TSTP Solution File: SYN489+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 May  3 03:31:11 EDT 2024

% Result   : Theorem 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f228)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp3
        | hskp27
        | hskp2 )
      & ( hskp12
        | hskp13
        | hskp7 )
      & ( hskp27
        | hskp23 )
      & ( hskp0
        | hskp24 )
      & ( hskp16
        | hskp19
        | hskp6 )
      & ( hskp20
        | hskp2
        | hskp21 )
      & ( hskp1
        | hskp18
        | hskp21 )
      & ( hskp26
        | hskp21
        | hskp30 )
      & ( hskp23
        | hskp31
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c1_1(X120) ) ) )
      & ( hskp20
        | hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c0_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp1
        | hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp20
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp10
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp18
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp6
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp25
        | hskp24
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp9
        | hskp30
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp4
        | hskp9
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp16
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp10
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp21
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp7
        | hskp8
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp5
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp28
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp4
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp0
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp3
        | hskp25
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp14
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp2
        | hskp29
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp22
        | hskp30
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp29
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp24
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp23
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp22
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp7
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp20
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp10
        | hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp14
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp0
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp17
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp16
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp15
        | hskp4
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c0_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | hskp13
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp0
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c0_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp3
        | hskp28
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp1
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp9
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp8
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp7
        | hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp5
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c1_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp0
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c0_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2597)
          & c1_1(a2597)
          & c0_1(a2597)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a2558)
          & c1_1(a2558)
          & c0_1(a2558)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2556)
          & c2_1(a2556)
          & c1_1(a2556)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2529)
          & c2_1(a2529)
          & c0_1(a2529)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a2614)
          & ~ c2_1(a2614)
          & c1_1(a2614)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2601)
          & c3_1(a2601)
          & c0_1(a2601)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2564)
          & ~ c1_1(a2564)
          & c0_1(a2564)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2555)
          & c2_1(a2555)
          & c0_1(a2555)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a2553)
          & ~ c1_1(a2553)
          & c0_1(a2553)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2552)
          & ~ c1_1(a2552)
          & c2_1(a2552)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2551)
          & c1_1(a2551)
          & c0_1(a2551)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2549)
          & ~ c0_1(a2549)
          & c2_1(a2549)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a2548)
          & c3_1(a2548)
          & c0_1(a2548)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a2545)
          & c2_1(a2545)
          & c1_1(a2545)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a2541)
          & ~ c1_1(a2541)
          & c3_1(a2541)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2540)
          & ~ c2_1(a2540)
          & c0_1(a2540)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2539)
          & ~ c0_1(a2539)
          & c3_1(a2539)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a2536)
          & ~ c1_1(a2536)
          & ~ c0_1(a2536)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a2534)
          & ~ c0_1(a2534)
          & c1_1(a2534)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2533)
          & ~ c2_1(a2533)
          & ~ c1_1(a2533)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2531)
          & c2_1(a2531)
          & c1_1(a2531)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2528)
          & ~ c0_1(a2528)
          & c3_1(a2528)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a2526)
          & c3_1(a2526)
          & c1_1(a2526)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2525)
          & c2_1(a2525)
          & c0_1(a2525)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2524)
          & c3_1(a2524)
          & c1_1(a2524)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2523)
          & c1_1(a2523)
          & c0_1(a2523)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2522)
          & c3_1(a2522)
          & c2_1(a2522)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a2521)
          & c3_1(a2521)
          & c2_1(a2521)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2519)
          & ~ c2_1(a2519)
          & ~ c0_1(a2519)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2518)
          & ~ c0_1(a2518)
          & c1_1(a2518)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2517)
          & ~ c0_1(a2517)
          & c2_1(a2517)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2516)
          & ~ c1_1(a2516)
          & ~ c0_1(a2516)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp3
          | hskp27
          | hskp2 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp27
          | hskp23 )
        & ( hskp0
          | hskp24 )
        & ( hskp16
          | hskp19
          | hskp6 )
        & ( hskp20
          | hskp2
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( hskp26
          | hskp21
          | hskp30 )
        & ( hskp23
          | hskp31
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( hskp20
          | hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp1
          | hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp20
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp10
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp18
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp6
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp25
          | hskp24
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp9
          | hskp30
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp4
          | hskp9
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp16
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp10
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp21
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp7
          | hskp8
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp28
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp4
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp0
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp3
          | hskp25
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp14
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp2
          | hskp29
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp22
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp24
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp23
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp22
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp20
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp10
          | hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp0
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp15
          | hskp4
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | hskp13
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp3
          | hskp28
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp1
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp9
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp8
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp7
          | hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp0
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a2558)
            & c1_1(a2558)
            & c0_1(a2558)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2556)
            & c2_1(a2556)
            & c1_1(a2556)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2529)
            & c2_1(a2529)
            & c0_1(a2529)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2614)
            & ~ c2_1(a2614)
            & c1_1(a2614)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2601)
            & c3_1(a2601)
            & c0_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2564)
            & ~ c1_1(a2564)
            & c0_1(a2564)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2555)
            & c2_1(a2555)
            & c0_1(a2555)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a2553)
            & ~ c1_1(a2553)
            & c0_1(a2553)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2552)
            & ~ c1_1(a2552)
            & c2_1(a2552)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2551)
            & c1_1(a2551)
            & c0_1(a2551)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2549)
            & ~ c0_1(a2549)
            & c2_1(a2549)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a2548)
            & c3_1(a2548)
            & c0_1(a2548)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a2545)
            & c2_1(a2545)
            & c1_1(a2545)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a2541)
            & ~ c1_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2540)
            & ~ c2_1(a2540)
            & c0_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ~ c0_1(a2539)
            & c3_1(a2539)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2536)
            & ~ c1_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a2534)
            & ~ c0_1(a2534)
            & c1_1(a2534)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2533)
            & ~ c2_1(a2533)
            & ~ c1_1(a2533)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2531)
            & c2_1(a2531)
            & c1_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2528)
            & ~ c0_1(a2528)
            & c3_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a2526)
            & c3_1(a2526)
            & c1_1(a2526)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2525)
            & c2_1(a2525)
