TSTP Solution File: SYN498+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN498+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:07:54 EDT 2023

% Result   : Theorem 3.70s 1.14s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f241)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp20
        | hskp28 )
      & ( hskp19
        | hskp28
        | hskp4 )
      & ( hskp28
        | hskp25
        | hskp5 )
      & ( hskp2
        | hskp4
        | hskp16 )
      & ( hskp17
        | hskp2
        | hskp9 )
      & ( hskp24
        | hskp13
        | hskp21 )
      & ( hskp8
        | hskp13
        | hskp27 )
      & ( hskp14
        | hskp26
        | hskp29 )
      & ( hskp24
        | hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c1_1(X118) ) ) )
      & ( hskp25
        | hskp5
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp0
        | hskp22
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) ) )
      & ( hskp3
        | hskp30
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp16
        | hskp27
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp25
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp11
        | hskp19
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp7
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp6
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | c3_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp10
        | hskp21
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp8
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp0
        | hskp28
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp9
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | c3_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp9
        | hskp29
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp6
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp17
        | hskp14
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp25
        | hskp5
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp14
        | hskp16
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp12
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp4
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp23
        | hskp18
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp15
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp24
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp12
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp15
        | hskp9
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp1
        | hskp10
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp18
        | hskp13
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp23
        | hskp22
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp20
        | hskp22
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp20
        | hskp21
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp17
        | hskp21
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp20
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp19
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp9
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp3
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c3_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp6
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp17
        | hskp16
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp7
        | hskp28
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp15
        | hskp5
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | ~ c0_1(X48)
              | c3_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp11
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp10
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp6
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp8
        | hskp7
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp6
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c1_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp27
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp5
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp0
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c2_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp0
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp0
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c3_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a54)
          & c2_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a35)
          & c1_1(a35)
          & c0_1(a35)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a25)
          & c2_1(a25)
          & c1_1(a25)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a99)
          & c2_1(a99)
          & c1_1(a99)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a70)
          & ~ c1_1(a70)
          & c0_1(a70)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a58)
          & ~ c0_1(a58)
          & c2_1(a58)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a45)
          & ~ c1_1(a45)
          & c3_1(a45)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a42)
          & c2_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a38)
          & c1_1(a38)
          & c0_1(a38)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a37)
          & c3_1(a37)
          & c1_1(a37)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a36)
          & c3_1(a36)
          & c2_1(a36)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a31)
          & ~ c0_1(a31)
          & c1_1(a31)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a28)
          & ~ c0_1(a28)
          & c3_1(a28)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a27)
          & c3_1(a27)
          & c0_1(a27)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a24)
          & ~ c1_1(a24)
          & ~ c0_1(a24)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a22)
          & c3_1(a22)
          & c2_1(a22)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a21)
          & c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c1_1(a20)
          & c2_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a19)
          & ~ c0_1(a19)
          & c2_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a18)
          & ~ c0_1(a18)
          & c3_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a16)
          & c1_1(a16)
          & c0_1(a16)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c1_1(a14)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a13)
          & ~ c1_1(a13)
          & ~ c0_1(a13)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a11)
          & ~ c1_1(a11)
          & c0_1(a11)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a9)
          & ~ c2_1(a9)
          & c0_1(a9)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a7)
          & c3_1(a7)
          & c0_1(a7)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & c3_1(a3)
          & c1_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2)
          & ~ c2_1(a2)
          & ~ c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1)
          & c2_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp20
          | hskp28 )
        & ( hskp19
          | hskp28
          | hskp4 )
        & ( hskp28
          | hskp25
          | hskp5 )
        & ( hskp2
          | hskp4
          | hskp16 )
        & ( hskp17
          | hskp2
          | hskp9 )
        & ( hskp24
          | hskp13
          | hskp21 )
        & ( hskp8
          | hskp13
          | hskp27 )
        & ( hskp14
          | hskp26
          | hskp29 )
        & ( hskp24
          | hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c1_1(X118) ) ) )
        & ( hskp25
          | hskp5
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp0
          | hskp22
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) ) )
        & ( hskp3
          | hskp30
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp16
          | hskp27
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp25
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp11
          | hskp19
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp7
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp6
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp10
          | hskp21
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp8
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp0
          | hskp28
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp9
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp9
          | hskp29
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp6
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp17
          | hskp14
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp25
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp14
          | hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp12
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp4
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp23
          | hskp18
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp15
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp24
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp12
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp15
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp1
          | hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp18
          | hskp13
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp23
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp20
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp20
          | hskp21
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp17
          | hskp21
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp20
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp19
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp9
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp3
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp6
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp7
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp15
          | hskp5
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp11
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp10
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp6
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp8
          | hskp7
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp27
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp5
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp0
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp0
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a54)
            & c2_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a35)
            & c1_1(a35)
            & c0_1(a35)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a25)
            & c2_1(a25)
            & c1_1(a25)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a99)
            & c2_1(a99)
            & c1_1(a99)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a70)
            & ~ c1_1(a70)
            & c0_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a45)
            & ~ c1_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a42)
            & c2_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a38)
            & c1_1(a38)
            & c0_1(a38)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a37)
            & c3_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a31)
            & ~ c0_1(a31)
            & c1_1(a31)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a28)
            & ~ c0_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a27)
            & c3_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a24)
            & ~ c1_1(a24)
            & ~ c0_1(a24)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a22)
            & c3_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a21)
            & c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c1_1(a20)
            & c2_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c0_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a18)
            & ~ c0_1(a18)
            & c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & c1_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c1_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a13)
            & ~ c1_1(a13)
            & ~ c0_1(a13)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a11)
            & ~ c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a9)
            & ~ c2_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a7)
            & c3_1(a7)
            & c0_1(a7)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & c3_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp20
          | hskp28 )
        & ( hskp19
          | hskp28
          | hskp4 )
        & ( hskp28
          | hskp25
          | hskp5 )
        & ( hskp2
          | hskp4
          | hskp16 )
        & ( hskp17
          | hskp2
          | hskp9 )
        & ( hskp24
          | hskp13
          | hskp21 )
        & ( hskp8
          | hskp13
          | hskp27 )
        & ( hskp14
          | hskp26
          | hskp29 )
        & ( hskp24
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp25
          | hskp5
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp0
          | hskp22
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp3
          | hskp30
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp16
          | hskp27
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp11
          | hskp19
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp7
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp10
          | hskp21
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp8
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp0
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp9
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp9
          | hskp29
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp6
          | hskp24
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp17
          | hskp14
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp25
          | hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp14
          | hskp16
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp12
          | hskp22
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) ) )
        & ( hskp4
          | hskp21
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( hskp23
          | hskp18
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp15
          | hskp4
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp24
          | hskp13
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp20
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp12
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c0_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp15
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp1
          | hskp10
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp18
          | hskp13
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp23
          | hskp22
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp20
          | hskp22
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp20
          | hskp21
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp17
          | hskp21
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp20
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp19
          | hskp29
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp9
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp3
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp6
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp17
          | hskp16
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp7
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp15
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp14
          | hskp13
