TSTP Solution File: SYN475+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN475+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 03:07:39 EDT 2023

% Result   : Theorem 1.06s 1.17s
% Output   : CNFRefutation 1.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f221)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp25
        | hskp24 )
      & ( hskp7
        | hskp21
        | hskp4 )
      & ( hskp12
        | hskp14
        | hskp22 )
      & ( hskp26
        | hskp7
        | hskp27 )
      & ( hskp14
        | hskp6
        | hskp27 )
      & ( hskp20
        | hskp18
        | hskp23 )
      & ( hskp26
        | hskp3
        | hskp29 )
      & ( hskp5
        | hskp12
        | hskp29 )
      & ( hskp13
        | hskp23
        | hskp29 )
      & ( hskp19
        | hskp26
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp3
        | hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp7
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp12
        | hskp9
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp4
        | hskp23
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp17
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp19
        | hskp4
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp22
        | hskp6
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c1_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp3
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp13
        | hskp6
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp26
        | hskp8
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp25
        | hskp3
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp15
        | hskp24
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp23
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp22
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp6
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp21
        | hskp29
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp10
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp19
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp18
        | hskp10
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp8
        | hskp28
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp17
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp12
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp13
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp15
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp8
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp1
        | hskp2
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp11
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | hskp6
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp6
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp7
        | hskp8
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp8
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp4
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp7
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp0
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c3_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) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c0_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c3_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1040)
          & c1_1(a1040)
          & c0_1(a1040)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a1033)
          & c1_1(a1033)
          & c0_1(a1033)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1029)
          & c2_1(a1029)
          & c0_1(a1029)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1052)
          & ~ c0_1(a1052)
          & c3_1(a1052)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a1048)
          & ~ c0_1(a1048)
          & c1_1(a1048)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a1045)
          & c3_1(a1045)
          & c1_1(a1045)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1044)
          & c1_1(a1044)
          & c0_1(a1044)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a1043)
          & ~ c1_1(a1043)
          & c0_1(a1043)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a1041)
          & ~ c0_1(a1041)
          & c2_1(a1041)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1038)
          & ~ c1_1(a1038)
          & ~ c0_1(a1038)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1037)
          & ~ c1_1(a1037)
          & ~ c0_1(a1037)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1036)
          & c3_1(a1036)
          & c1_1(a1036)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1032)
          & c3_1(a1032)
          & c2_1(a1032)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1030)
          & ~ c2_1(a1030)
          & c1_1(a1030)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a1026)
          & ~ c0_1(a1026)
          & c2_1(a1026)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1025)
          & ~ c2_1(a1025)
          & c0_1(a1025)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a1023)
          & ~ c1_1(a1023)
          & c3_1(a1023)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1019)
          & c2_1(a1019)
          & c1_1(a1019)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1015)
          & ~ c0_1(a1015)
          & c3_1(a1015)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a1012)
          & ~ c1_1(a1012)
          & c0_1(a1012)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a1011)
          & c1_1(a1011)
          & c0_1(a1011)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1010)
          & c3_1(a1010)
          & c0_1(a1010)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1008)
          & ~ c1_1(a1008)
          & c2_1(a1008)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1006)
          & c3_1(a1006)
          & c0_1(a1006)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1005)
          & ~ c2_1(a1005)
          & ~ c1_1(a1005)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1004)
          & c2_1(a1004)
          & c1_1(a1004)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1003)
          & ~ c0_1(a1003)
          & c1_1(a1003)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a1002)
          & c2_1(a1002)
          & c0_1(a1002)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a1001)
          & c3_1(a1001)
          & c2_1(a1001)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1000)
          & c2_1(a1000)
          & c0_1(a1000)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp25
          | hskp24 )
        & ( hskp7
          | hskp21
          | hskp4 )
        & ( hskp12
          | hskp14
          | hskp22 )
        & ( hskp26
          | hskp7
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp27 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp26
          | hskp3
          | hskp29 )
        & ( hskp5
          | hskp12
          | hskp29 )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp19
          | hskp26
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp3
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp7
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp12
          | hskp9
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp4
          | hskp23
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp17
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp19
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp22
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp3
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp13
          | hskp6
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp26
          | hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp25
          | hskp3
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp15
          | hskp24
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp23
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp22
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp6
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp21
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp10
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp19
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp18
          | hskp10
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp8
          | hskp28
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp17
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp13
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp15
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp1
          | hskp2
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp11
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | hskp6
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp6
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp7
          | hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp8
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp4
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp7
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp0
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c3_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) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1040)
            & c1_1(a1040)
            & c0_1(a1040)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1029)
            & c2_1(a1029)
            & c0_1(a1029)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1052)
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1048)
            & ~ c0_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a1045)
            & c3_1(a1045)
            & c1_1(a1045)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1044)
            & c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1043)
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1041)
            & ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1037)
            & ~ c1_1(a1037)
            & ~ c0_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1036)
            & c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1032)
            & c3_1(a1032)
            & c2_1(a1032)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & c1_1(a1030)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1026)
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1023)
            & ~ c1_1(a1023)
            & c3_1(a1023)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1019)
            & c2_1(a1019)
            & c1_1(a1019)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1012)
            & ~ c1_1(a1012)
            & c0_1(a1012)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1011)
            & c1_1(a1011)
            & c0_1(a1011)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1010)
            & c3_1(a1010)
            & c0_1(a1010)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1005)
            & ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1004)
            & c2_1(a1004)
            & c1_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1003)
            & ~ c0_1(a1003)
            & c1_1(a1003)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a1002)
            & c2_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1001)
            & c3_1(a1001)
            & c2_1(a1001)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1000)
            & c2_1(a1000)
            & c0_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp19
          | hskp25
          | hskp24 )
        & ( hskp7
          | hskp21
          | hskp4 )
        & ( hskp12
          | hskp14
          | hskp22 )
        & ( hskp26
          | hskp7
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp27 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp26
          | hskp3
          | hskp29 )
        & ( hskp5
          | hskp12
          | hskp29 )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp19
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp3
          | hskp24
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp12
          | hskp9
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp23
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp17
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp22
          | hskp6
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp3
          | hskp23
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp13
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp26
          | hskp8
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp6
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp25
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp15
          | hskp24
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp23
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp22
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp6
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp21
          | hskp29
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp10
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp20
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp19
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp18
          | hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp8
          | hskp28
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp17
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp27
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp13
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp9
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp15
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp14
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp8
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp1
          | hskp2
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | hskp6
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp6
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp7
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp7
          | hskp8
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp10
          | hskp9
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp4
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp0
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp6
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | c3_1(X96)
                | c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp4
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp3
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp2
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c2_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp1
          | hskp0
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ( c3_1(a1040)
            & c1_1(a1040)
            & c0_1(a1040)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1029)
            & c2_1(a1029)
            & c0_1(a1029)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1052)
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1048)
            & ~ c0_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a1045)
            & c3_1(a1045)
            & c1_1(a1045)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1044)
            & c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1043)
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1041)
            & ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1037)
            & ~ c1_1(a1037)
            & ~ c0_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1036)
            & c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1032)
            & c3_1(a1032)
            & c2_1(a1032)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & c1_1(a1030)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1026)
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1023)
            & ~ c1_1(a1023)
            & c3_1(a1023)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1019)
            & c2_1(a1019)
            & c1_1(a1019)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1012)
            & ~ c1_1(a1012)
            & c0_1(a1012)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1011)
            & c1_1(a1011)
            & c0_1(a1011)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1010)
            & c3_1(a1010)
            & c0_1(a1010)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1005)
            & ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1004)
            & c2_1(a1004)
            & c1_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1003)
            & ~ c0_1(a1003)
            & c1_1(a1003)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a1002)
            & c2_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1001)
            & c3_1(a1001)
            & c2_1(a1001)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1000)
            & c2_1(a1000)
            & c0_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp17
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp6
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp23
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp22
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp6
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp10
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp20
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp19
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp17
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp12
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp27
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp13
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp9
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp15
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c0_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp14
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp8
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp13
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp6
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp7
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp8
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp4
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp7
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c2_1(X86)
            | c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp0
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp6
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | c3_1(X96)
            | c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c1_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c2_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp4
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp3
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c3_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c0_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp2
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c2_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c3_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp23
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp4
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp6
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp23
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp8
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp3
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp24
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp10
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp6
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X82] :
          ( ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X84] :
          ( ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c1_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c3_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X110] :
          ( c3_1(X110)
          | c2_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp0
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c1_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c1_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f24,plain,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c1_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c2_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c2_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c3_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c1_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c2_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c0_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c1_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c2_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c2_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c3_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c0_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c1_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c0_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( ~ c0_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c1_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( ~ c0_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c1_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c2_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c2_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c0_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f112,plain,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c0_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c2_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c2_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ! [X112] :
      ( hskp1
      | hskp0
      | c2_1(X112)
      | c1_1(X112)
      | c0_1(X112)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f143,plain,
    ! [X80] :
      ( hskp7
      | hskp8
      | ~ c1_1(X80)
      | c2_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f149,plain,
    ! [X67] :
      ( hskp12
      | hskp6
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f152,plain,
    ! [X61] :
      ( hskp1
      | hskp2
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f164,plain,
    ! [X37] :
      ( hskp8
      | hskp28
      | ~ c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ! [X20] :
      ( hskp15
      | hskp24
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X11] :
      ( hskp26
      | hskp8
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X10] :
      ( hskp13
      | hskp6
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ! [X8] :
      ( hskp22
      | hskp6
      | ~ c3_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ! [X7] :
      ( hskp19
      | hskp4
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    ! [X3] :
      ( hskp12
      | hskp9
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f187,plain,
    ! [X2] :
      ( hskp7
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f189,plain,
    ! [X0] :
      ( hskp19
      | hskp26
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ( hskp26
    | hskp3
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f194,plain,
    ( hskp14
    | hskp6
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f195,plain,
    ( hskp26
    | hskp7
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ( hskp12
    | hskp14
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_51,negated_conjecture,
    ( hskp12
    | hskp14
    | hskp22 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_52,negated_conjecture,
    ( hskp7
    | hskp26
    | hskp27 ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_53,negated_conjecture,
    ( hskp14
    | hskp27
    | hskp6 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_55,negated_conjecture,
    ( hskp26
    | hskp3
    | hskp29 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp19
    | hskp26 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_60,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp7 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_61,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp12
    | hskp9 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_63,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp17 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_64,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp19
    | hskp4 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_65,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp22
    | hskp6 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_67,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp6
    | hskp13 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_68,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp26
    | hskp8 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_70,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp24
    | hskp15 ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_77,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_79,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_80,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_81,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp8
    | hskp28 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_84,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp17 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_87,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_88,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_91,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_95,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_97,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_104,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp8 ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_106,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_109,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f230]) ).