            & c0_1(a2525)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2524)
            & c3_1(a2524)
            & c1_1(a2524)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2523)
            & c1_1(a2523)
            & c0_1(a2523)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2521)
            & c3_1(a2521)
            & c2_1(a2521)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2519)
            & ~ c2_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2518)
            & ~ c0_1(a2518)
            & c1_1(a2518)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2517)
            & ~ c0_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2516)
            & ~ c1_1(a2516)
            & ~ c0_1(a2516)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp3
          | hskp27
          | hskp2 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp27
          | hskp23 )
        & ( hskp0
          | hskp24 )
        & ( hskp16
          | hskp19
          | hskp6 )
        & ( hskp20
          | hskp2
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( hskp26
          | hskp21
          | hskp30 )
        & ( hskp23
          | hskp31
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp20
          | hskp6
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp3
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp1
          | hskp28
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp20
          | hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp10
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp25
          | hskp24
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp9
          | hskp30
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp4
          | hskp9
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | hskp19
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp10
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp21
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp7
          | hskp8
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp24
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp22
          | hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp28
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp4
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp21
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp0
          | hskp18
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | hskp25
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp14
          | hskp20
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp2
          | hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp22
          | hskp30
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp2
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp24
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp1
          | hskp23
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp22
          | hskp21
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp7
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp20
          | hskp19
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp14
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp10
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp0
          | hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp16
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp15
          | hskp4
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp4
          | hskp13
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp0
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp11
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp3
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp10
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp9
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp8
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp7
          | hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp5
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp4
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp0
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp3
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp1
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp0
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | c1_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a2558)
            & c1_1(a2558)
            & c0_1(a2558)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2556)
            & c2_1(a2556)
            & c1_1(a2556)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2529)
            & c2_1(a2529)
            & c0_1(a2529)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2614)
            & ~ c2_1(a2614)
            & c1_1(a2614)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2601)
            & c3_1(a2601)
            & c0_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2564)
            & ~ c1_1(a2564)
            & c0_1(a2564)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2555)
            & c2_1(a2555)
            & c0_1(a2555)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a2553)
            & ~ c1_1(a2553)
            & c0_1(a2553)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2552)
            & ~ c1_1(a2552)
            & c2_1(a2552)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2551)
            & c1_1(a2551)
            & c0_1(a2551)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2549)
            & ~ c0_1(a2549)
            & c2_1(a2549)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a2548)
            & c3_1(a2548)
            & c0_1(a2548)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a2545)
            & c2_1(a2545)
            & c1_1(a2545)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a2541)
            & ~ c1_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2540)
            & ~ c2_1(a2540)
            & c0_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ~ c0_1(a2539)
            & c3_1(a2539)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2536)
            & ~ c1_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a2534)
            & ~ c0_1(a2534)
            & c1_1(a2534)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2533)
            & ~ c2_1(a2533)
            & ~ c1_1(a2533)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2531)
            & c2_1(a2531)
            & c1_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2528)
            & ~ c0_1(a2528)
            & c3_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a2526)
            & c3_1(a2526)
            & c1_1(a2526)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2525)
            & c2_1(a2525)
            & c0_1(a2525)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2524)
            & c3_1(a2524)
            & c1_1(a2524)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2523)
            & c1_1(a2523)
            & c0_1(a2523)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2521)
            & c3_1(a2521)
            & c2_1(a2521)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2519)
            & ~ c2_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2518)
            & ~ c0_1(a2518)
            & c1_1(a2518)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2517)
            & ~ c0_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2516)
            & ~ c1_1(a2516)
            & ~ c0_1(a2516)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp3
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp6
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp10
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp21
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp24
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp28
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp4
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c1_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp21
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp2
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c1_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp24
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp7
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c3_1(X45)
            | c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp14
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp17
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp16
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp13
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp12
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c0_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp0
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp11
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp10
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp9
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp8
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp5
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp4
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c3_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp0
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c0_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp3
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp2
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c0_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c1_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp1
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp0
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c2_1(X119)
            | c1_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X90] :
          ( ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ~ c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X119] :
          ( ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp25
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp30
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp9
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp19
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp5
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X25] :
          ( ~ c2_1(X25)
          | ~ c1_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp18
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp29
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp23
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c3_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp19
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp4
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c1_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp13
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp28
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X86] :
          ( ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X90] :
          ( ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X92] :
          ( ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X94] :
          ( ~ c3_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X107] :
          ( ~ c2_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c0_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c2_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c1_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c3_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X119] :
          ( ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( ~ c0_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c1_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( ~ c0_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c2_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c1_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c2_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c3_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c0_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c0_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c2_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c3_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c0_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c0_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c1_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( ~ c1_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c2_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c3_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c1_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c0_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c2_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( ~ c0_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c1_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c3_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c3_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c0_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c2_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c2_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c3_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c3_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c1_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c2_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c1_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( c2_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c0_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c0_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c1_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c2_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c0_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c1_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c0_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c2_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c2_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c1_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c3_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c1_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c3_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f104,plain,
    ( c0_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c2_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c1_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c1_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( ~ c2_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( ~ c3_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f156,plain,
    ! [X75] :
      ( hskp4
      | hskp13
      | ~ c1_1(X75)
      | c3_1(X75)
      | c0_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X64] :
      ( hskp15
      | hskp4
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp10
      | hskp18
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f169,plain,
    ! [X50] :
      ( hskp20
      | hskp19
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X32] :
      ( hskp2
      | hskp29
      | ~ c0_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ! [X29] :
      ( hskp0
      | hskp18
      | ~ c2_1(X29)
      | ~ c0_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    ! [X22] :
      ( hskp22
      | hskp5
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X19] :
      ( hskp7
      | hskp8
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X14] :
      ( hskp16
      | hskp19
      | ~ c0_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X13] :
      ( hskp4
      | hskp9
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp10
      | hskp29
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp20
      | hskp6
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( hskp20
    | hskp2
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f207,plain,
    ( hskp0
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f208,plain,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f209,plain,
    ( hskp12
    | hskp13
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f210,plain,
    ( hskp3
    | hskp27
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp2 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_50,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp7 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_51,negated_conjecture,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_52,negated_conjecture,
    ( hskp0
    | hskp24 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_53,negated_conjecture,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_54,negated_conjecture,
    ( hskp2
    | hskp20
    | hskp21 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp6
    | hskp20 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_59,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp3 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_62,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp10
    | hskp29 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_63,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp18 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_64,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_67,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp9
    | hskp4 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_68,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp19 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_70,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp21 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp7
    | hskp8 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp22
    | hskp5 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp4 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp21 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_77,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp0
    | hskp18 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_80,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp29 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_82,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | hskp29 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_88,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_90,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp20 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_91,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp18
    | hskp10 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | hskp16 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_98,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp4
    | hskp15 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_100,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp13 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_103,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp4 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_109,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_110,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_111,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_112,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_120,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_121,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_122,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f251]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2556) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2556) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp29
    | c1_1(a2556) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_141,negated_conjecture,
    ( ~ c3_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp27
    | c1_1(a2614) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_153,negated_conjecture,
    ( ~ c1_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp24
    | c2_1(a2555) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp24
    | c0_1(a2555) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_156,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp23
    | c0_1(a2553) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp22
    | c2_1(a2552) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_165,negated_conjecture,
    ( ~ c2_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_166,negated_conjecture,
    ( ~ hskp21
    | c1_1(a2551) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp21
    | c0_1(a2551) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_170,negated_conjecture,
    ( ~ c0_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp20
    | c2_1(a2549) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp19
    | c3_1(a2548) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp19
    | c0_1(a2548) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp18
    | c2_1(a2545) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp18
    | c1_1(a2545) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_182,negated_conjecture,
    ( ~ c1_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp17
    | c3_1(a2541) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp16
    | c0_1(a2540) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_189,negated_conjecture,
    ( ~ c2_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp15
    | c3_1(a2539) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_194,negated_conjecture,
    ( ~ c1_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_195,negated_conjecture,
    ( ~ c0_1(a2536)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_198,negated_conjecture,
    ( ~ c0_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp13
    | c1_1(a2534) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_202,negated_conjecture,
    ( ~ c2_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_203,negated_conjecture,
    ( ~ c1_1(a2533)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp11
    | c2_1(a2531) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp11
    | c1_1(a2531) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_209,negated_conjecture,
    ( ~ c1_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_210,negated_conjecture,
    ( ~ c0_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp10
    | c3_1(a2528) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_213,negated_conjecture,
    ( ~ c0_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp9
    | c3_1(a2526) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp9
    | c1_1(a2526) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp8
    | c2_1(a2525) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp8
    | c0_1(a2525) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_221,negated_conjecture,
    ( ~ c2_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp7
    | c3_1(a2524) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp7
    | c1_1(a2524) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp6
    | c1_1(a2523) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp6
    | c0_1(a2523) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_229,negated_conjecture,
    ( ~ c0_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_230,negated_conjecture,
    ( ~ hskp5
    | c3_1(a2522) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp5
    | c2_1(a2522) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_233,negated_conjecture,
    ( ~ c1_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_234,negated_conjecture,
    ( ~ hskp4
    | c3_1(a2521) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp4
    | c2_1(a2521) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_237,negated_conjecture,
    ( ~ c3_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_238,negated_conjecture,
    ( ~ c2_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_239,negated_conjecture,
    ( ~ c0_1(a2519)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_241,negated_conjecture,
    ( ~ c3_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp2
    | c1_1(a2518) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_249,negated_conjecture,
    ( ~ c2_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_250,negated_conjecture,
    ( ~ c1_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_251,negated_conjecture,
    ( ~ c0_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_286,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_252,c_52,c_252,c_156]) ).