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp9
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp8
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp27
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp5
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c0_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp4
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c2_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp0
          | hskp3
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp1
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp2
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp1
          | hskp2
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | hskp0
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | c3_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c3_1(X117)
                | c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ( c3_1(a54)
            & c2_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a35)
            & c1_1(a35)
            & c0_1(a35)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a25)
            & c2_1(a25)
            & c1_1(a25)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a99)
            & c2_1(a99)
            & c1_1(a99)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a70)
            & ~ c1_1(a70)
            & c0_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a45)
            & ~ c1_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a42)
            & c2_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a38)
            & c1_1(a38)
            & c0_1(a38)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a37)
            & c3_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a31)
            & ~ c0_1(a31)
            & c1_1(a31)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a28)
            & ~ c0_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a27)
            & c3_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a24)
            & ~ c1_1(a24)
            & ~ c0_1(a24)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a22)
            & c3_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a21)
            & c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c1_1(a20)
            & c2_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c0_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a18)
            & ~ c0_1(a18)
            & c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & c1_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c1_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a13)
            & ~ c1_1(a13)
            & ~ c0_1(a13)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a11)
            & ~ c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a9)
            & ~ c2_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a7)
            & c3_1(a7)
            & c0_1(a7)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & c3_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp7
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp6
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp8
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp9
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp20
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c0_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp18
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | ~ c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp20
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp9
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp6
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp12
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp10
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp6
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp9
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c1_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp27
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp5
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c0_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp4
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c2_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp1
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp2
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | c2_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c0_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | c3_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c3_1(X117)
            | c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c3_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp22
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp30
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp21
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp22
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp18
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp13
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp9
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp10
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp21
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X57] :
          ( c3_1(X57)
          | c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp5
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X94] :
          ( ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X101] :
          ( ~ c3_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c2_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp3
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X109] :
          ( ~ c3_1(X109)
          | c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | c3_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c3_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c2_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c2_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( ~ c0_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c1_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c0_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c1_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ c0_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c3_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f87,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c1_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c3_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c1_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c2_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c1_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c3_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c0_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ! [X111] :
      ( hskp1
      | hskp2
      | c3_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f137,plain,
    ! [X106] :
      ( hskp0
      | hskp3
      | ~ c2_1(X106)
      | c1_1(X106)
      | c0_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f156,plain,
    ! [X67] :
      ( hskp7
      | hskp28
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f170,plain,
    ! [X42] :
      ( hskp20
      | hskp22
      | ~ c3_1(X42)
      | c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f171,plain,
    ! [X41] :
      ( hskp23
      | hskp22
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f172,plain,
    ! [X40] :
      ( hskp18
      | hskp13
      | ~ c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X33] :
      ( hskp12
      | hskp30
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X30] :
      ( hskp24
      | hskp13
      | ~ c3_1(X30)
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X28] :
      ( hskp23
      | hskp18
      | ~ c3_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ! [X26] :
      ( hskp12
      | hskp22
      | ~ c0_1(X26)
      | c3_1(X26)
      | c2_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f185,plain,
    ! [X22] :
      ( hskp14
      | hskp16
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    ! [X21] :
      ( hskp25
      | hskp5
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X19] :
      ( hskp6
      | hskp24
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp0
      | hskp28
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    ! [X2] :
      ( hskp0
      | hskp22
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp25
      | hskp5
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp24
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    ( hskp17
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f207,plain,
    ( hskp2
    | hskp4
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f208,plain,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f210,plain,
    ( hskp1
    | hskp20
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp28 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_51,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_52,negated_conjecture,
    ( hskp4
    | hskp2
    | hskp16 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_53,negated_conjecture,
    ( hskp2
    | hskp17
    | hskp9 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_57,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp24
    | hskp3 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_59,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp0
    | hskp22 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_62,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp25 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_64,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp7 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_65,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_68,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_71,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_73,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_74,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp16
    | hskp14 ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_76,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp12 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp23
    | hskp18 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_81,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp20 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_82,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp30
    | hskp12 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_86,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp18 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_87,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp18 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp23 ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp22 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_91,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_100,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_101,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp7 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_111,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_112,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_115,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_116,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_117,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_119,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_122,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp0 ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_124,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_125,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_127,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_128,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp30
    | c3_1(a54) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp30
    | c2_1(a54) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp30
    | c0_1(a54) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp28
    | c3_1(a25) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp28
    | c2_1(a25) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp28
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_141,negated_conjecture,
    ( ~ hskp27
    | c3_1(a12) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp27
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp27
    | c0_1(a12) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp25
    | c0_1(a70) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_153,negated_conjecture,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_154,negated_conjecture,
    ( ~ c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp24
    | c2_1(a58) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp23
    | c3_1(a45) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_161,negated_conjecture,
    ( ~ c1_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_162,negated_conjecture,
    ( ~ hskp22
    | c2_1(a42) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp22
    | c0_1(a42) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_169,negated_conjecture,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp20
    | c3_1(a37) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_172,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_178,negated_conjecture,
    ( ~ c0_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp18
    | c1_1(a31) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp17
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_185,negated_conjecture,
    ( ~ c1_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp16
    | c3_1(a27) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp16
    | c0_1(a27) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_193,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp14
    | c3_1(a22) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp14
    | c2_1(a22) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp13
    | c2_1(a21) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp13
    | c0_1(a21) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_202,negated_conjecture,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp12
    | c2_1(a20) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp9
    | c1_1(a16) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_221,negated_conjecture,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_222,negated_conjecture,
    ( ~ c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp7
    | c1_1(a14) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_226,negated_conjecture,
    ( ~ c1_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_229,negated_conjecture,
    ( ~ c2_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_230,negated_conjecture,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp5
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_234,negated_conjecture,
    ( ~ c2_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp4
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_237,negated_conjecture,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_238,negated_conjecture,
    ( ~ hskp3
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp3
    | c0_1(a7) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_242,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp2
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_245,negated_conjecture,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_246,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_247,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_248,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_249,negated_conjecture,
    ( ~ c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_250,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_251,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_252,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_295,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_252,c_248,c_172,c_140,c_49]) ).

