)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a798)
            & c2_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a795)
            & ~ c1_1(a795)
            & ~ c0_1(a795)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a794)
            & ~ c0_1(a794)
            & c3_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a793)
            & c2_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp11
          | hskp1
          | hskp22 )
        & ( hskp10
          | hskp8
          | hskp28 )
        & ( hskp5
          | hskp26
          | hskp4 )
        & ( hskp5
          | hskp24
          | hskp4 )
        & ( hskp28
          | hskp21
          | hskp27 )
        & ( hskp26
          | hskp3
          | hskp9 )
        & ( hskp19
          | hskp28
          | hskp30 )
        & ( hskp11
          | hskp21
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp19
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp16
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp11
          | hskp26
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp20
          | hskp30
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp1
          | hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp22
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp24
          | hskp14
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp3
          | hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp13
          | hskp23
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp20
          | hskp9
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp28
          | hskp4
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp28
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp1
          | hskp13
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp19
          | hskp28
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp8
          | hskp17
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp12
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp21
          | hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp22
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp18
          | hskp21
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp1
          | hskp20
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp29
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp2
          | hskp20
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp19
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp9
          | hskp29
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp18
          | hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | hskp17
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp16
          | hskp13
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp5
          | hskp0
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp6
          | hskp13
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp3
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | hskp1
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp11
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp10
          | hskp9
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp8
          | hskp4
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp7
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp6
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp4
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp4
          | hskp3
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp28
          | hskp27
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp2
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp0
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c2_1(X109)
                | c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ( c3_1(a867)
            & c1_1(a867)
            & c0_1(a867)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a829)
            & c1_1(a829)
            & c0_1(a829)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a797)
            & c2_1(a797)
            & c1_1(a797)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a796)
            & c2_1(a796)
            & c0_1(a796)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & c2_1(a869)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a862)
            & ~ c1_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a856)
            & ~ c2_1(a856)
            & c0_1(a856)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a838)
            & c3_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a833)
            & ~ c0_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a828)
            & ~ c2_1(a828)
            & ~ c1_1(a828)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a825)
            & c1_1(a825)
            & c0_1(a825)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a821)
            & ~ c1_1(a821)
            & ~ c0_1(a821)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a817)
            & c3_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a816)
            & ~ c1_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a814)
            & ~ c0_1(a814)
            & c1_1(a814)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a809)
            & c2_1(a809)
            & c1_1(a809)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a808)
            & ~ c1_1(a808)
            & c3_1(a808)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a807)
            & ~ c2_1(a807)
            & ~ c0_1(a807)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a806)
            & c1_1(a806)
            & c0_1(a806)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a805)
            & ~ c2_1(a805)
            & c1_1(a805)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a803)
            & c3_1(a803)
            & c1_1(a803)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a802)
            & ~ c0_1(a802)
            & c2_1(a802)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a800)
            & ~ c0_1(a800)
            & c3_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a799)
            & c3_1(a799)
            & c0_1(a799)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a798)
            & c2_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a795)
            & ~ c1_1(a795)
            & ~ c0_1(a795)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a794)
            & ~ c0_1(a794)
            & c3_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a793)
            & c2_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp5
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp28
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp12
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp22
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c1_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp29
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp19
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c1_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp8
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp13
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp14
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp3
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp9
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c0_1(X69)
            | c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c1_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp11
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp7
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp6
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp4
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c3_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp0
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c1_1(X108)
            | c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c2_1(X109)
            | c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a793)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a793)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c1_1(a793)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c3_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( ~ c0_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c0_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c2_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c0_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c3_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c1_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c3_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c2_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c0_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c1_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c1_1(a803)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a803)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a803)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c1_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c0_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c1_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c3_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c1_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c2_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c2_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c3_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c0_1(a825)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c1_1(a825)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c2_1(a825)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c2_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c0_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( c3_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c2_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c3_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f103,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c2_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c3_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c2_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c1_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c2_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c0_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c1_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c2_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c0_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c1_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f135,plain,