cnf(c_350,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_52,c_252,c_156,c_90]) ).

cnf(c_359,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_52,c_252,c_156,c_103]) ).

cnf(c_371,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_52,c_252,c_156,c_80]) ).

cnf(c_377,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_52,c_252,c_156,c_68]) ).

cnf(c_380,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp9
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_52,c_252,c_156,c_67]) ).

cnf(c_383,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_52,c_252,c_156,c_98]) ).

cnf(c_384,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp15 ),
    inference(renaming,[status(thm)],[c_383]) ).

cnf(c_389,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp18
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_52,c_252,c_156,c_92]) ).

cnf(c_390,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp18
    | hskp10 ),
    inference(renaming,[status(thm)],[c_389]) ).

cnf(c_395,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_52,c_252,c_156,c_77]) ).

cnf(c_396,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp18 ),
    inference(renaming,[status(thm)],[c_395]) ).

cnf(c_398,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_252,c_156,c_73]) ).

cnf(c_399,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp5 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_401,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_52,c_252,c_156,c_71]) ).

cnf(c_402,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp8 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_410,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp10
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_52,c_252,c_156,c_62]) ).

cnf(c_411,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp10
    | hskp29 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_419,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp6
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_52,c_252,c_156,c_58]) ).

cnf(c_420,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp6
    | hskp20 ),
    inference(renaming,[status(thm)],[c_419]) ).

cnf(c_428,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_52,c_252,c_156,c_112]) ).

cnf(c_430,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_52,c_252,c_156,c_111]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_52,c_252,c_156,c_110]) ).

cnf(c_438,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_52,c_252,c_156,c_121]) ).

cnf(c_439,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_442,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_52,c_252,c_156,c_109]) ).

cnf(c_443,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_445,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_52,c_252,c_156,c_107]) ).

cnf(c_446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_448,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_52,c_252,c_156,c_91]) ).

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

cnf(c_450,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_52,c_252,c_156,c_88]) ).

cnf(c_451,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_452,plain,
    ( c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_52,c_252,c_156,c_85,c_72]) ).

cnf(c_453,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_452]) ).

cnf(c_454,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_52,c_252,c_156,c_82]) ).

cnf(c_455,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_454]) ).

cnf(c_467,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_52,c_252,c_156,c_100]) ).

cnf(c_468,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_469,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_52,c_252,c_156,c_96]) ).

cnf(c_470,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_471,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_52,c_252,c_156,c_83]) ).

cnf(c_472,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_453]) ).

cnf(c_474,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_52,c_252,c_156,c_70]) ).

cnf(c_476,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_478,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_52,c_252,c_156,c_114]) ).

cnf(c_479,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_478]) ).

cnf(c_480,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_52,c_252,c_156,c_97]) ).

cnf(c_481,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_480]) ).

cnf(c_482,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_52,c_252,c_156,c_76]) ).

cnf(c_483,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_484,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_52,c_252,c_156,c_75]) ).

cnf(c_485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_486,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_52,c_252,c_156,c_69]) ).

cnf(c_487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_52,c_252,c_156,c_93]) ).

cnf(c_489,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_492,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_52,c_252,c_156,c_64]) ).

cnf(c_493,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_492]) ).

cnf(c_494,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_52,c_252,c_156,c_63]) ).

cnf(c_495,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_494]) ).

cnf(c_496,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_52,c_252,c_156,c_59]) ).

cnf(c_497,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_496]) ).

cnf(c_499,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_52,c_252,c_156,c_122]) ).

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

cnf(c_501,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_52,c_252,c_156,c_102]) ).

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

cnf(c_503,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_52,c_252,c_156,c_99]) ).

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

cnf(c_505,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_52,c_252,c_156,c_120]) ).

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

cnf(c_507,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_52,c_252,c_156,c_118]) ).