cnf(c_360,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_248,c_172,c_140,c_49,c_125]) ).

cnf(c_369,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_248,c_172,c_140,c_49,c_122]) ).

cnf(c_378,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_248,c_172,c_140,c_49,c_103]) ).

cnf(c_390,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_248,c_172,c_140,c_49,c_89]) ).

cnf(c_393,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_248,c_172,c_140,c_49,c_88]) ).

cnf(c_396,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_248,c_172,c_140,c_49,c_87]) ).

cnf(c_405,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_248,c_172,c_140,c_49,c_76]) ).

cnf(c_417,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp30
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_248,c_172,c_140,c_49,c_82]) ).

cnf(c_418,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp30
    | hskp12 ),
    inference(renaming,[status(thm)],[c_417]) ).

cnf(c_420,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_248,c_172,c_140,c_49,c_80]) ).

cnf(c_421,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp13 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_426,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp23
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_248,c_172,c_140,c_49,c_78]) ).

cnf(c_427,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp23
    | hskp18 ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_429,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_248,c_172,c_140,c_49,c_74]) ).

cnf(c_430,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp14 ),
    inference(renaming,[status(thm)],[c_429]) ).

cnf(c_432,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_248,c_172,c_140,c_49,c_73]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp25
    | hskp5 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_438,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_248,c_172,c_140,c_49,c_71]) ).

cnf(c_439,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp6 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_444,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_248,c_172,c_140,c_49,c_68]) ).

cnf(c_445,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp0 ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_459,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp0
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_248,c_172,c_140,c_49,c_59]) ).

cnf(c_460,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp0
    | hskp22 ),
    inference(renaming,[status(thm)],[c_459]) ).

cnf(c_462,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp25
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_248,c_172,c_140,c_49,c_58]) ).

cnf(c_463,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp25
    | hskp5 ),
    inference(renaming,[status(thm)],[c_462]) ).

cnf(c_465,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp24
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_248,c_172,c_140,c_49,c_57]) ).

cnf(c_466,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp24
    | hskp3 ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_468,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_248,c_172,c_140,c_49,c_117]) ).

cnf(c_470,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_248,c_172,c_140,c_49,c_124]) ).

cnf(c_471,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_472,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_248,c_172,c_140,c_49,c_119]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_248,c_172,c_140,c_49,c_115]) ).