    ! [X101] :
      ( hskp28
      | hskp27
      | c3_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f167,plain,
    ! [X38] :
      ( hskp9
      | hskp29
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f170,plain,
    ! [X33] :
      ( hskp2
      | hskp20
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f175,plain,
    ! [X26] :
      ( hskp21
      | hskp0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X18] :
      ( hskp8
      | hskp17
      | ~ c1_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X17] :
      ( hskp19
      | hskp28
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X16] :
      ( hskp1
      | hskp13
      | ~ c1_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ! [X13] :
      ( hskp28
      | hskp4
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f185,plain,
    ! [X11] :
      ( hskp13
      | hskp23
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X4] :
      ( hskp20
      | hskp30
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X3] :
      ( hskp11
      | hskp26
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f195,plain,
    ! [X0] :
      ( hskp11
      | hskp21
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ( hskp19
    | hskp28
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ( hskp26
    | hskp3
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ( hskp28
    | hskp21
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f199,plain,
    ( hskp5
    | hskp24
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ( hskp10
    | hskp8
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_50,negated_conjecture,
    ( hskp10
    | hskp8
    | hskp28 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_52,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp24 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_53,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp27 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_54,negated_conjecture,
    ( hskp26
    | hskp3
    | hskp9 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_55,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp30 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_56,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp11
    | hskp21 ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_59,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp30
    | hskp20 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_65,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_66,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp13
    | hskp23 ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_68,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28
    | hskp4 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_70,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp1
    | hskp13 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_71,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp19 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_72,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp8
    | hskp17 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_76,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp0 ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_81,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp2 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_82,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp9
    | hskp29 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_89,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_104,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_110,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_111,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_112,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_116,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp27 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_117,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp30
    | c3_1(a867) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp30
    | c1_1(a867) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp30
    | c0_1(a867) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp29
    | c2_1(a829) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp29
    | c1_1(a829) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp29
    | c0_1(a829) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp28
    | c3_1(a797) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp28
    | c2_1(a797) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp28
    | c1_1(a797) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp27
    | c3_1(a796) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp27
    | c2_1(a796) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp27
    | c0_1(a796) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_137,negated_conjecture,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp26
    | c3_1(a869) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp26
    | c2_1(a869) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_148,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_150,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_158,negated_conjecture,
    ( ~ hskp21
    | c3_1(a838) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp21
    | c0_1(a838) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_162,negated_conjecture,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp20
    | c1_1(a833) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp19
    | c2_1(a832) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a825)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp17
    | c1_1(a825) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp17
    | c0_1(a825) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_181,negated_conjecture,
    ( ~ c1_1(a817)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_182,negated_conjecture,
    ( ~ hskp15
    | c3_1(a817) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp15
    | c2_1(a817) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_193,negated_conjecture,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp12
    | c2_1(a809) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp12
    | c1_1(a809) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp11
    | c3_1(a808) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_202,negated_conjecture,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_203,negated_conjecture,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp9
    | c1_1(a806) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp9
    | c0_1(a806) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_210,negated_conjecture,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp8
    | c1_1(a805) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_213,negated_conjecture,
    ( ~ c2_1(a803)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp7
    | c3_1(a803) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp7
    | c1_1(a803) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_217,negated_conjecture,
    ( ~ c1_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp6
    | c2_1(a802) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_222,negated_conjecture,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp5
    | c3_1(a800) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_224,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp4
    | c3_1(a799) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp4
    | c0_1(a799) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_228,negated_conjecture,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_230,negated_conjecture,
    ( ~ hskp3
    | c2_1(a798) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp3
    | c0_1(a798) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_237,negated_conjecture,
    ( ~ c2_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp1
    | c3_1(a794) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_241,negated_conjecture,
    ( ~ c1_1(a793)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_242,negated_conjecture,
    ( ~ hskp0
    | c2_1(a793) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp0
    | c0_1(a793) ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_279,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_244,c_228,c_224,c_148,c_52]) ).