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

cnf(c_509,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_52,c_252,c_156,c_117]) ).

cnf(c_510,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_509]) ).

cnf(c_511,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_52,c_252,c_156,c_89]) ).

cnf(c_512,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_511]) ).

cnf(c_513,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_52,c_252,c_156,c_106]) ).

cnf(c_514,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_513]) ).

cnf(c_515,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_52,c_252,c_156,c_84]) ).

cnf(c_516,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_515]) ).

cnf(c_517,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_94,c_286]) ).

cnf(c_518,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_517]) ).

cnf(c_1885,plain,
    ( c1_1(a2614)
    | hskp3
    | hskp2 ),
    inference(resolution,[status(thm)],[c_49,c_143]) ).

cnf(c_1895,plain,
    ( ~ c2_1(a2614)
    | hskp3
    | hskp2 ),
    inference(resolution,[status(thm)],[c_49,c_142]) ).

cnf(c_1905,plain,
    ( ~ c3_1(a2614)
    | hskp3
    | hskp2 ),
    inference(resolution,[status(thm)],[c_49,c_141]) ).

cnf(c_2239,plain,
    ( ~ c1_1(a2533)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_203]) ).

cnf(c_2249,plain,
    ( ~ c2_1(a2533)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_202]) ).

cnf(c_2259,plain,
    ( ~ c3_1(a2533)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_201]) ).

cnf(c_2533,plain,
    ( c0_1(a2553)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_159]) ).

cnf(c_2540,plain,
    ( ~ c1_1(a2553)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_158]) ).

cnf(c_2547,plain,
    ( ~ c3_1(a2553)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_157]) ).

cnf(c_3166,plain,
    ( c0_1(a2548)
    | hskp16
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_175]) ).

cnf(c_3176,plain,
    ( c3_1(a2548)
    | hskp16
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_174]) ).

cnf(c_3186,plain,
    ( ~ c1_1(a2548)
    | hskp16
    | hskp6 ),
    inference(resolution,[status(thm)],[c_53,c_173]) ).

cnf(c_5350,plain,
    ( c0_1(a2523)
    | hskp16
    | hskp19 ),
    inference(resolution,[status(thm)],[c_53,c_227]) ).

cnf(c_5360,plain,
    ( c1_1(a2523)
    | hskp16
    | hskp19 ),
    inference(resolution,[status(thm)],[c_53,c_226]) ).

cnf(c_5370,plain,
    ( ~ c3_1(a2523)
    | hskp16
    | hskp19 ),
    inference(resolution,[status(thm)],[c_53,c_225]) ).

cnf(c_5851,plain,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | c2_1(a2549)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_350,c_171]) ).

cnf(c_5852,plain,
    ( c3_1(a2516)
    | c2_1(a2549)
    | c2_1(a2516)
    | c1_1(a2516)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_5851]) ).

cnf(c_5868,plain,
    ( ~ c0_1(a2549)
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_350,c_170]) ).

cnf(c_5869,plain,
    ( ~ c0_1(a2549)
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_5868]) ).

cnf(c_5885,plain,
    ( ~ c1_1(a2549)
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_350,c_169]) ).

cnf(c_5886,plain,
    ( ~ c1_1(a2549)
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_5885]) ).

cnf(c_8326,plain,
    ( ~ c0_1(a2516)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_52,c_251]) ).

cnf(c_8333,plain,
    ( ~ c1_1(a2516)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_52,c_250]) ).

cnf(c_8340,plain,
    ( ~ c2_1(a2516)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_52,c_249]) ).

cnf(c_8752,plain,
    ( c0_1(a2551)
    | hskp2
    | hskp20 ),
    inference(resolution,[status(thm)],[c_54,c_167]) ).

cnf(c_8762,plain,
    ( c1_1(a2551)
    | hskp2
    | hskp20 ),
    inference(resolution,[status(thm)],[c_54,c_166]) ).

cnf(c_17037,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_518]) ).

cnf(c_17038,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_518]) ).

cnf(c_17039,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_518]) ).

cnf(c_17040,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

cnf(c_17041,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_516]) ).

cnf(c_17042,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_516]) ).

cnf(c_17043,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_516]) ).

cnf(c_17044,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

cnf(c_17045,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_514]) ).

cnf(c_17046,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_514]) ).

cnf(c_17048,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_512]) ).

cnf(c_17049,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_512]) ).

cnf(c_17050,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_512]) ).

cnf(c_17051,negated_conjecture,
    ( sP8_iProver_def
    | sP9_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_512]) ).

cnf(c_17052,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_510]) ).

cnf(c_17053,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_510]) ).

cnf(c_17054,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_510]) ).

cnf(c_17056,negated_conjecture,
    ( sP1_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

cnf(c_17057,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_506]) ).

cnf(c_17058,negated_conjecture,
    ( sP6_iProver_def
    | sP12_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

cnf(c_17059,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_504]) ).

cnf(c_17060,negated_conjecture,
    ( sP4_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

cnf(c_17061,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_502]) ).

cnf(c_17062,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_502]) ).

cnf(c_17063,negated_conjecture,
    ( sP13_iProver_def
    | sP16_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

cnf(c_17064,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_500]) ).

cnf(c_17065,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_500]) ).

cnf(c_17066,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_500]) ).