cnf(c_475,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_476,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_248,c_172,c_140,c_49,c_114]) ).

cnf(c_477,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_476]) ).

cnf(c_480,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_248,c_172,c_140,c_49,c_123]) ).

cnf(c_481,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_480]) ).

cnf(c_486,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_248,c_172,c_140,c_49,c_106]) ).

cnf(c_487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( c3_1(X1)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_248,c_172,c_140,c_49,c_100,c_65]) ).

cnf(c_489,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_490,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a1)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_489]) ).

cnf(c_491,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_248,c_172,c_140,c_49,c_86]) ).

cnf(c_492,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_496,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_248,c_172,c_140,c_49,c_111]) ).

cnf(c_497,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_496]) ).

cnf(c_502,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_248,c_172,c_140,c_49,c_81]) ).

cnf(c_503,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_502]) ).

cnf(c_504,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_248,c_172,c_140,c_49,c_69]) ).

cnf(c_505,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_504]) ).

cnf(c_506,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_489]) ).

cnf(c_512,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_248,c_172,c_140,c_49,c_64]) ).

cnf(c_513,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_515,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_248,c_172,c_140,c_49,c_62]) ).

cnf(c_516,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp25 ),
    inference(renaming,[status(thm)],[c_515]) ).

cnf(c_518,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_248,c_172,c_140,c_49,c_128]) ).

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

cnf(c_520,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_248,c_172,c_140,c_49,c_118]) ).

cnf(c_521,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_520]) ).

cnf(c_522,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_248,c_172,c_140,c_49,c_101]) ).

cnf(c_523,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_522]) ).

cnf(c_524,plain,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_121,c_295]) ).

cnf(c_525,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_524]) ).

cnf(c_526,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_248,c_172,c_140,c_49,c_127]) ).

cnf(c_527,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_526]) ).

cnf(c_528,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_248,c_172,c_140,c_49,c_116]) ).

cnf(c_529,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_528]) ).

cnf(c_530,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_248,c_172,c_140,c_49,c_112]) ).

cnf(c_531,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_530]) ).

cnf(c_532,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_248,c_172,c_140,c_49,c_108]) ).

cnf(c_533,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_532]) ).

cnf(c_534,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_248,c_172,c_140,c_49,c_91]) ).

cnf(c_535,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_534]) ).

cnf(c_536,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_248,c_172,c_140,c_49,c_90]) ).

cnf(c_537,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_536]) ).

cnf(c_538,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_248,c_172,c_140,c_49,c_75]) ).

cnf(c_539,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_538]) ).

cnf(c_540,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_248,c_172,c_140,c_49,c_94]) ).

cnf(c_541,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_540]) ).

cnf(c_3995,plain,
    ( c3_1(a28)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_53,c_183]) ).

cnf(c_4005,plain,
    ( ~ c0_1(a28)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_53,c_182]) ).

cnf(c_4015,plain,
    ( ~ c2_1(a28)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_53,c_181]) ).

cnf(c_4418,plain,
    ( c1_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_139]) ).

cnf(c_4428,plain,
    ( c2_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_138]) ).

cnf(c_4438,plain,
    ( c3_1(a25)
    | hskp25
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_137]) ).

cnf(c_4985,plain,
    ( c0_1(a70)
    | hskp28
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_151]) ).

cnf(c_4995,plain,
    ( ~ c1_1(a70)
    | hskp28
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_150]) ).

cnf(c_5005,plain,
    ( ~ c3_1(a70)
    | hskp28
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_149]) ).

cnf(c_6599,plain,
    ( c0_1(a9)
    | hskp2
    | hskp16 ),
    inference(resolution,[status(thm)],[c_52,c_235]) ).

cnf(c_6609,plain,
    ( ~ c2_1(a9)
    | hskp2
    | hskp16 ),
    inference(resolution,[status(thm)],[c_52,c_234]) ).

cnf(c_6619,plain,
    ( ~ c3_1(a9)
    | hskp2
    | hskp16 ),
    inference(resolution,[status(thm)],[c_52,c_233]) ).

cnf(c_7871,plain,
    ( ~ c0_1(a2)
    | hskp20
    | hskp28 ),
    inference(resolution,[status(thm)],[c_49,c_247]) ).

cnf(c_7881,plain,
    ( ~ c2_1(a2)
    | hskp20
    | hskp28 ),
    inference(resolution,[status(thm)],[c_49,c_246]) ).

cnf(c_7891,plain,
    ( ~ c3_1(a2)
    | hskp20
    | hskp28 ),
    inference(resolution,[status(thm)],[c_49,c_245]) ).

cnf(c_8366,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_506,c_227]) ).

cnf(c_8367,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ c0_1(a13)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_8366]) ).

cnf(c_8386,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_506,c_226]) ).

cnf(c_8387,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a13)
    | ~ c1_1(a1)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_8386]) ).

cnf(c_8406,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(a13)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_506,c_225]) ).

cnf(c_8407,plain,
    ( ~ c3_1(a13)
    | ~ c2_1(a1)
    | ~ c1_1(a1)
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_8406]) ).

cnf(c_18670,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_541]) ).

cnf(c_18671,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_541]) ).

cnf(c_18672,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_541]) ).

cnf(c_18673,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_541]) ).