cnf(c_344,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_228,c_224,c_148,c_52,c_116]) ).

cnf(c_353,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_228,c_224,c_148,c_52,c_81]) ).

cnf(c_377,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_228,c_224,c_148,c_52,c_76]) ).

cnf(c_380,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp8
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_228,c_224,c_148,c_52,c_72]) ).

cnf(c_383,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_228,c_224,c_148,c_52,c_71]) ).

cnf(c_386,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp1
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_228,c_224,c_148,c_52,c_70]) ).

cnf(c_395,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_228,c_224,c_148,c_52,c_84]) ).

cnf(c_396,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp29 ),
    inference(renaming,[status(thm)],[c_395]) ).

cnf(c_398,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_228,c_224,c_148,c_52,c_68]) ).

cnf(c_399,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp4 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_404,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp13
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_228,c_224,c_148,c_52,c_66]) ).

cnf(c_405,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp13
    | hskp23 ),
    inference(renaming,[status(thm)],[c_404]) ).

cnf(c_419,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp30
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_228,c_224,c_148,c_52,c_60]) ).

cnf(c_420,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp30
    | hskp20 ),
    inference(renaming,[status(thm)],[c_419]) ).

cnf(c_422,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp11
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_228,c_224,c_148,c_52,c_59]) ).

cnf(c_423,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp11
    | hskp26 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_431,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp11
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_228,c_224,c_148,c_52,c_56]) ).

cnf(c_432,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp11
    | hskp21 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_445,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_228,c_224,c_148,c_52,c_104]) ).

cnf(c_446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_447,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_228,c_224,c_148,c_52,c_98]) ).

cnf(c_448,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_450,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_228,c_224,c_148,c_52,c_82]) ).

cnf(c_451,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_454,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_228,c_224,c_148,c_52,c_111]) ).

cnf(c_455,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_454]) ).

cnf(c_460,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_228,c_224,c_148,c_52,c_110]) ).

cnf(c_461,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_460]) ).

cnf(c_462,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_228,c_224,c_148,c_52,c_94]) ).

cnf(c_463,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_462]) ).

cnf(c_468,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_228,c_224,c_148,c_52,c_88]) ).

cnf(c_469,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_468]) ).

cnf(c_472,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_228,c_224,c_148,c_52,c_73]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_228,c_224,c_148,c_52,c_69]) ).

cnf(c_475,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_477,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_228,c_224,c_148,c_52,c_75]) ).

cnf(c_478,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_228,c_224,c_148,c_52,c_65]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_485,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_228,c_224,c_148,c_52,c_117]) ).

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

cnf(c_487,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_228,c_224,c_148,c_52,c_108]) ).

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

cnf(c_489,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_228,c_224,c_148,c_52,c_112]) ).

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

cnf(c_491,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_228,c_224,c_148,c_52,c_103]) ).

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

cnf(c_493,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_228,c_224,c_148,c_52,c_102]) ).

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

cnf(c_495,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_228,c_224,c_148,c_52,c_95]) ).

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

cnf(c_497,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_228,c_224,c_148,c_52,c_89]) ).

cnf(c_498,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_499,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_74,c_279]) ).

cnf(c_500,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_499]) ).

cnf(c_501,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_228,c_224,c_148,c_52,c_99]) ).

cnf(c_502,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_501]) ).

cnf(c_503,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_228,c_224,c_148,c_52,c_85]) ).

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

cnf(c_2761,plain,
    ( c2_1(a869)
    | hskp3
    | hskp9 ),
    inference(resolution,[status(thm)],[c_54,c_139]) ).

cnf(c_2771,plain,
    ( c3_1(a869)
    | hskp3
    | hskp9 ),
    inference(resolution,[status(thm)],[c_54,c_138]) ).

cnf(c_2781,plain,
    ( ~ c0_1(a869)
    | hskp3
    | hskp9 ),
    inference(resolution,[status(thm)],[c_54,c_137]) ).

cnf(c_3406,plain,
    ( ~ c0_1(a807)
    | hskp8
    | hskp28 ),
    inference(resolution,[status(thm)],[c_50,c_203]) ).

cnf(c_3416,plain,
    ( ~ c2_1(a807)
    | hskp8
    | hskp28 ),
    inference(resolution,[status(thm)],[c_50,c_202]) ).

cnf(c_3426,plain,
    ( ~ c3_1(a807)
    | hskp8
    | hskp28 ),
    inference(resolution,[status(thm)],[c_50,c_201]) ).

cnf(c_3994,plain,
    ( c0_1(a838)
    | hskp28
    | hskp27 ),
    inference(resolution,[status(thm)],[c_53,c_159]) ).

cnf(c_4004,plain,
    ( c3_1(a838)
    | hskp28
    | hskp27 ),
    inference(resolution,[status(thm)],[c_53,c_158]) ).

cnf(c_4014,plain,
    ( ~ c2_1(a838)
    | hskp28
    | hskp27 ),
    inference(resolution,[status(thm)],[c_53,c_157]) ).

cnf(c_5260,plain,
    ( c2_1(a832)
    | hskp28
    | hskp30 ),
    inference(resolution,[status(thm)],[c_55,c_167]) ).

cnf(c_5270,plain,
    ( ~ c1_1(a832)
    | hskp28
    | hskp30 ),
    inference(resolution,[status(thm)],[c_55,c_166]) ).

cnf(c_5280,plain,
    ( ~ c3_1(a832)
    | hskp28
    | hskp30 ),
    inference(resolution,[status(thm)],[c_55,c_165]) ).

cnf(c_16259,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_504]) ).