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

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_115,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_117,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_118,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_119,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_120,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp29
    | ndr1_0 ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1033) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1033) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1033) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1029) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1029) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1029) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_133,negated_conjecture,
    ( ~ c2_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_134,negated_conjecture,
    ( ~ c0_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1052) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_141,negated_conjecture,
    ( ~ c0_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1045) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp24
    | c1_1(a1045) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1043) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_159,negated_conjecture,
    ( ~ c0_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_163,negated_conjecture,
    ( ~ c0_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_169,negated_conjecture,
    ( ~ c0_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1032) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp17
    | c2_1(a1032) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_178,negated_conjecture,
    ( ~ c0_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1026) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp14
    | c0_1(a1025) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_186,negated_conjecture,
    ( ~ c1_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1023) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_189,negated_conjecture,
    ( ~ c0_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_190,negated_conjecture,
    ( ~ hskp12
    | c2_1(a1019) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1019) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_201,negated_conjecture,
    ( ~ c2_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp9
    | c1_1(a1011) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp9
    | c0_1(a1011) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1010) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1010) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_210,negated_conjecture,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp7
    | c2_1(a1008) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_213,negated_conjecture,
    ( ~ c2_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp6
    | c3_1(a1006) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1006) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_218,negated_conjecture,
    ( ~ c2_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_219,negated_conjecture,
    ( ~ c1_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_221,negated_conjecture,
    ( ~ c3_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp4
    | c2_1(a1004) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp4
    | c1_1(a1004) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_228,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_229,negated_conjecture,
    ( ~ c1_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_230,negated_conjecture,
    ( ~ hskp2
    | c2_1(a1002) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp2
    | c0_1(a1002) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_233,negated_conjecture,
    ( ~ c1_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_234,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1001) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1001) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_238,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1000) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1000) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_240,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_244,plain,
    ( ~ c1_1(a1000)
    | ~ ndr1_0
    | c3_1(a1000)
    | c0_1(a1000)
    | hskp12
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_98]) ).

cnf(c_252,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | ~ ndr1_0
    | c2_1(a1000)
    | hskp26
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_262,plain,
    ( ~ ndr1_0
    | c3_1(a1000)
    | c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000)
    | hskp2 ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_266,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ ndr1_0
    | c1_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_268,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c1_1(a1000)
    | ~ ndr1_0
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_269,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_240,c_228,c_136,c_124,c_55]) ).

cnf(c_329,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_228,c_136,c_124,c_55,c_119]) ).

cnf(c_335,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_228,c_136,c_124,c_55,c_104]) ).

cnf(c_341,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_228,c_136,c_124,c_55,c_95]) ).

cnf(c_344,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp8
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_228,c_136,c_124,c_55,c_83]) ).