cnf(c_18674,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_539]) ).

cnf(c_18675,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_539]) ).

cnf(c_18676,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_539]) ).

cnf(c_18677,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).

cnf(c_18678,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_537]) ).

cnf(c_18679,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_537]) ).

cnf(c_18680,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_537]) ).

cnf(c_18681,negated_conjecture,
    ( sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).

cnf(c_18682,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_535]) ).

cnf(c_18683,negated_conjecture,
    ( sP5_iProver_split
    | sP7_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_535]) ).

cnf(c_18684,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_533]) ).

cnf(c_18685,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_533]) ).

cnf(c_18687,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_531]) ).

cnf(c_18688,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_531]) ).

cnf(c_18689,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_531]) ).

cnf(c_18691,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_529]) ).

cnf(c_18692,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_529]) ).

cnf(c_18693,negated_conjecture,
    ( sP9_iProver_split
    | sP15_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_529]) ).

cnf(c_18694,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_527]) ).

cnf(c_18695,negated_conjecture,
    ( sP4_iProver_split
    | sP6_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).

cnf(c_18696,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_525]) ).

cnf(c_18697,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_525]) ).

cnf(c_18698,negated_conjecture,
    ( sP11_iProver_split
    | sP18_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_525]) ).

cnf(c_18699,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_523]) ).

cnf(c_18700,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_523]) ).

cnf(c_18701,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_523]) ).

cnf(c_18702,negated_conjecture,
    ( sP20_iProver_split
    | sP21_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

cnf(c_18703,negated_conjecture,
    ( sP14_iProver_split
    | sP16_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

cnf(c_18704,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_519]) ).

cnf(c_18705,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_519]) ).

cnf(c_18706,negated_conjecture,
    ( sP10_iProver_split
    | sP23_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

cnf(c_18707,negated_conjecture,
    ( hskp25
    | sP2_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

cnf(c_18708,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_513]) ).

cnf(c_18712,negated_conjecture,
    ( hskp9
    | sP6_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

cnf(c_18714,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_503]) ).

cnf(c_18718,negated_conjecture,
    ( hskp9
    | sP13_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

cnf(c_18720,negated_conjecture,
    ( hskp18
    | sP15_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_18723,negated_conjecture,
    ( hskp12
    | sP3_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_18726,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_481]) ).

cnf(c_18727,negated_conjecture,
    ( hskp1
    | sP6_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

cnf(c_18730,negated_conjecture,
    ( hskp6
    | sP6_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

cnf(c_18731,negated_conjecture,
    ( hskp27
    | sP4_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

cnf(c_18732,negated_conjecture,
    ( hskp0
    | sP1_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_18733,negated_conjecture,
    ( hskp2
    | sP7_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_18734,negated_conjecture,
    ( hskp5
    | sP16_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_18735,negated_conjecture,
    ( hskp24
    | hskp3
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_18736,negated_conjecture,
    ( hskp25
    | hskp5
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

cnf(c_18737,negated_conjecture,
    ( hskp0
    | hskp22
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

cnf(c_18742,negated_conjecture,
    ( hskp28
    | hskp0
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_18744,negated_conjecture,
    ( hskp24
    | hskp6
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_18746,negated_conjecture,
    ( hskp25
    | hskp5
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_18747,negated_conjecture,
    ( hskp16
    | hskp14
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_18748,negated_conjecture,
    ( hskp23
    | hskp18
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_18750,negated_conjecture,
    ( hskp24
    | hskp13
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

cnf(c_18751,negated_conjecture,
    ( hskp30
    | hskp12
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

cnf(c_18756,negated_conjecture,
    ( hskp22
    | hskp12
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_18759,negated_conjecture,
    ( hskp13
    | hskp18
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

cnf(c_18760,negated_conjecture,
    ( hskp22
    | hskp23
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

cnf(c_18761,negated_conjecture,
    ( hskp20
    | hskp22
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

cnf(c_18766,negated_conjecture,
    ( hskp28
    | hskp7
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

cnf(c_18769,negated_conjecture,
    ( hskp3
    | hskp0
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

cnf(c_18772,negated_conjecture,
    ( hskp1
    | hskp2
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

cnf(c_18796,plain,
    ( ~ c2_1(a1)
    | ~ c1_1(a1)
    | ~ sP9_iProver_split
    | c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_18682]) ).

cnf(c_18816,plain,
    ( ~ c3_1(a12)
    | ~ c0_1(a12)
    | ~ sP5_iProver_split
    | c2_1(a12) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_18825,plain,
    ( ~ c3_1(a37)
    | ~ c1_1(a37)
    | ~ sP6_iProver_split
    | c2_1(a37) ),
    inference(instantiation,[status(thm)],[c_18678]) ).

cnf(c_18827,plain,
    ( ~ c3_1(a28)
    | ~ c1_1(a28)
    | ~ sP6_iProver_split
    | c2_1(a28) ),
    inference(instantiation,[status(thm)],[c_18678]) ).

cnf(c_18830,plain,
    ( ~ c3_1(a3)
    | ~ c1_1(a3)
    | ~ sP6_iProver_split
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_18678]) ).