cnf(c_17067,negated_conjecture,
    ( sP18_iProver_def
    | sP19_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_17068,negated_conjecture,
    ( hskp3
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

cnf(c_17069,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_495]) ).

cnf(c_17071,negated_conjecture,
    ( hskp6
    | sP2_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

cnf(c_17073,negated_conjecture,
    ( hskp14
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

cnf(c_17074,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_487]) ).

cnf(c_17075,negated_conjecture,
    ( hskp10
    | sP0_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_17076,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_485]) ).

cnf(c_17077,negated_conjecture,
    ( hskp4
    | sP13_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

cnf(c_17078,negated_conjecture,
    ( hskp21
    | sP3_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

cnf(c_17079,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_481]) ).

cnf(c_17080,negated_conjecture,
    ( hskp16
    | sP6_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

cnf(c_17081,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_479]) ).

cnf(c_17082,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

cnf(c_17083,negated_conjecture,
    ( hskp21
    | sP3_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_17084,negated_conjecture,
    ( hskp29
    | sP4_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_17085,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_470]) ).

cnf(c_17086,negated_conjecture,
    ( hskp17
    | sP24_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_17087,negated_conjecture,
    ( hskp13
    | sP9_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_17094,negated_conjecture,
    ( hskp2
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

cnf(c_17095,negated_conjecture,
    ( c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_474]) ).

cnf(c_17096,negated_conjecture,
    ( hskp24
    | sP22_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_17097,negated_conjecture,
    ( hskp7
    | sP9_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_17098,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_def])],[c_449]) ).

cnf(c_17100,negated_conjecture,
    ( hskp11
    | sP4_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_17101,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_443]) ).

cnf(c_17102,negated_conjecture,
    ( hskp10
    | sP26_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_17104,negated_conjecture,
    ( hskp2
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_17107,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP32_iProver_def])],[c_433]) ).

cnf(c_17109,negated_conjecture,
    ( hskp9
    | sP26_iProver_def
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_17110,negated_conjecture,
    ( hskp8
    | sP9_iProver_def
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

cnf(c_17113,negated_conjecture,
    ( hskp6
    | hskp20
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

cnf(c_17116,negated_conjecture,
    ( hskp10
    | hskp29
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_17119,negated_conjecture,
    ( hskp7
    | hskp8
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_17120,negated_conjecture,
    ( hskp22
    | hskp5
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_17121,negated_conjecture,
    ( hskp0
    | hskp18
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

cnf(c_17123,negated_conjecture,
    ( hskp18
    | hskp10
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

cnf(c_17125,negated_conjecture,
    ( hskp4
    | hskp15
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

cnf(c_17126,negated_conjecture,
    ( hskp9
    | hskp4
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_17127,negated_conjecture,
    ( hskp16
    | hskp19
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_17129,negated_conjecture,
    ( hskp2
    | hskp29
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_17133,negated_conjecture,
    ( hskp13
    | hskp4
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

cnf(c_17136,negated_conjecture,
    ( hskp19
    | hskp20
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

cnf(c_17137,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17040]) ).

cnf(c_17141,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_17044]) ).

cnf(c_17149,negated_conjecture,
    ( sP8_iProver_def
    | sP9_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_17051]) ).

cnf(c_17157,negated_conjecture,
    ( sP1_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_17056]) ).

cnf(c_17161,negated_conjecture,
    ( sP6_iProver_def
    | sP12_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17058]) ).

cnf(c_17165,negated_conjecture,
    ( sP4_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_17060]) ).

cnf(c_17169,negated_conjecture,
    ( sP13_iProver_def
    | sP16_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_17063]) ).

cnf(c_17172,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP16_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17061]) ).

cnf(c_17173,negated_conjecture,
    ( sP18_iProver_def
    | sP19_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17067]) ).

cnf(c_17177,negated_conjecture,
    ( hskp3
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17068]) ).

cnf(c_17183,negated_conjecture,
    ( hskp6
    | sP2_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_17071]) ).

cnf(c_17189,negated_conjecture,
    ( hskp14
    | sP0_iProver_def
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_17073]) ).

cnf(c_17192,negated_conjecture,
    ( hskp10
    | sP0_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17075]) ).

cnf(c_17193,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_17037]) ).

cnf(c_17195,negated_conjecture,
    ( hskp4
    | sP13_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_17077]) ).

cnf(c_17198,negated_conjecture,
    ( hskp21
    | sP3_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_17078]) ).

cnf(c_17201,negated_conjecture,
    ( hskp16
    | sP6_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_17080]) ).

cnf(c_17204,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_17082]) ).

cnf(c_17206,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17066]) ).

cnf(c_17207,negated_conjecture,
    ( hskp21
    | sP3_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17083]) ).

cnf(c_17210,negated_conjecture,
    ( hskp29
    | sP4_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_17084]) ).

cnf(c_17213,negated_conjecture,
    ( hskp17
    | sP24_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_17086]) ).

cnf(c_17216,negated_conjecture,
    ( hskp13
    | sP9_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17087]) ).

cnf(c_17220,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP17_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17062]) ).