cnf(c_359,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_228,c_136,c_124,c_55,c_73]) ).

cnf(c_360,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp15 ),
    inference(renaming,[status(thm)],[c_359]) ).

cnf(c_362,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp26
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_228,c_136,c_124,c_55,c_68]) ).

cnf(c_363,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp26
    | hskp8 ),
    inference(renaming,[status(thm)],[c_362]) ).

cnf(c_364,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp26
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_365,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_228,c_136,c_124,c_55,c_67]) ).

cnf(c_366,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp13 ),
    inference(renaming,[status(thm)],[c_365]) ).

cnf(c_371,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_228,c_136,c_124,c_55,c_65]) ).

cnf(c_372,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp6 ),
    inference(renaming,[status(thm)],[c_371]) ).

cnf(c_374,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp19
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_228,c_136,c_124,c_55,c_64]) ).

cnf(c_375,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp19
    | hskp4 ),
    inference(renaming,[status(thm)],[c_374]) ).

cnf(c_376,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1000)
    | hskp19
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_375]) ).

cnf(c_380,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_228,c_136,c_124,c_55,c_60]) ).

cnf(c_381,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_380]) ).

cnf(c_383,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | hskp12
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_228,c_136,c_124,c_55,c_61]) ).

cnf(c_384,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | hskp12
    | hskp9 ),
    inference(renaming,[status(thm)],[c_383]) ).

cnf(c_389,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp19
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_228,c_136,c_124,c_55,c_58]) ).

cnf(c_390,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp19
    | hskp26 ),
    inference(renaming,[status(thm)],[c_389]) ).

cnf(c_392,negated_conjecture,
    ( c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_228,c_136,c_124,c_55,c_118]) ).

cnf(c_395,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_228,c_136,c_124,c_55,c_88]) ).

cnf(c_408,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_228,c_136,c_124,c_55,c_106]) ).

cnf(c_409,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_408]) ).

cnf(c_412,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_228,c_136,c_124,c_55,c_87]) ).

cnf(c_413,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_414,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_228,c_136,c_124,c_55,c_85]) ).

cnf(c_415,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_228,c_136,c_124,c_55,c_84]) ).

cnf(c_417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_418,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_228,c_136,c_124,c_55,c_80]) ).

cnf(c_419,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_421,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_228,c_136,c_124,c_55,c_115]) ).

cnf(c_422,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_421]) ).

cnf(c_423,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_228,c_136,c_124,c_55,c_109]) ).

cnf(c_424,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_431,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_228,c_136,c_124,c_55,c_89]) ).

cnf(c_432,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_433,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_228,c_136,c_124,c_55,c_81]) ).

cnf(c_434,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c1_1(a1000)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_436,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_228,c_136,c_124,c_55,c_79]) ).

cnf(c_437,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_440,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_228,c_136,c_124,c_55,c_70]) ).

cnf(c_441,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_442,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_228,c_136,c_124,c_55,c_113]) ).

cnf(c_443,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c1_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_444,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_228,c_136,c_124,c_55,c_99]) ).

cnf(c_445,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_446,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_228,c_136,c_124,c_55,c_93]) ).

cnf(c_447,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_446]) ).

cnf(c_448,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_228,c_136,c_124,c_55,c_92]) ).

cnf(c_449,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_450,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_228,c_136,c_124,c_55,c_90]) ).

cnf(c_451,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_452,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_228,c_136,c_124,c_55,c_77]) ).

cnf(c_453,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_452]) ).

cnf(c_455,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_228,c_136,c_124,c_55,c_69]) ).

cnf(c_456,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_457,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_228,c_136,c_124,c_55,c_63]) ).

cnf(c_458,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_460,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_228,c_136,c_124,c_55,c_112]) ).

cnf(c_462,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_228,c_136,c_124,c_55,c_120]) ).

cnf(c_463,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_462]) ).

cnf(c_466,plain,
    ( ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_228,c_136,c_124,c_55,c_114]) ).

cnf(c_467,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_468,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_97,c_269]) ).

cnf(c_469,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

cnf(c_470,plain,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_228,c_136,c_124,c_55,c_117]) ).

cnf(c_471,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_472,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_228,c_136,c_124,c_55,c_102]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    ( ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_228,c_136,c_124,c_55,c_100]) ).

cnf(c_475,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_476,plain,
    ( ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_228,c_136,c_124,c_55,c_72]) ).

cnf(c_477,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_476]) ).

cnf(c_478,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_228,c_136,c_124,c_55,c_91]) ).

cnf(c_479,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_478]) ).

cnf(c_480,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c1_1(a1000)
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_479]) ).

cnf(c_481,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_228,c_136,c_124,c_55,c_75]) ).

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

cnf(c_2205,plain,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(a1038)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_419,c_159]) ).

cnf(c_2206,plain,
    ( ~ c0_1(a1038)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_2205]) ).

cnf(c_2228,plain,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(a1038)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_419,c_158]) ).

cnf(c_2229,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1038)
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_2228]) ).

cnf(c_2251,plain,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(a1038)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_419,c_157]) ).

cnf(c_2252,plain,
    ( ~ c2_1(a1038)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_2251]) ).

cnf(c_2460,plain,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(a1001)
    | hskp2 ),
    inference(resolution,[status(thm)],[c_341,c_235]) ).

cnf(c_2461,plain,
    ( ~ c2_1(a1000)
    | c3_1(a1000)
    | c2_1(a1001)
    | c0_1(a1000)
    | hskp2 ),
    inference(instantiation,[status(thm)],[c_2460]) ).

cnf(c_2477,plain,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | c3_1(a1001)
    | hskp2 ),
    inference(resolution,[status(thm)],[c_341,c_234]) ).

cnf(c_2478,plain,
    ( ~ c2_1(a1000)
    | c3_1(a1001)
    | c3_1(a1000)
    | c0_1(a1000)
    | hskp2 ),
    inference(instantiation,[status(thm)],[c_2477]) ).

cnf(c_2494,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(a1001)
    | c3_1(X0)
    | c0_1(X0)
    | hskp2 ),
    inference(resolution,[status(thm)],[c_341,c_233]) ).

cnf(c_2495,plain,
    ( ~ c2_1(a1000)
    | ~ c1_1(a1001)
    | c3_1(a1000)
    | c0_1(a1000)
    | hskp2 ),
    inference(instantiation,[status(thm)],[c_2494]) ).

cnf(c_2511,plain,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(a1001)
    | hskp0 ),
    inference(resolution,[status(thm)],[c_329,c_235]) ).

cnf(c_2512,plain,
    ( c2_1(a1001)
    | c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_2511]) ).

cnf(c_2528,plain,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | c3_1(a1001)
    | hskp0 ),
    inference(resolution,[status(thm)],[c_329,c_234]) ).