cnf(c_18833,plain,
    ( ~ c1_1(a14)
    | ~ sP10_iProver_split
    | c3_1(a14)
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_18684]) ).

cnf(c_18840,plain,
    ( ~ c3_1(a37)
    | ~ sP11_iProver_split
    | c2_1(a37)
    | c0_1(a37) ),
    inference(instantiation,[status(thm)],[c_18685]) ).

cnf(c_18842,plain,
    ( ~ c3_1(a28)
    | ~ sP11_iProver_split
    | c2_1(a28)
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_18685]) ).

cnf(c_18845,plain,
    ( ~ c3_1(a3)
    | ~ sP11_iProver_split
    | c2_1(a3)
    | c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_18685]) ).

cnf(c_18856,plain,
    ( ~ c2_1(a70)
    | ~ c0_1(a70)
    | ~ sP15_iProver_split
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18691]) ).

cnf(c_18857,plain,
    ( ~ c2_1(a42)
    | ~ c0_1(a42)
    | ~ sP15_iProver_split
    | c1_1(a42) ),
    inference(instantiation,[status(thm)],[c_18691]) ).

cnf(c_18858,plain,
    ( ~ c2_1(a21)
    | ~ c0_1(a21)
    | ~ sP15_iProver_split
    | c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_18691]) ).

cnf(c_18864,plain,
    ( ~ c0_1(a70)
    | ~ sP20_iProver_split
    | c3_1(a70)
    | c1_1(a70) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_18866,plain,
    ( ~ c0_1(a21)
    | ~ sP20_iProver_split
    | c3_1(a21)
    | c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_18868,plain,
    ( ~ c0_1(a11)
    | ~ sP20_iProver_split
    | c3_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_18869,plain,
    ( ~ c0_1(a9)
    | ~ sP20_iProver_split
    | c3_1(a9)
    | c1_1(a9) ),
    inference(instantiation,[status(thm)],[c_18699]) ).

cnf(c_18879,plain,
    ( ~ c1_1(a16)
    | ~ c0_1(a16)
    | ~ sP4_iProver_split
    | c2_1(a16) ),
    inference(instantiation,[status(thm)],[c_18675]) ).

cnf(c_18880,plain,
    ( ~ c1_1(a9)
    | ~ c0_1(a9)
    | ~ sP4_iProver_split
    | c2_1(a9) ),
    inference(instantiation,[status(thm)],[c_18675]) ).

cnf(c_18881,plain,
    ( ~ c3_1(a28)
    | ~ sP7_iProver_split
    | c2_1(a28)
    | c1_1(a28) ),
    inference(instantiation,[status(thm)],[c_18679]) ).

cnf(c_18884,plain,
    ( ~ c3_1(a11)
    | ~ sP7_iProver_split
    | c2_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18679]) ).

cnf(c_18888,plain,
    ( ~ c0_1(a70)
    | ~ sP12_iProver_split
    | c3_1(a70)
    | c2_1(a70) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

cnf(c_18890,plain,
    ( ~ c0_1(a9)
    | ~ sP12_iProver_split
    | c3_1(a9)
    | c2_1(a9) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

cnf(c_18897,plain,
    ( ~ sP16_iProver_split
    | c3_1(a2)
    | c2_1(a2)
    | c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_18692]) ).

cnf(c_18931,plain,
    ( ~ c2_1(a21)
    | ~ c1_1(a21)
    | ~ sP9_iProver_split
    | c3_1(a21) ),
    inference(instantiation,[status(thm)],[c_18682]) ).

cnf(c_18935,plain,
    ( ~ c2_1(a16)
    | ~ c1_1(a16)
    | ~ sP9_iProver_split
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_18682]) ).

cnf(c_18937,plain,
    ( ~ c3_1(a25)
    | ~ c2_1(a25)
    | ~ sP1_iProver_split
    | c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_18671]) ).

cnf(c_18943,plain,
    ( ~ c3_1(a22)
    | ~ c2_1(a22)
    | ~ sP1_iProver_split
    | c0_1(a22) ),
    inference(instantiation,[status(thm)],[c_18671]) ).

cnf(c_18962,plain,
    ( ~ c2_1(a21)
    | ~ sP24_iProver_split
    | c3_1(a21)
    | c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_18963,plain,
    ( ~ c2_1(a20)
    | ~ sP24_iProver_split
    | c3_1(a20)
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_18969,plain,
    ( ~ c2_1(a58)
    | ~ sP29_iProver_split
    | c1_1(a58)
    | c0_1(a58) ),
    inference(instantiation,[status(thm)],[c_18726]) ).

cnf(c_18986,plain,
    ( ~ sP21_iProver_split
    | c3_1(a13)
    | c2_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18700]) ).

cnf(c_18987,plain,
    ( ~ sP21_iProver_split
    | c3_1(a11)
    | c2_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18700]) ).

cnf(c_19074,plain,
    ( ~ c1_1(a3)
    | ~ c0_1(a3)
    | ~ sP4_iProver_split
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_18675]) ).

cnf(c_19077,plain,
    ( ~ c3_1(a27)
    | ~ sP7_iProver_split
    | c2_1(a27)
    | c1_1(a27) ),
    inference(instantiation,[status(thm)],[c_18679]) ).