cnf(c_17226,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17050]) ).

cnf(c_17234,negated_conjecture,
    ( hskp2
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17094]) ).

cnf(c_17237,negated_conjecture,
    ( hskp24
    | sP22_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_17096]) ).

cnf(c_17238,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP28_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17095]) ).

cnf(c_17240,negated_conjecture,
    ( hskp7
    | sP9_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_17097]) ).

cnf(c_17244,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP21_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17069]) ).

cnf(c_17246,negated_conjecture,
    ( hskp11
    | sP4_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_17100]) ).

cnf(c_17247,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17042]) ).

cnf(c_17248,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17046]) ).

cnf(c_17249,negated_conjecture,
    ( hskp10
    | sP26_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17102]) ).

cnf(c_17255,negated_conjecture,
    ( hskp2
    | sP6_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_17104]) ).

cnf(c_17264,negated_conjecture,
    ( hskp9
    | sP26_iProver_def
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_17109]) ).

cnf(c_17265,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP26_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17085]) ).

cnf(c_17267,negated_conjecture,
    ( hskp8
    | sP9_iProver_def
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_17110]) ).

cnf(c_17269,negated_conjecture,
    ( ~ sP32_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17107]) ).

cnf(c_17271,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP12_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17053]) ).

cnf(c_17272,negated_conjecture,
    ( ~ sP19_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17065]) ).

cnf(c_17274,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_17043]) ).

cnf(c_17275,negated_conjecture,
    ( hskp6
    | hskp20
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17113]) ).

cnf(c_17276,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17039]) ).

cnf(c_17278,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP23_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17076]) ).

cnf(c_17280,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP11_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17052]) ).

cnf(c_17281,negated_conjecture,
    ( hskp10
    | hskp29
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_17116]) ).

cnf(c_17282,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17041]) ).

cnf(c_17287,negated_conjecture,
    ( hskp7
    | hskp8
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_17119]) ).

cnf(c_17288,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP8_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17048]) ).

cnf(c_17289,negated_conjecture,
    ( hskp22
    | hskp5
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_17120]) ).

cnf(c_17290,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP13_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17054]) ).

cnf(c_17291,negated_conjecture,
    ( hskp0
    | hskp18
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_17121]) ).

cnf(c_17294,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17045]) ).

cnf(c_17295,negated_conjecture,
    ( hskp18
    | hskp10
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_17123]) ).

cnf(c_17296,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17038]) ).

cnf(c_17298,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP24_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17079]) ).

cnf(c_17299,negated_conjecture,
    ( hskp4
    | hskp15
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17125]) ).

cnf(c_17300,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP14_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17057]) ).

cnf(c_17301,negated_conjecture,
    ( hskp9
    | hskp4
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17126]) ).

cnf(c_17303,negated_conjecture,
    ( hskp16
    | hskp19
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17127]) ).

cnf(c_17304,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP22_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17074]) ).

cnf(c_17307,negated_conjecture,
    ( hskp2
    | hskp29
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_17129]) ).

cnf(c_17310,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP15_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17059]) ).

cnf(c_17314,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP9_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17049]) ).

cnf(c_17315,negated_conjecture,
    ( hskp13
    | hskp4
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17133]) ).

cnf(c_17316,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP18_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17064]) ).

cnf(c_17318,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP30_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17101]) ).

cnf(c_17320,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP25_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17081]) ).

cnf(c_17321,negated_conjecture,
    ( hskp19
    | hskp20
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17136]) ).

cnf(c_17322,negated_conjecture,
    ( ~ sP29_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17098]) ).

cnf(c_17423,plain,
    ( ~ c3_1(a2516)
    | ~ sP28_iProver_def
    | c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17238]) ).

cnf(c_17424,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17272]) ).

cnf(c_17427,plain,
    ( ~ sP32_iProver_def
    | c3_1(a2516)
    | c2_1(a2516)
    | c0_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17269]) ).

cnf(c_17428,plain,
    ( ~ c3_1(a2516)
    | ~ sP4_iProver_def
    | c2_1(a2516)
    | c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17247]) ).

cnf(c_17429,plain,
    ( ~ c3_1(a2516)
    | ~ sP7_iProver_def
    | c2_1(a2516)
    | c0_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

cnf(c_17437,plain,
    ( ~ c3_1(a2516)
    | ~ sP25_iProver_def
    | c1_1(a2516)
    | c0_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17320]) ).

cnf(c_17456,plain,
    ( ~ c3_1(a2551)
    | ~ c1_1(a2551)
    | ~ c0_1(a2551)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17193]) ).

cnf(c_17463,plain,
    ( ~ c3_1(a2548)
    | ~ sP4_iProver_def
    | c2_1(a2548)
    | c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17247]) ).

cnf(c_17464,plain,
    ( ~ c3_1(a2528)
    | ~ sP4_iProver_def
    | c2_1(a2528)
    | c1_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17247]) ).