cnf(c_2529,plain,
    ( c3_1(a1001)
    | c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_2528]) ).

cnf(c_2545,plain,
    ( ~ c1_1(a1001)
    | c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp0 ),
    inference(resolution,[status(thm)],[c_329,c_233]) ).

cnf(c_2546,plain,
    ( ~ c1_1(a1001)
    | c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_2545]) ).

cnf(c_2814,plain,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | c0_1(a1000)
    | hskp1 ),
    inference(resolution,[status(thm)],[c_329,c_239]) ).

cnf(c_2815,plain,
    ( c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000)
    | hskp1 ),
    inference(instantiation,[status(thm)],[c_2814]) ).

cnf(c_3137,plain,
    ( c0_1(a1025)
    | hskp27
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_183]) ).

cnf(c_3147,plain,
    ( ~ c2_1(a1025)
    | hskp27
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_182]) ).

cnf(c_3157,plain,
    ( ~ c3_1(a1025)
    | hskp27
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_181]) ).

cnf(c_3302,plain,
    ( c0_1(a1029)
    | hskp14
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_131]) ).

cnf(c_3312,plain,
    ( c2_1(a1029)
    | hskp14
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_130]) ).

cnf(c_3322,plain,
    ( c3_1(a1029)
    | hskp14
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_129]) ).

cnf(c_3584,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(a1032) ),
    inference(resolution,[status(thm)],[c_458,c_171]) ).

cnf(c_3585,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1000)
    | c2_1(a1032) ),
    inference(instantiation,[status(thm)],[c_3584]) ).

cnf(c_3607,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(a1032) ),
    inference(resolution,[status(thm)],[c_458,c_170]) ).

cnf(c_3608,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1032)
    | c3_1(a1000) ),
    inference(instantiation,[status(thm)],[c_3607]) ).

cnf(c_3630,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(a1032)
    | c3_1(X1) ),
    inference(resolution,[status(thm)],[c_458,c_169]) ).

cnf(c_3631,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1032)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1000) ),
    inference(instantiation,[status(thm)],[c_3630]) ).

cnf(c_4001,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(a1043)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_372,c_151]) ).

cnf(c_4002,plain,
    ( ~ c3_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | c0_1(a1043)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_4001]) ).

cnf(c_4018,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a1043)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_372,c_150]) ).

cnf(c_4019,plain,
    ( ~ c3_1(a1000)
    | ~ c1_1(a1043)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_4018]) ).

cnf(c_4035,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a1043)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_372,c_149]) ).

cnf(c_4036,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1043)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_4035]) ).

cnf(c_4052,plain,
    ( c0_1(a1043)
    | hskp12
    | hskp14 ),
    inference(resolution,[status(thm)],[c_51,c_151]) ).

cnf(c_4062,plain,
    ( ~ c1_1(a1043)
    | hskp12
    | hskp14 ),
    inference(resolution,[status(thm)],[c_51,c_150]) ).

cnf(c_4072,plain,
    ( ~ c2_1(a1043)
    | hskp12
    | hskp14 ),
    inference(resolution,[status(thm)],[c_51,c_149]) ).

cnf(c_4127,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(a1052)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_390,c_135]) ).

cnf(c_4128,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | c3_1(a1052)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_4127]) ).

cnf(c_4144,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(a1052)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_390,c_134]) ).

cnf(c_4145,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c0_1(a1052)
    | ~ c0_1(a1000)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_4144]) ).

cnf(c_4161,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(a1052)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_390,c_133]) ).

cnf(c_4162,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1052)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_4161]) ).

cnf(c_4178,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(a1052)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_363,c_135]) ).

cnf(c_4179,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1052)
    | c2_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_4178]) ).

cnf(c_4195,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(a1052)
    | c2_1(X0)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_363,c_134]) ).

cnf(c_4196,plain,
    ( ~ c0_1(a1052)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_4195]) ).

cnf(c_4212,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a1052)
    | c2_1(X0)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_363,c_133]) ).

cnf(c_4213,plain,
    ( ~ c2_1(a1052)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_4212]) ).

cnf(c_5015,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(a1037)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(resolution,[status(thm)],[c_434,c_163]) ).

cnf(c_5016,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1037)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_5015]) ).

cnf(c_5038,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(a1037)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(resolution,[status(thm)],[c_434,c_162]) ).

cnf(c_5039,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1037)
    | c3_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_5038]) ).

cnf(c_5061,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(a1037)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(resolution,[status(thm)],[c_434,c_161]) ).

cnf(c_5062,plain,
    ( ~ c3_1(a1037)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_5061]) ).

cnf(c_5135,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(a1037)
    | c3_1(X0)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_375,c_163]) ).

cnf(c_5136,plain,
    ( ~ c0_1(a1037)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1000)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_5135]) ).

cnf(c_5152,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a1037)
    | c3_1(X0)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_375,c_162]) ).

cnf(c_5153,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1037)
    | ~ c1_1(a1000)
    | c3_1(a1000)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_5152]) ).

cnf(c_5606,plain,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(a1023) ),
    inference(resolution,[status(thm)],[c_395,c_187]) ).

cnf(c_5607,plain,
    ( ~ c0_1(a1000)
    | c3_1(a1023)
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_5606]) ).

cnf(c_5652,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(a1023)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(resolution,[status(thm)],[c_395,c_185]) ).

cnf(c_5653,plain,
    ( ~ c2_1(a1023)
    | ~ c0_1(a1000)
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_5652]) ).

cnf(c_5675,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(a1023)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_366,c_187]) ).

cnf(c_5676,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c3_1(a1023)
    | c2_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_5675]) ).

cnf(c_5692,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a1023)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_366,c_186]) ).

cnf(c_5693,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1023)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_5692]) ).

cnf(c_5709,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a1023)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_366,c_185]) ).

cnf(c_5710,plain,
    ( ~ c2_1(a1023)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_5709]) ).

cnf(c_5888,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c1_1(a1019)
    | hskp9 ),
    inference(resolution,[status(thm)],[c_384,c_191]) ).

cnf(c_5889,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c1_1(a1019)
    | hskp9 ),
    inference(instantiation,[status(thm)],[c_5888]) ).

cnf(c_5905,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(a1019)
    | hskp9 ),
    inference(resolution,[status(thm)],[c_384,c_190]) ).

cnf(c_5906,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1019)
    | hskp9 ),
    inference(instantiation,[status(thm)],[c_5905]) ).

cnf(c_5922,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(a1019)
    | hskp9 ),
    inference(resolution,[status(thm)],[c_384,c_189]) ).

cnf(c_5923,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1019)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | hskp9 ),
    inference(instantiation,[status(thm)],[c_5922]) ).

cnf(c_6920,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(a1008) ),
    inference(resolution,[status(thm)],[c_381,c_211]) ).