cnf(c_16260,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_504]) ).

cnf(c_16261,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_504]) ).

cnf(c_16262,negated_conjecture,
    ( sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

cnf(c_16263,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_502]) ).

cnf(c_16264,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_502]) ).

cnf(c_16265,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_502]) ).

cnf(c_16266,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

cnf(c_16267,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_500]) ).

cnf(c_16268,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_500]) ).

cnf(c_16269,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_500]) ).

cnf(c_16270,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_16271,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_498]) ).

cnf(c_16272,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_498]) ).

cnf(c_16273,negated_conjecture,
    ( sP9_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

cnf(c_16274,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_496]) ).

cnf(c_16275,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_496]) ).

cnf(c_16276,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_496]) ).

cnf(c_16277,negated_conjecture,
    ( sP13_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_16278,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_494]) ).

cnf(c_16279,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_494]) ).

cnf(c_16280,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_494]) ).

cnf(c_16281,negated_conjecture,
    ( sP16_iProver_split
    | sP17_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_16282,negated_conjecture,
    ( sP8_iProver_split
    | sP12_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_16283,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_490]) ).

cnf(c_16284,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_490]) ).

cnf(c_16285,negated_conjecture,
    ( sP11_iProver_split
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

cnf(c_16286,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_488]) ).

cnf(c_16287,negated_conjecture,
    ( sP13_iProver_split
    | sP18_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_16288,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_486]) ).

cnf(c_16289,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_486]) ).

cnf(c_16290,negated_conjecture,
    ( sP12_iProver_split
    | sP22_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_16296,negated_conjecture,
    ( hskp5
    | sP4_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_16297,negated_conjecture,
    ( hskp28
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_16298,negated_conjecture,
    ( hskp28
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

cnf(c_16299,negated_conjecture,
    ( hskp12
    | sP4_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_16301,negated_conjecture,
    ( hskp8
    | sP5_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

cnf(c_16305,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_463]) ).

cnf(c_16306,negated_conjecture,
    ( hskp15
    | sP14_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

cnf(c_16307,negated_conjecture,
    ( hskp7
    | sP20_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

cnf(c_16310,negated_conjecture,
    ( hskp6
    | sP15_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

cnf(c_16311,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_451]) ).

cnf(c_16312,negated_conjecture,
    ( hskp19
    | sP15_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_16313,negated_conjecture,
    ( hskp3
    | sP6_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_16314,negated_conjecture,
    ( hskp12
    | sP14_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_16319,negated_conjecture,
    ( hskp11
    | hskp21
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_16322,negated_conjecture,
    ( hskp11
    | hskp26
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

cnf(c_16323,negated_conjecture,
    ( hskp30
    | hskp20
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

cnf(c_16328,negated_conjecture,
    ( hskp13
    | hskp23
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_16330,negated_conjecture,
    ( hskp28
    | hskp4
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_16331,negated_conjecture,
    ( hskp9
    | hskp29
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

cnf(c_16334,negated_conjecture,
    ( hskp1
    | hskp13
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

cnf(c_16335,negated_conjecture,
    ( hskp28
    | hskp19
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_16336,negated_conjecture,
    ( hskp8
    | hskp17
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_16337,negated_conjecture,
    ( hskp21
    | hskp0
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_16345,negated_conjecture,
    ( hskp20
    | hskp2
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

cnf(c_16348,negated_conjecture,
    ( hskp28
    | hskp27
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_16374,plain,
    ( ~ c2_1(a793)
    | ~ c0_1(a793)
    | ~ sP19_iProver_split
    | c1_1(a793) ),
    inference(instantiation,[status(thm)],[c_16283]) ).

cnf(c_16380,plain,
    ( ~ c2_1(a829)
    | ~ c1_1(a829)
    | ~ c0_1(a829)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16259]) ).

cnf(c_16387,plain,
    ( ~ c3_1(a796)
    | ~ c2_1(a796)
    | ~ sP5_iProver_split
    | c1_1(a796) ),
    inference(instantiation,[status(thm)],[c_16263]) ).

cnf(c_16390,plain,
    ( ~ c3_1(a817)
    | ~ c2_1(a817)
    | ~ sP5_iProver_split
    | c1_1(a817) ),
    inference(instantiation,[status(thm)],[c_16263]) ).

cnf(c_16393,plain,
    ( ~ c3_1(a800)
    | ~ c2_1(a800)
    | ~ sP5_iProver_split
    | c1_1(a800) ),
    inference(instantiation,[status(thm)],[c_16263]) ).