cnf(c_19079,plain,
    ( ~ c3_1(a27)
    | ~ c2_1(a27)
    | ~ sP14_iProver_split
    | c1_1(a27) ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_19082,plain,
    ( ~ c3_1(a27)
    | ~ c0_1(a27)
    | ~ sP5_iProver_split
    | c2_1(a27) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_19083,plain,
    ( ~ c3_1(a27)
    | ~ c2_1(a27)
    | ~ c0_1(a27)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_18670]) ).

cnf(c_19085,plain,
    ( ~ c3_1(a25)
    | ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18672]) ).

cnf(c_19086,plain,
    ( ~ c3_1(a12)
    | ~ c2_1(a12)
    | ~ c1_1(a12)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18672]) ).

cnf(c_19088,plain,
    ( ~ c3_1(a37)
    | ~ c2_1(a37)
    | ~ c1_1(a37)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18672]) ).

cnf(c_19109,plain,
    ( ~ c1_1(a14)
    | ~ sP13_iProver_split
    | c2_1(a14)
    | c0_1(a14) ),
    inference(instantiation,[status(thm)],[c_18688]) ).

cnf(c_19112,plain,
    ( ~ c3_1(a54)
    | ~ c0_1(a54)
    | ~ sP27_iProver_split
    | c1_1(a54) ),
    inference(instantiation,[status(thm)],[c_18714]) ).

cnf(c_19134,plain,
    ( ~ c2_1(a20)
    | ~ sP22_iProver_split
    | c3_1(a20)
    | c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_18701]) ).

cnf(c_19193,plain,
    ( ~ sP23_iProver_split
    | c2_1(a28)
    | c1_1(a28)
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_18704]) ).

cnf(c_19201,plain,
    ( ~ c3_1(a7)
    | ~ c0_1(a7)
    | ~ sP27_iProver_split
    | c1_1(a7) ),
    inference(instantiation,[status(thm)],[c_18714]) ).

cnf(c_19203,plain,
    ( ~ c3_1(a7)
    | ~ sP7_iProver_split
    | c2_1(a7)
    | c1_1(a7) ),
    inference(instantiation,[status(thm)],[c_18679]) ).

cnf(c_19207,plain,
    ( ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ sP6_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18678]) ).

cnf(c_19208,plain,
    ( ~ c3_1(a7)
    | ~ c0_1(a7)
    | ~ sP5_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_19213,plain,
    ( ~ c2_1(a31)
    | ~ c1_1(a31)
    | ~ sP9_iProver_split
    | c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_18682]) ).

cnf(c_19250,plain,
    ( ~ c1_1(a16)
    | ~ c0_1(a16)
    | ~ sP3_iProver_split
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_18674]) ).

cnf(c_19255,plain,
    ( ~ sP16_iProver_split
    | c3_1(a31)
    | c2_1(a31)
    | c0_1(a31) ),
    inference(instantiation,[status(thm)],[c_18692]) ).

cnf(c_19260,plain,
    ( ~ sP16_iProver_split
    | c3_1(a13)
    | c2_1(a13)
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_18692]) ).

cnf(c_19264,plain,
    ( ~ c3_1(a25)
    | ~ c1_1(a25)
    | ~ c0_1(a25)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_19268,plain,
    ( ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ c0_1(a7)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_19269,plain,
    ( ~ c3_1(a3)
    | ~ c1_1(a3)
    | ~ c0_1(a3)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_19275,plain,
    ( ~ sP17_iProver_split
    | c3_1(a13)
    | c1_1(a13)
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_18694]) ).

cnf(c_19286,plain,
    ( ~ c2_1(a54)
    | ~ c1_1(a54)
    | ~ c0_1(a54)
    | ~ sP25_iProver_split ),
    inference(instantiation,[status(thm)],[c_18708]) ).

cnf(c_19411,plain,
    ( ~ c2_1(a13)
    | ~ sP29_iProver_split
    | c1_1(a13)
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_18726]) ).

cnf(c_19412,plain,
    ( ~ c2_1(a13)
    | ~ sP24_iProver_split
    | c3_1(a13)
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

cnf(c_19568,plain,
    ( ~ c1_1(a7)
    | ~ c0_1(a7)
    | ~ sP4_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_18675]) ).

cnf(c_19592,plain,
    ( ~ c2_1(a20)
    | ~ c0_1(a20)
    | ~ sP15_iProver_split
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_18691]) ).

cnf(c_19596,plain,
    ( ~ c2_1(a13)
    | ~ c0_1(a13)
    | ~ sP15_iProver_split
    | c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_18691]) ).

cnf(c_19620,plain,
    ( ~ c3_1(a28)
    | ~ sP19_iProver_split
    | c1_1(a28)
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_18697]) ).

cnf(c_19672,plain,
    ( ~ c0_1(a11)
    | ~ sP18_iProver_split
    | c2_1(a11)
    | c1_1(a11) ),
    inference(instantiation,[status(thm)],[c_18696]) ).

cnf(c_19718,plain,
    ( ~ c3_1(a14)
    | ~ c1_1(a14)
    | ~ sP6_iProver_split
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_18678]) ).