cnf(c_6921,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | c2_1(a1008) ),
    inference(instantiation,[status(thm)],[c_6920]) ).

cnf(c_6934,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a1008) ),
    inference(resolution,[status(thm)],[c_381,c_210]) ).

cnf(c_6935,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1008)
    | ~ c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_6934]) ).

cnf(c_6948,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(a1008) ),
    inference(resolution,[status(thm)],[c_381,c_209]) ).

cnf(c_6949,plain,
    ( ~ c3_1(a1008)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_6948]) ).

cnf(c_6962,plain,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | c2_1(a1008)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_335,c_211]) ).

cnf(c_6963,plain,
    ( ~ c1_1(a1000)
    | c2_1(a1008)
    | c2_1(a1000)
    | c0_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_6962]) ).

cnf(c_6979,plain,
    ( ~ c1_1(X0)
    | ~ c1_1(a1008)
    | c2_1(X0)
    | c0_1(X0)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_335,c_210]) ).

cnf(c_6980,plain,
    ( ~ c1_1(a1008)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | c0_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_6979]) ).

cnf(c_6996,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(a1008)
    | c2_1(X0)
    | c0_1(X0)
    | hskp8 ),
    inference(resolution,[status(thm)],[c_335,c_209]) ).

cnf(c_6997,plain,
    ( ~ c3_1(a1008)
    | ~ c1_1(a1000)
    | c2_1(a1000)
    | c0_1(a1000)
    | hskp8 ),
    inference(instantiation,[status(thm)],[c_6996]) ).

cnf(c_7013,plain,
    ( c2_1(a1008)
    | hskp26
    | hskp27 ),
    inference(resolution,[status(thm)],[c_52,c_211]) ).

cnf(c_7023,plain,
    ( ~ c1_1(a1008)
    | hskp26
    | hskp27 ),
    inference(resolution,[status(thm)],[c_52,c_210]) ).

cnf(c_7033,plain,
    ( ~ c3_1(a1008)
    | hskp26
    | hskp27 ),
    inference(resolution,[status(thm)],[c_52,c_209]) ).

cnf(c_15618,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_482]) ).

cnf(c_15619,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_482]) ).

cnf(c_15620,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_482]) ).

cnf(c_15622,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_479]) ).

cnf(c_15623,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_479]) ).

cnf(c_15624,negated_conjecture,
    ( sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

cnf(c_15625,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_477]) ).

cnf(c_15626,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_477]) ).

cnf(c_15627,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_477]) ).

cnf(c_15628,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

cnf(c_15629,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_475]) ).

cnf(c_15630,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_475]) ).

cnf(c_15632,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_473]) ).

cnf(c_15634,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_471]) ).

cnf(c_15635,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_471]) ).

cnf(c_15636,negated_conjecture,
    ( sP0_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_15637,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_469]) ).

cnf(c_15638,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_469]) ).

cnf(c_15639,negated_conjecture,
    ( sP12_iProver_split
    | sP13_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

cnf(c_15640,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_467]) ).

cnf(c_15641,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_467]) ).

cnf(c_15642,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_467]) ).

cnf(c_15643,negated_conjecture,
    ( sP15_iProver_split
    | sP16_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_15646,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_463]) ).

cnf(c_15647,negated_conjecture,
    ( sP11_iProver_split
    | sP17_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

cnf(c_15648,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_460]) ).

cnf(c_15650,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_458]) ).

cnf(c_15651,negated_conjecture,
    ( hskp17
    | sP8_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_15652,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_456]) ).

cnf(c_15653,negated_conjecture,
    ( hskp6
    | sP0_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

cnf(c_15654,negated_conjecture,
    ( hskp6
    | sP6_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

cnf(c_15655,negated_conjecture,
    ( hskp15
    | sP1_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_15656,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_449]) ).

cnf(c_15657,negated_conjecture,
    ( hskp14
    | sP7_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_15658,negated_conjecture,
    ( hskp8
    | sP6_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

cnf(c_15659,negated_conjecture,
    ( hskp6
    | sP9_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_15660,negated_conjecture,
    ( hskp5
    | sP15_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_15661,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_441]) ).

cnf(c_15664,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_437]) ).

cnf(c_15667,negated_conjecture,
    ( hskp9
    | sP3_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_15671,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_424]) ).

cnf(c_15672,negated_conjecture,
    ( hskp0
    | sP23_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_15673,negated_conjecture,
    ( hskp4
    | sP7_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_15675,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_417]) ).

cnf(c_15676,negated_conjecture,
    ( hskp17
    | sP20_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_15677,negated_conjecture,
    ( hskp12
    | sP7_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_15678,negated_conjecture,
    ( hskp27
    | sP12_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

cnf(c_15680,negated_conjecture,
    ( hskp8
    | sP16_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

cnf(c_15686,negated_conjecture,
    ( hskp13
    | sP20_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_15687,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_392]) ).

cnf(c_15688,negated_conjecture,
    ( hskp2
    | sP20_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).

cnf(c_15691,negated_conjecture,
    ( hskp12
    | hskp9
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

cnf(c_15693,negated_conjecture,
    ( hskp19
    | hskp4
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_15698,negated_conjecture,
    ( hskp26
    | hskp8
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

cnf(c_15699,negated_conjecture,
    ( hskp24
    | hskp15
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

cnf(c_15703,negated_conjecture,
    ( hskp8
    | hskp28
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_15704,negated_conjecture,
    ( hskp1
    | hskp2
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_341]) ).

cnf(c_15706,negated_conjecture,
    ( hskp7
    | hskp8
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_335]) ).

cnf(c_15708,negated_conjecture,
    ( hskp1
    | hskp0
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_329]) ).

cnf(c_15710,plain,
    ( ~ sP19_iProver_split
    | c2_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15646]) ).

cnf(c_15711,plain,
    ( ~ sP20_iProver_split
    | c3_1(a1000)
    | c2_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15648]) ).

cnf(c_15712,plain,
    ( ~ sP28_iProver_split
    | c3_1(a1000)
    | c0_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15687]) ).

cnf(c_15713,plain,
    ( ~ c1_1(a1000)
    | ~ sP9_iProver_split
    | c3_1(a1000)
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15630]) ).

cnf(c_15715,plain,
    ( ~ c2_1(a1000)
    | ~ sP11_iProver_split
    | c0_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15717,plain,
    ( ~ c2_1(a1000)
    | ~ sP14_iProver_split
    | c3_1(a1000)
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15638]) ).

cnf(c_15718,plain,
    ( ~ c3_1(a1000)
    | ~ sP15_iProver_split
    | c0_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

cnf(c_15719,plain,
    ( ~ c2_1(a1000)
    | ~ sP16_iProver_split
    | c3_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15641]) ).