cnf(c_16394,plain,
    ( ~ c3_1(a799)
    | ~ c2_1(a799)
    | ~ sP5_iProver_split
    | c1_1(a799) ),
    inference(instantiation,[status(thm)],[c_16263]) ).

cnf(c_16402,plain,
    ( ~ c2_1(a798)
    | ~ c0_1(a798)
    | ~ sP8_iProver_split
    | c3_1(a798) ),
    inference(instantiation,[status(thm)],[c_16267]) ).

cnf(c_16406,plain,
    ( ~ c1_1(a825)
    | ~ c0_1(a825)
    | ~ sP11_iProver_split
    | c2_1(a825) ),
    inference(instantiation,[status(thm)],[c_16271]) ).

cnf(c_16409,plain,
    ( ~ c1_1(a803)
    | ~ c0_1(a803)
    | ~ sP11_iProver_split
    | c2_1(a803) ),
    inference(instantiation,[status(thm)],[c_16271]) ).

cnf(c_16415,plain,
    ( ~ c2_1(a809)
    | ~ c1_1(a809)
    | ~ sP12_iProver_split
    | c0_1(a809) ),
    inference(instantiation,[status(thm)],[c_16272]) ).

cnf(c_16417,plain,
    ( ~ c1_1(a829)
    | ~ c0_1(a829)
    | ~ sP13_iProver_split
    | c3_1(a829) ),
    inference(instantiation,[status(thm)],[c_16274]) ).

cnf(c_16429,plain,
    ( ~ c2_1(a809)
    | ~ c1_1(a809)
    | ~ sP16_iProver_split
    | c3_1(a809) ),
    inference(instantiation,[status(thm)],[c_16278]) ).

cnf(c_16432,plain,
    ( ~ sP21_iProver_split
    | c3_1(a833)
    | c2_1(a833)
    | c0_1(a833) ),
    inference(instantiation,[status(thm)],[c_16286]) ).

cnf(c_16443,plain,
    ( ~ c3_1(a867)
    | ~ c1_1(a867)
    | ~ c0_1(a867)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_16261]) ).

cnf(c_16451,plain,
    ( ~ c2_1(a806)
    | ~ c1_1(a806)
    | ~ sP16_iProver_split
    | c3_1(a806) ),
    inference(instantiation,[status(thm)],[c_16278]) ).

cnf(c_16452,plain,
    ( ~ c1_1(a806)
    | ~ c0_1(a806)
    | ~ sP13_iProver_split
    | c3_1(a806) ),
    inference(instantiation,[status(thm)],[c_16274]) ).

cnf(c_16454,plain,
    ( ~ c1_1(a806)
    | ~ c0_1(a806)
    | ~ sP11_iProver_split
    | c2_1(a806) ),
    inference(instantiation,[status(thm)],[c_16271]) ).

cnf(c_16455,plain,
    ( ~ c2_1(a806)
    | ~ c1_1(a806)
    | ~ c0_1(a806)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16259]) ).

cnf(c_16456,plain,
    ( ~ c2_1(a806)
    | ~ c0_1(a806)
    | ~ sP8_iProver_split
    | c3_1(a806) ),
    inference(instantiation,[status(thm)],[c_16267]) ).

cnf(c_16467,plain,
    ( ~ c1_1(a806)
    | ~ sP9_iProver_split
    | c3_1(a806)
    | c2_1(a806) ),
    inference(instantiation,[status(thm)],[c_16268]) ).

cnf(c_16474,plain,
    ( ~ c3_1(a803)
    | ~ c1_1(a803)
    | ~ sP18_iProver_split
    | c0_1(a803) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

cnf(c_16482,plain,
    ( ~ c3_1(a797)
    | ~ c1_1(a797)
    | ~ sP18_iProver_split
    | c0_1(a797) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

cnf(c_16485,plain,
    ( ~ c3_1(a797)
    | ~ c1_1(a797)
    | ~ c0_1(a797)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_16261]) ).

cnf(c_16488,plain,
    ( ~ c2_1(a797)
    | ~ c1_1(a797)
    | ~ sP12_iProver_split
    | c0_1(a797) ),
    inference(instantiation,[status(thm)],[c_16272]) ).

cnf(c_16490,plain,
    ( ~ c2_1(a797)
    | ~ c1_1(a797)
    | ~ c0_1(a797)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16259]) ).

cnf(c_16492,plain,
    ( ~ sP21_iProver_split
    | c3_1(a814)
    | c2_1(a814)
    | c0_1(a814) ),
    inference(instantiation,[status(thm)],[c_16286]) ).