cnf(c_19743,plain,
    ( ~ c3_1(a11)
    | ~ c0_1(a11)
    | ~ sP5_iProver_split
    | c2_1(a11) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_19748,plain,
    ( ~ c3_1(a45)
    | ~ sP19_iProver_split
    | c1_1(a45)
    | c0_1(a45) ),
    inference(instantiation,[status(thm)],[c_18697]) ).

cnf(c_19752,plain,
    ( ~ c3_1(a45)
    | ~ sP11_iProver_split
    | c2_1(a45)
    | c0_1(a45) ),
    inference(instantiation,[status(thm)],[c_18685]) ).

cnf(c_19754,plain,
    ( ~ c3_1(a45)
    | ~ c0_1(a45)
    | ~ sP5_iProver_split
    | c2_1(a45) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_19784,plain,
    ( ~ c0_1(a11)
    | ~ sP12_iProver_split
    | c3_1(a11)
    | c2_1(a11) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

cnf(c_19930,plain,
    ( ~ c0_1(a7)
    | ~ sP18_iProver_split
    | c2_1(a7)
    | c1_1(a7) ),
    inference(instantiation,[status(thm)],[c_18696]) ).

cnf(c_19955,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19930,c_19784,c_19748,c_19752,c_19754,c_19743,c_19718,c_19672,c_19620,c_19596,c_19592,c_19568,c_19411,c_19412,c_19286,c_19275,c_19269,c_19268,c_19264,c_19260,c_19255,c_19250,c_19213,c_19201,c_19203,c_19207,c_19208,c_19193,c_19134,c_19112,c_19109,c_19088,c_19086,c_19085,c_19077,c_19079,c_19082,c_19083,c_19074,c_18987,c_18986,c_18969,c_18963,c_18962,c_18943,c_18937,c_18935,c_18931,c_18897,c_18890,c_18888,c_18884,c_18881,c_18880,c_18879,c_18869,c_18868,c_18866,c_18864,c_18858,c_18857,c_18856,c_18845,c_18842,c_18840,c_18833,c_18830,c_18827,c_18825,c_18816,c_18796,c_18772,c_18769,c_18766,c_18761,c_18760,c_18759,c_18756,c_18751,c_18750,c_18748,c_18747,c_18746,c_18744,c_18742,c_18737,c_18736,c_18735,c_18734,c_18733,c_18732,c_18731,c_18730,c_18727,c_18723,c_18720,c_18718,c_18712,c_18707,c_18706,c_18703,c_18702,c_18698,c_18695,c_18693,c_18683,c_18681,c_18677,c_18673,c_8407,c_8387,c_8367,c_7891,c_7881,c_7871,c_6619,c_6609,c_6599,c_5005,c_4995,c_4985,c_4438,c_4428,c_4418,c_4015,c_4005,c_3995,c_490,c_149,c_150,c_153,c_154,c_157,c_158,c_161,c_169,c_177,c_178,c_185,c_193,c_197,c_201,c_202,c_213,c_221,c_222,c_225,c_226,c_227,c_229,c_230,c_237,c_241,c_245,c_246,c_247,c_249,c_129,c_130,c_131,c_137,c_138,c_139,c_141,c_142,c_143,c_151,c_155,c_159,c_162,c_163,c_170,c_171,c_179,c_186,c_187,c_194,c_195,c_198,c_199,c_203,c_214,c_215,c_223,c_231,c_238,c_239,c_242,c_243,c_250,c_251]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN498+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 20:31:15 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.70/1.14  % SZS status Started for theBenchmark.p
% 3.70/1.14  % SZS status Theorem for theBenchmark.p
% 3.70/1.14  
% 3.70/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.70/1.14  
% 3.70/1.14  ------  iProver source info
% 3.70/1.14  
% 3.70/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.70/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.70/1.14  git: non_committed_changes: false
% 3.70/1.14  git: last_make_outside_of_git: false
% 3.70/1.14  
% 3.70/1.14  ------ Parsing...
% 3.70/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.70/1.14  
% 3.70/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.70/1.14   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.70/1.14  ------ Proving...
% 3.70/1.14  ------ Problem Properties 
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  clauses                                 204
% 3.70/1.14  conjectures                             201
% 3.70/1.14  EPR                                     204
% 3.70/1.14  Horn                                    107
% 3.70/1.14  unary                                   0
% 3.70/1.14  binary                                  90
% 3.70/1.14  lits                                    554
% 3.70/1.14  lits eq                                 0
% 3.70/1.14  fd_pure                                 0
% 3.70/1.14  fd_pseudo                               0
% 3.70/1.14  fd_cond                                 0
% 3.70/1.14  fd_pseudo_cond                          0
% 3.70/1.14  AC symbols                              0
% 3.70/1.14  
% 3.70/1.14  ------ Schedule EPR non Horn non eq is on
% 3.70/1.14  
% 3.70/1.14  ------ no equalities: superposition off 
% 3.70/1.14  
% 3.70/1.14  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  ------ 
% 3.70/1.14  Current options:
% 3.70/1.14  ------ 
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  ------ Proving...
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  % SZS status Theorem for theBenchmark.p
% 3.70/1.14  
% 3.70/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.15  
% 3.70/1.15  
%------------------------------------------------------------------------------