cnf(c_15720,plain,
    ( ~ c3_1(a1000)
    | ~ sP17_iProver_split
    | c2_1(a1000)
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15642]) ).

cnf(c_15722,plain,
    ( ~ c0_1(a1000)
    | ~ sP25_iProver_split
    | c3_1(a1000)
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15664]) ).

cnf(c_15723,plain,
    ( ~ c1_1(a1000)
    | ~ sP26_iProver_split
    | c2_1(a1000)
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15671]) ).

cnf(c_15724,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | ~ sP0_iProver_split
    | c2_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15618]) ).

cnf(c_15725,plain,
    ( ~ c3_1(a1000)
    | ~ c0_1(a1000)
    | ~ sP1_iProver_split
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15619]) ).

cnf(c_15726,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ sP3_iProver_split
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15622]) ).

cnf(c_15728,plain,
    ( ~ c2_1(a1000)
    | ~ c1_1(a1000)
    | ~ sP5_iProver_split
    | c3_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15625]) ).

cnf(c_15729,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ sP6_iProver_split
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_15730,plain,
    ( ~ c3_1(a1000)
    | ~ c0_1(a1000)
    | ~ sP7_iProver_split
    | c2_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15627]) ).

cnf(c_15731,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ sP8_iProver_split
    | c3_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15629]) ).

cnf(c_15732,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ sP12_iProver_split
    | c1_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15733,plain,
    ( ~ c2_1(a1000)
    | ~ c1_1(a1000)
    | ~ sP23_iProver_split
    | c0_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15656]) ).

cnf(c_15734,plain,
    ( ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | ~ sP27_iProver_split
    | c3_1(a1000) ),
    inference(instantiation,[status(thm)],[c_15675]) ).

cnf(c_15737,plain,
    ( ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ c1_1(a1000)
    | ~ sP21_iProver_split ),
    inference(instantiation,[status(thm)],[c_15650]) ).

cnf(c_15738,plain,
    ( ~ c3_1(a1000)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_15652]) ).

cnf(c_15740,plain,
    ( ~ c3_1(a1032)
    | ~ c2_1(a1032)
    | ~ c1_1(a1032)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15620]) ).

cnf(c_15746,plain,
    ( ~ c3_1(a1029)
    | ~ c2_1(a1029)
    | ~ sP6_iProver_split
    | c1_1(a1029) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_15747,plain,
    ( ~ c3_1(a1032)
    | ~ c2_1(a1032)
    | ~ sP6_iProver_split
    | c1_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_15750,plain,
    ( ~ c3_1(a1010)
    | ~ c2_1(a1010)
    | ~ sP6_iProver_split
    | c1_1(a1010) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_15752,plain,
    ( ~ c3_1(a1001)
    | ~ c2_1(a1001)
    | ~ sP6_iProver_split
    | c1_1(a1001) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_15757,plain,
    ( ~ c1_1(a1019)
    | ~ sP9_iProver_split
    | c3_1(a1019)
    | c0_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15630]) ).

cnf(c_15761,plain,
    ( ~ c2_1(a1037)
    | ~ sP11_iProver_split
    | c0_1(a1037)
    | c1_1(a1037) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15762,plain,
    ( ~ c2_1(a1032)
    | ~ sP11_iProver_split
    | c0_1(a1032)
    | c1_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15763,plain,
    ( ~ c2_1(a1026)
    | ~ sP11_iProver_split
    | c0_1(a1026)
    | c1_1(a1026) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15770,plain,
    ( ~ c0_1(a1025)
    | ~ sP13_iProver_split
    | c3_1(a1025)
    | c2_1(a1025) ),
    inference(instantiation,[status(thm)],[c_15637]) ).

cnf(c_15776,plain,
    ( ~ c3_1(a1032)
    | ~ sP15_iProver_split
    | c0_1(a1032)
    | c1_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

cnf(c_15777,plain,
    ( ~ c3_1(a1023)
    | ~ sP15_iProver_split
    | c0_1(a1023)
    | c1_1(a1023) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

cnf(c_15781,plain,
    ( ~ c3_1(a1001)
    | ~ sP15_iProver_split
    | c0_1(a1001)
    | c1_1(a1001) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

cnf(c_15802,plain,
    ( ~ c3_1(a1023)
    | ~ c0_1(a1023)
    | ~ sP7_iProver_split
    | c2_1(a1023) ),
    inference(instantiation,[status(thm)],[c_15627]) ).

cnf(c_15804,plain,
    ( ~ c3_1(a1010)
    | ~ c0_1(a1010)
    | ~ sP7_iProver_split
    | c2_1(a1010) ),
    inference(instantiation,[status(thm)],[c_15627]) ).

cnf(c_15805,plain,
    ( ~ c3_1(a1006)
    | ~ c0_1(a1006)
    | ~ sP7_iProver_split
    | c2_1(a1006) ),
    inference(instantiation,[status(thm)],[c_15627]) ).

cnf(c_15811,plain,
    ( ~ sP20_iProver_split
    | c3_1(a1043)
    | c2_1(a1043)
    | c1_1(a1043) ),
    inference(instantiation,[status(thm)],[c_15648]) ).

cnf(c_15814,plain,
    ( ~ sP20_iProver_split
    | c3_1(a1025)
    | c2_1(a1025)
    | c1_1(a1025) ),
    inference(instantiation,[status(thm)],[c_15648]) ).

cnf(c_15823,plain,
    ( ~ c3_1(a1010)
    | ~ c0_1(a1010)
    | ~ sP1_iProver_split
    | c1_1(a1010) ),
    inference(instantiation,[status(thm)],[c_15619]) ).

cnf(c_15825,plain,
    ( ~ c3_1(a1001)
    | ~ c0_1(a1001)
    | ~ sP1_iProver_split
    | c1_1(a1001) ),
    inference(instantiation,[status(thm)],[c_15619]) ).

cnf(c_15832,plain,
    ( ~ c2_1(a1010)
    | ~ c0_1(a1010)
    | ~ sP12_iProver_split
    | c1_1(a1010) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15833,plain,
    ( ~ c2_1(a1008)
    | ~ c0_1(a1008)
    | ~ sP12_iProver_split
    | c1_1(a1008) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15834,plain,
    ( ~ c2_1(a1002)
    | ~ c0_1(a1002)
    | ~ sP12_iProver_split
    | c1_1(a1002) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15835,plain,
    ( ~ c2_1(a1001)
    | ~ c0_1(a1001)
    | ~ sP12_iProver_split
    | c1_1(a1001) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15836,plain,
    ( ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ sP12_iProver_split
    | c1_1(a1029) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15837,plain,
    ( ~ c2_1(a1032)
    | ~ c0_1(a1032)
    | ~ sP12_iProver_split
    | c1_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15635]) ).