cnf(c_16494,plain,
    ( ~ c2_1(a832)
    | ~ sP14_iProver_split
    | c3_1(a832)
    | c0_1(a832) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

cnf(c_16495,plain,
    ( ~ c2_1(a814)
    | ~ sP14_iProver_split
    | c3_1(a814)
    | c0_1(a814) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

cnf(c_16497,plain,
    ( ~ c2_1(a795)
    | ~ sP14_iProver_split
    | c3_1(a795)
    | c0_1(a795) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

cnf(c_16505,plain,
    ( ~ c3_1(a796)
    | ~ c2_1(a796)
    | ~ c0_1(a796)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_16265]) ).

cnf(c_16516,plain,
    ( ~ c3_1(a829)
    | ~ c1_1(a829)
    | ~ c0_1(a829)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_16261]) ).

cnf(c_16524,plain,
    ( ~ c3_1(a838)
    | ~ c0_1(a838)
    | ~ sP10_iProver_split
    | c2_1(a838) ),
    inference(instantiation,[status(thm)],[c_16269]) ).

cnf(c_16529,plain,
    ( ~ c3_1(a799)
    | ~ c0_1(a799)
    | ~ sP10_iProver_split
    | c2_1(a799) ),
    inference(instantiation,[status(thm)],[c_16269]) ).

cnf(c_16549,plain,
    ( ~ c3_1(a797)
    | ~ c2_1(a797)
    | ~ c1_1(a797)
    | ~ sP28_iProver_split ),
    inference(instantiation,[status(thm)],[c_16305]) ).

cnf(c_16558,plain,
    ( ~ c1_1(a805)
    | ~ sP9_iProver_split
    | c3_1(a805)
    | c2_1(a805) ),
    inference(instantiation,[status(thm)],[c_16268]) ).

cnf(c_16559,plain,
    ( ~ c1_1(a805)
    | ~ sP6_iProver_split
    | c3_1(a805)
    | c0_1(a805) ),
    inference(instantiation,[status(thm)],[c_16264]) ).

cnf(c_16564,plain,
    ( ~ c1_1(a805)
    | ~ c0_1(a805)
    | ~ sP11_iProver_split
    | c2_1(a805) ),
    inference(instantiation,[status(thm)],[c_16271]) ).

cnf(c_16573,plain,
    ( ~ c2_1(a832)
    | ~ c0_1(a832)
    | ~ sP8_iProver_split
    | c3_1(a832) ),
    inference(instantiation,[status(thm)],[c_16267]) ).

cnf(c_16578,plain,
    ( ~ sP21_iProver_split
    | c3_1(a795)
    | c2_1(a795)
    | c0_1(a795) ),
    inference(instantiation,[status(thm)],[c_16286]) ).

cnf(c_16582,plain,
    ( ~ c3_1(a796)
    | ~ c1_1(a796)
    | ~ c0_1(a796)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_16261]) ).

cnf(c_16597,plain,
    ( ~ c1_1(a833)
    | ~ sP6_iProver_split
    | c3_1(a833)
    | c0_1(a833) ),
    inference(instantiation,[status(thm)],[c_16264]) ).

cnf(c_16599,plain,
    ( ~ c1_1(a807)
    | ~ sP6_iProver_split
    | c3_1(a807)
    | c0_1(a807) ),
    inference(instantiation,[status(thm)],[c_16264]) ).

cnf(c_16620,plain,
    ( ~ c3_1(a808)
    | ~ c0_1(a808)
    | ~ sP10_iProver_split
    | c2_1(a808) ),
    inference(instantiation,[status(thm)],[c_16269]) ).

cnf(c_16630,plain,
    ( ~ c2_1(a869)
    | ~ c1_1(a869)
    | ~ sP12_iProver_split
    | c0_1(a869) ),
    inference(instantiation,[status(thm)],[c_16272]) ).

cnf(c_16639,plain,
    ( ~ c3_1(a833)
    | ~ sP17_iProver_split
    | c2_1(a833)
    | c0_1(a833) ),
    inference(instantiation,[status(thm)],[c_16279]) ).

cnf(c_16644,plain,
    ( ~ c3_1(a800)
    | ~ sP17_iProver_split
    | c2_1(a800)
    | c0_1(a800) ),
    inference(instantiation,[status(thm)],[c_16279]) ).

cnf(c_16646,plain,
    ( ~ c3_1(a794)
    | ~ sP17_iProver_split
    | c2_1(a794)
    | c0_1(a794) ),
    inference(instantiation,[status(thm)],[c_16279]) ).