cnf(c_15849,plain,
    ( ~ c3_1(a1023)
    | ~ sP17_iProver_split
    | c2_1(a1023)
    | c0_1(a1023) ),
    inference(instantiation,[status(thm)],[c_15642]) ).

cnf(c_15861,plain,
    ( ~ sP20_iProver_split
    | c3_1(a1005)
    | c2_1(a1005)
    | c1_1(a1005) ),
    inference(instantiation,[status(thm)],[c_15648]) ).

cnf(c_15890,plain,
    ( ~ c2_1(a1008)
    | ~ sP11_iProver_split
    | c0_1(a1008)
    | c1_1(a1008) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15896,plain,
    ( ~ c2_1(a1001)
    | ~ sP11_iProver_split
    | c0_1(a1001)
    | c1_1(a1001) ),
    inference(instantiation,[status(thm)],[c_15634]) ).

cnf(c_15922,plain,
    ( ~ c2_1(a1019)
    | ~ c1_1(a1019)
    | ~ sP5_iProver_split
    | c3_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15625]) ).

cnf(c_15924,plain,
    ( ~ c2_1(a1004)
    | ~ c1_1(a1004)
    | ~ sP5_iProver_split
    | c3_1(a1004) ),
    inference(instantiation,[status(thm)],[c_15625]) ).

cnf(c_15928,plain,
    ( ~ sP20_iProver_split
    | c3_1(a1037)
    | c2_1(a1037)
    | c1_1(a1037) ),
    inference(instantiation,[status(thm)],[c_15648]) ).

cnf(c_15933,plain,
    ( ~ c3_1(a1043)
    | ~ c0_1(a1043)
    | ~ sP1_iProver_split
    | c1_1(a1043) ),
    inference(instantiation,[status(thm)],[c_15619]) ).

cnf(c_15953,plain,
    ( ~ c2_1(a1008)
    | ~ sP16_iProver_split
    | c3_1(a1008)
    | c1_1(a1008) ),
    inference(instantiation,[status(thm)],[c_15641]) ).

cnf(c_15955,plain,
    ( ~ c3_1(a1052)
    | ~ sP17_iProver_split
    | c2_1(a1052)
    | c0_1(a1052) ),
    inference(instantiation,[status(thm)],[c_15642]) ).

cnf(c_15968,plain,
    ( ~ c2_1(a1033)
    | ~ c0_1(a1033)
    | ~ c1_1(a1033)
    | ~ sP21_iProver_split ),
    inference(instantiation,[status(thm)],[c_15650]) ).

cnf(c_15969,plain,
    ( ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ c1_1(a1029)
    | ~ sP21_iProver_split ),
    inference(instantiation,[status(thm)],[c_15650]) ).

cnf(c_15975,plain,
    ( ~ c2_1(a1004)
    | ~ c0_1(a1004)
    | ~ c1_1(a1004)
    | ~ sP21_iProver_split ),
    inference(instantiation,[status(thm)],[c_15650]) ).

cnf(c_15981,plain,
    ( ~ c2_1(a1032)
    | ~ c1_1(a1032)
    | ~ sP23_iProver_split
    | c0_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15656]) ).

cnf(c_15983,plain,
    ( ~ c2_1(a1019)
    | ~ c1_1(a1019)
    | ~ sP23_iProver_split
    | c0_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15656]) ).

cnf(c_15985,plain,
    ( ~ c2_1(a1004)
    | ~ c1_1(a1004)
    | ~ sP23_iProver_split
    | c0_1(a1004) ),
    inference(instantiation,[status(thm)],[c_15656]) ).

cnf(c_15991,plain,
    ( ~ c3_1(a1032)
    | ~ c1_1(a1032)
    | ~ sP4_iProver_split
    | c0_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15623]) ).

cnf(c_15993,plain,
    ( ~ c3_1(a1019)
    | ~ c1_1(a1019)
    | ~ sP4_iProver_split
    | c0_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15623]) ).

cnf(c_16002,plain,
    ( ~ c3_1(a1052)
    | ~ sP10_iProver_split
    | c2_1(a1052)
    | c1_1(a1052) ),
    inference(instantiation,[status(thm)],[c_15632]) ).

cnf(c_16010,plain,
    ( ~ c0_1(a1025)
    | ~ c1_1(a1025)
    | ~ sP0_iProver_split
    | c2_1(a1025) ),
    inference(instantiation,[status(thm)],[c_15618]) ).

cnf(c_16011,plain,
    ( ~ c0_1(a1011)
    | ~ c1_1(a1011)
    | ~ sP0_iProver_split
    | c2_1(a1011) ),
    inference(instantiation,[status(thm)],[c_15618]) ).

cnf(c_16033,plain,
    ( ~ c3_1(a1045)
    | ~ c1_1(a1045)
    | ~ sP4_iProver_split
    | c0_1(a1045) ),
    inference(instantiation,[status(thm)],[c_15623]) ).

cnf(c_16050,plain,
    ( ~ c1_1(a1025)
    | ~ sP24_iProver_split
    | c3_1(a1025)
    | c2_1(a1025) ),
    inference(instantiation,[status(thm)],[c_15661]) ).

cnf(c_16055,plain,
    ( ~ c1_1(a1052)
    | ~ sP26_iProver_split
    | c2_1(a1052)
    | c0_1(a1052) ),
    inference(instantiation,[status(thm)],[c_15671]) ).

cnf(c_16065,plain,
    ( ~ sP28_iProver_split
    | c3_1(a1037)
    | c0_1(a1037)
    | c1_1(a1037) ),
    inference(instantiation,[status(thm)],[c_15687]) ).

cnf(c_16069,plain,
    ( ~ sP28_iProver_split
    | c3_1(a1008)
    | c0_1(a1008)
    | c1_1(a1008) ),
    inference(instantiation,[status(thm)],[c_15687]) ).

cnf(c_16210,plain,
    ( ~ sP19_iProver_split
    | c2_1(a1052)
    | c0_1(a1052)
    | c1_1(a1052) ),
    inference(instantiation,[status(thm)],[c_15646]) ).

cnf(c_16231,plain,
    ( ~ c1_1(a1004)
    | ~ sP9_iProver_split
    | c3_1(a1004)
    | c0_1(a1004) ),
    inference(instantiation,[status(thm)],[c_15630]) ).

cnf(c_16244,plain,
    ( ~ c3_1(a1032)
    | ~ c2_1(a1032)
    | ~ sP3_iProver_split
    | c0_1(a1032) ),
    inference(instantiation,[status(thm)],[c_15622]) ).

cnf(c_16247,plain,
    ( ~ c3_1(a1019)
    | ~ c2_1(a1019)
    | ~ sP3_iProver_split
    | c0_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15622]) ).

cnf(c_16274,plain,
    ( ~ c3_1(a1029)
    | ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_15652]) ).