cnf(c_16662,plain,
    ( ~ c3_1(a796)
    | ~ c2_1(a796)
    | ~ c1_1(a796)
    | ~ sP28_iProver_split ),
    inference(instantiation,[status(thm)],[c_16305]) ).

cnf(c_16677,plain,
    ( ~ c3_1(a803)
    | ~ c1_1(a803)
    | ~ sP15_iProver_split
    | c2_1(a803) ),
    inference(instantiation,[status(thm)],[c_16276]) ).

cnf(c_16683,plain,
    ( ~ c3_1(a869)
    | ~ sP20_iProver_split
    | c1_1(a869)
    | c0_1(a869) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

cnf(c_16690,plain,
    ( ~ c3_1(a800)
    | ~ sP20_iProver_split
    | c1_1(a800)
    | c0_1(a800) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

cnf(c_16695,plain,
    ( ~ c3_1(a833)
    | ~ c1_1(a833)
    | ~ sP15_iProver_split
    | c2_1(a833) ),
    inference(instantiation,[status(thm)],[c_16276]) ).

cnf(c_16722,plain,
    ( ~ c3_1(a869)
    | ~ c2_1(a869)
    | ~ sP3_iProver_split
    | c0_1(a869) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_16724,plain,
    ( ~ c3_1(a817)
    | ~ c2_1(a817)
    | ~ sP3_iProver_split
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_16725,plain,
    ( ~ c3_1(a802)
    | ~ c2_1(a802)
    | ~ sP3_iProver_split
    | c0_1(a802) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_16744,plain,
    ( ~ c2_1(a832)
    | ~ sP23_iProver_split
    | c3_1(a832)
    | c1_1(a832) ),
    inference(instantiation,[status(thm)],[c_16289]) ).

cnf(c_16746,plain,
    ( ~ c2_1(a802)
    | ~ sP23_iProver_split
    | c3_1(a802)
    | c1_1(a802) ),
    inference(instantiation,[status(thm)],[c_16289]) ).

cnf(c_16831,plain,
    ( ~ c3_1(a817)
    | ~ sP20_iProver_split
    | c1_1(a817)
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

cnf(c_16835,plain,
    ( ~ c3_1(a808)
    | ~ sP20_iProver_split
    | c1_1(a808)
    | c0_1(a808) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

cnf(c_16871,plain,
    ( ~ c3_1(a833)
    | ~ c1_1(a833)
    | ~ sP18_iProver_split
    | c0_1(a833) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

cnf(c_16892,plain,
    ( ~ sP22_iProver_split
    | c3_1(a807)
    | c1_1(a807)
    | c0_1(a807) ),
    inference(instantiation,[status(thm)],[c_16288]) ).

cnf(c_16893,plain,
    ( ~ sP22_iProver_split
    | c3_1(a802)
    | c1_1(a802)
    | c0_1(a802) ),
    inference(instantiation,[status(thm)],[c_16288]) ).

cnf(c_16966,plain,
    ( ~ c3_1(a817)
    | ~ c2_1(a817)
    | ~ c0_1(a817)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_16265]) ).

cnf(c_16979,plain,
    ( ~ c3_1(a800)
    | ~ c2_1(a800)
    | ~ sP3_iProver_split
    | c0_1(a800) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_16994,plain,
    ( ~ c3_1(a797)
    | ~ c2_1(a797)
    | ~ sP3_iProver_split
    | c0_1(a797) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_17052,plain,
    ( ~ c2_1(a802)
    | ~ sP14_iProver_split
    | c3_1(a802)
    | c0_1(a802) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

cnf(c_17057,plain,
    ( ~ sP29_iProver_split
    | c3_1(a856)
    | c2_1(a856)
    | c1_1(a856) ),
    inference(instantiation,[status(thm)],[c_16311]) ).

cnf(c_17088,plain,
    ( ~ c1_1(a807)
    | ~ sP9_iProver_split
    | c3_1(a807)
    | c2_1(a807) ),
    inference(instantiation,[status(thm)],[c_16268]) ).

cnf(c_17119,plain,
    ( ~ c3_1(a809)
    | ~ c2_1(a809)
    | ~ sP3_iProver_split
    | c0_1(a809) ),
    inference(instantiation,[status(thm)],[c_16260]) ).

cnf(c_17120,plain,
    ( ~ c3_1(a809)
    | ~ c2_1(a809)
    | ~ c1_1(a809)
    | ~ sP28_iProver_split ),
    inference(instantiation,[status(thm)],[c_16305]) ).