cnf(c_16312,plain,
    ( ~ c3_1(a1026)
    | ~ c2_1(a1026)
    | ~ sP6_iProver_split
    | c1_1(a1026) ),
    inference(instantiation,[status(thm)],[c_15626]) ).

cnf(c_16322,plain,
    ( ~ c3_1(a1019)
    | ~ c2_1(a1019)
    | ~ c1_1(a1019)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15620]) ).

cnf(c_16335,plain,
    ( ~ c2_1(a1004)
    | ~ c0_1(a1004)
    | ~ sP8_iProver_split
    | c3_1(a1004) ),
    inference(instantiation,[status(thm)],[c_15629]) ).

cnf(c_16347,plain,
    ( ~ c2_1(a1004)
    | ~ sP14_iProver_split
    | c3_1(a1004)
    | c0_1(a1004) ),
    inference(instantiation,[status(thm)],[c_15638]) ).

cnf(c_16349,plain,
    ( ~ c2_1(a1026)
    | ~ sP14_iProver_split
    | c3_1(a1026)
    | c0_1(a1026) ),
    inference(instantiation,[status(thm)],[c_15638]) ).

cnf(c_16351,plain,
    ( ~ c3_1(a1052)
    | ~ sP15_iProver_split
    | c0_1(a1052)
    | c1_1(a1052) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

cnf(c_16370,plain,
    ( ~ sP19_iProver_split
    | c2_1(a1038)
    | c0_1(a1038)
    | c1_1(a1038) ),
    inference(instantiation,[status(thm)],[c_15646]) ).

cnf(c_16383,plain,
    ( ~ c3_1(a1001)
    | ~ c2_1(a1001)
    | ~ c0_1(a1001)
    | ~ sP22_iProver_split ),
    inference(instantiation,[status(thm)],[c_15652]) ).

cnf(c_16418,plain,
    ( ~ c2_1(a1019)
    | ~ sP14_iProver_split
    | c3_1(a1019)
    | c0_1(a1019) ),
    inference(instantiation,[status(thm)],[c_15638]) ).

cnf(c_16431,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16418,c_16383,c_16370,c_16351,c_16349,c_16347,c_16335,c_16322,c_16312,c_16274,c_16247,c_16244,c_16231,c_16210,c_16069,c_16065,c_16055,c_16050,c_16033,c_16011,c_16010,c_16002,c_15993,c_15991,c_15985,c_15983,c_15981,c_15975,c_15969,c_15968,c_15955,c_15953,c_15933,c_15928,c_15924,c_15922,c_15896,c_15890,c_15861,c_15849,c_15837,c_15836,c_15835,c_15834,c_15833,c_15832,c_15825,c_15823,c_15814,c_15811,c_15805,c_15804,c_15802,c_15781,c_15777,c_15776,c_15770,c_15763,c_15762,c_15761,c_15757,c_15752,c_15750,c_15747,c_15746,c_15740,c_15738,c_15737,c_15734,c_15733,c_15732,c_15731,c_15730,c_15729,c_15728,c_15726,c_15725,c_15724,c_15723,c_15722,c_15720,c_15719,c_15718,c_15717,c_15715,c_15713,c_15712,c_15711,c_15710,c_15708,c_15706,c_15704,c_15703,c_15699,c_15698,c_15693,c_15691,c_15688,c_15686,c_15680,c_15678,c_15677,c_15676,c_15673,c_15672,c_15667,c_15660,c_15659,c_15658,c_15657,c_15655,c_15654,c_15653,c_15651,c_15647,c_15643,c_15639,c_15636,c_15628,c_15624,c_7033,c_7023,c_7013,c_6997,c_6980,c_6963,c_6949,c_6935,c_6921,c_5923,c_5906,c_5889,c_5710,c_5693,c_5676,c_5653,c_5607,c_5153,c_5136,c_5062,c_5039,c_5016,c_4213,c_4196,c_4179,c_4162,c_4145,c_4128,c_4072,c_4062,c_4052,c_4036,c_4019,c_4002,c_3631,c_3608,c_3585,c_3322,c_3312,c_3302,c_3157,c_3147,c_3137,c_2815,c_2546,c_2529,c_2512,c_2495,c_2478,c_2461,c_2252,c_2229,c_2206,c_480,c_435,c_376,c_364,c_269,c_268,c_266,c_262,c_252,c_244,c_133,c_134,c_141,c_161,c_162,c_163,c_169,c_177,c_178,c_181,c_182,c_185,c_186,c_189,c_201,c_205,c_209,c_210,c_213,c_217,c_218,c_219,c_221,c_229,c_233,c_125,c_126,c_127,c_129,c_130,c_131,c_135,c_142,c_143,c_170,c_171,c_179,c_183,c_187,c_190,c_191,c_202,c_203,c_206,c_207,c_211,c_214,c_215,c_222,c_223,c_230,c_231,c_234,c_235,c_238,c_239,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % 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 18:38:15 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.06/1.17  % SZS status Started for theBenchmark.p
% 1.06/1.17  % SZS status Theorem for theBenchmark.p
% 1.06/1.17  
% 1.06/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.06/1.17  
% 1.06/1.17  ------  iProver source info
% 1.06/1.17  
% 1.06/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.06/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.06/1.17  git: non_committed_changes: false
% 1.06/1.17  git: last_make_outside_of_git: false
% 1.06/1.17  
% 1.06/1.17  ------ Parsing...
% 1.06/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.06/1.17  
% 1.06/1.17  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.06/1.17   gs_s  sp: 114 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.06/1.17  ------ Proving...
% 1.06/1.17  ------ Problem Properties 
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  clauses                                 192
% 1.06/1.17  conjectures                             192
% 1.06/1.17  EPR                                     192
% 1.06/1.17  Horn                                    106
% 1.06/1.17  unary                                   0
% 1.06/1.17  binary                                  90
% 1.06/1.17  lits                                    518
% 1.06/1.17  lits eq                                 0
% 1.06/1.17  fd_pure                                 0
% 1.06/1.17  fd_pseudo                               0
% 1.06/1.17  fd_cond                                 0
% 1.06/1.17  fd_pseudo_cond                          0
% 1.06/1.17  AC symbols                              0
% 1.06/1.17  
% 1.06/1.17  ------ Schedule EPR non Horn non eq is on
% 1.06/1.17  
% 1.06/1.17  ------ no equalities: superposition off 
% 1.06/1.17  
% 1.06/1.17  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  ------ 
% 1.06/1.17  Current options:
% 1.06/1.17  ------ 
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  ------ Proving...
% 1.06/1.17  
% 1.06/1.17  
% 1.06/1.17  % SZS status Theorem for theBenchmark.p
% 1.06/1.17  
% 1.06/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.17  
% 1.54/1.17  
%------------------------------------------------------------------------------