cnf(c_17217,plain,
    ( ~ c1_1(a856)
    | ~ sP9_iProver_split
    | c3_1(a856)
    | c2_1(a856) ),
    inference(instantiation,[status(thm)],[c_16268]) ).

cnf(c_17219,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17217,c_17119,c_17120,c_17088,c_17057,c_17052,c_16994,c_16979,c_16966,c_16893,c_16892,c_16871,c_16835,c_16831,c_16746,c_16744,c_16725,c_16724,c_16722,c_16695,c_16690,c_16683,c_16677,c_16662,c_16646,c_16644,c_16639,c_16630,c_16620,c_16599,c_16597,c_16582,c_16578,c_16573,c_16558,c_16559,c_16564,c_16549,c_16529,c_16524,c_16516,c_16505,c_16497,c_16495,c_16494,c_16492,c_16482,c_16485,c_16488,c_16490,c_16474,c_16467,c_16456,c_16451,c_16452,c_16454,c_16455,c_16443,c_16432,c_16429,c_16417,c_16415,c_16409,c_16406,c_16402,c_16394,c_16393,c_16390,c_16387,c_16380,c_16374,c_16348,c_16345,c_16337,c_16336,c_16335,c_16334,c_16331,c_16330,c_16328,c_16323,c_16322,c_16319,c_16314,c_16313,c_16312,c_16310,c_16307,c_16306,c_16301,c_16299,c_16298,c_16297,c_16296,c_16290,c_16287,c_16285,c_16282,c_16281,c_16277,c_16273,c_16270,c_16266,c_16262,c_5280,c_5270,c_5260,c_4014,c_4004,c_3994,c_3426,c_3416,c_3406,c_2781,c_2771,c_2761,c_137,c_149,c_150,c_157,c_161,c_162,c_165,c_173,c_181,c_189,c_190,c_193,c_197,c_198,c_205,c_209,c_210,c_213,c_217,c_218,c_221,c_222,c_225,c_229,c_233,c_235,c_237,c_238,c_241,c_121,c_122,c_123,c_125,c_126,c_127,c_129,c_130,c_131,c_133,c_134,c_135,c_138,c_139,c_158,c_159,c_163,c_167,c_174,c_175,c_182,c_183,c_194,c_195,c_199,c_206,c_207,c_211,c_214,c_215,c_219,c_223,c_226,c_227,c_230,c_231,c_239,c_242,c_243,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 17:49:09 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.16/1.21  % SZS status Started for theBenchmark.p
% 2.16/1.21  % SZS status Theorem for theBenchmark.p
% 2.16/1.21  
% 2.16/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.16/1.21  
% 2.16/1.21  ------  iProver source info
% 2.16/1.21  
% 2.16/1.21  git: date: 2023-05-31 18:12:56 +0000
% 2.16/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.16/1.21  git: non_committed_changes: false
% 2.16/1.21  git: last_make_outside_of_git: false
% 2.16/1.21  
% 2.16/1.21  ------ Parsing...
% 2.16/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.16/1.21  
% 2.16/1.21  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 2.16/1.21   gs_s  sp: 109 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.16/1.21  ------ Proving...
% 2.16/1.21  ------ Problem Properties 
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  clauses                                 194
% 2.16/1.21  conjectures                             191
% 2.16/1.21  EPR                                     194
% 2.16/1.21  Horn                                    109
% 2.16/1.21  unary                                   0
% 2.16/1.21  binary                                  93
% 2.16/1.21  lits                                    518
% 2.16/1.21  lits eq                                 0
% 2.16/1.21  fd_pure                                 0
% 2.16/1.21  fd_pseudo                               0
% 2.16/1.21  fd_cond                                 0
% 2.16/1.21  fd_pseudo_cond                          0
% 2.16/1.21  AC symbols                              0
% 2.16/1.21  
% 2.16/1.21  ------ Schedule EPR non Horn non eq is on
% 2.16/1.21  
% 2.16/1.21  ------ no equalities: superposition off 
% 2.16/1.21  
% 2.16/1.21  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  ------ 
% 2.16/1.21  Current options:
% 2.16/1.21  ------ 
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  ------ Proving...
% 2.16/1.21  
% 2.16/1.21  
% 2.16/1.21  % SZS status Theorem for theBenchmark.p
% 2.16/1.21  
% 2.16/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.16/1.22  
% 2.60/1.22  
%------------------------------------------------------------------------------