cnf(c_17468,plain,
    ( ~ c1_1(a2551)
    | ~ sP26_iProver_def
    | c3_1(a2551)
    | c2_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17470,plain,
    ( ~ c1_1(a2534)
    | ~ sP26_iProver_def
    | c3_1(a2534)
    | c2_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17472,plain,
    ( ~ c1_1(a2523)
    | ~ sP26_iProver_def
    | c3_1(a2523)
    | c2_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17473,plain,
    ( ~ c1_1(a2518)
    | ~ sP26_iProver_def
    | c3_1(a2518)
    | c2_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17477,plain,
    ( ~ c2_1(a2549)
    | ~ sP12_iProver_def
    | c1_1(a2549)
    | c0_1(a2549) ),
    inference(instantiation,[status(thm)],[c_17271]) ).

cnf(c_17484,plain,
    ( ~ c3_1(a2528)
    | ~ c2_1(a2528)
    | ~ sP8_iProver_def
    | c1_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

cnf(c_17487,plain,
    ( ~ c3_1(a2521)
    | ~ c2_1(a2521)
    | ~ sP8_iProver_def
    | c1_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17288]) ).

cnf(c_17489,plain,
    ( ~ c3_1(a2548)
    | ~ c0_1(a2548)
    | ~ sP13_iProver_def
    | c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17290]) ).

cnf(c_17493,plain,
    ( ~ c3_1(a2521)
    | ~ c0_1(a2521)
    | ~ sP13_iProver_def
    | c1_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17290]) ).

cnf(c_17495,plain,
    ( ~ c1_1(a2545)
    | ~ sP18_iProver_def
    | c3_1(a2545)
    | c0_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17316]) ).

cnf(c_17499,plain,
    ( ~ c1_1(a2518)
    | ~ sP18_iProver_def
    | c3_1(a2518)
    | c0_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17316]) ).

cnf(c_17510,plain,
    ( ~ c1_1(a2540)
    | ~ sP26_iProver_def
    | c3_1(a2540)
    | c2_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17516,plain,
    ( ~ c1_1(a2519)
    | ~ sP26_iProver_def
    | c3_1(a2519)
    | c2_1(a2519) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17524,plain,
    ( ~ c2_1(a2531)
    | ~ c1_1(a2531)
    | ~ sP23_iProver_def
    | c3_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

cnf(c_17525,plain,
    ( ~ c2_1(a2525)
    | ~ c1_1(a2525)
    | ~ sP23_iProver_def
    | c3_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

cnf(c_17529,plain,
    ( ~ c1_1(a2551)
    | ~ c0_1(a2551)
    | ~ sP3_iProver_def
    | c3_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17282]) ).

cnf(c_17530,plain,
    ( ~ c1_1(a2540)
    | ~ c0_1(a2540)
    | ~ sP3_iProver_def
    | c3_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17282]) ).

cnf(c_17531,plain,
    ( ~ c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ sP3_iProver_def
    | c3_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17282]) ).

cnf(c_17532,plain,
    ( ~ c1_1(a2523)
    | ~ c0_1(a2523)
    | ~ sP3_iProver_def
    | c3_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17282]) ).

cnf(c_17550,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2552)
    | c1_1(a2552)
    | c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17272]) ).

cnf(c_17553,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2536)
    | c1_1(a2536)
    | c0_1(a2536) ),
    inference(instantiation,[status(thm)],[c_17272]) ).

cnf(c_17554,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2533)
    | c1_1(a2533)
    | c0_1(a2533) ),
    inference(instantiation,[status(thm)],[c_17272]) ).

cnf(c_17567,plain,
    ( ~ c2_1(a2545)
    | ~ c1_1(a2545)
    | ~ sP14_iProver_def
    | c0_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

cnf(c_17568,plain,
    ( ~ c2_1(a2531)
    | ~ c1_1(a2531)
    | ~ sP14_iProver_def
    | c0_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

cnf(c_17577,plain,
    ( ~ c3_1(a2533)
    | ~ sP25_iProver_def
    | c1_1(a2533)
    | c0_1(a2533) ),
    inference(instantiation,[status(thm)],[c_17320]) ).

cnf(c_17578,plain,
    ( ~ c3_1(a2528)
    | ~ sP25_iProver_def
    | c1_1(a2528)
    | c0_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17320]) ).

cnf(c_17600,plain,
    ( ~ c3_1(a2555)
    | ~ c2_1(a2555)
    | ~ c0_1(a2555)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17276]) ).

cnf(c_17609,plain,
    ( ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ sP14_iProver_def
    | c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

cnf(c_17614,plain,
    ( ~ c0_1(a2553)
    | ~ sP22_iProver_def
    | c3_1(a2553)
    | c2_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17304]) ).

cnf(c_17616,plain,
    ( ~ c0_1(a2540)
    | ~ sP22_iProver_def
    | c3_1(a2540)
    | c2_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17304]) ).

cnf(c_17618,plain,
    ( ~ c0_1(a2523)
    | ~ sP22_iProver_def
    | c3_1(a2523)
    | c2_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17304]) ).

cnf(c_17620,plain,
    ( ~ c2_1(a2555)
    | ~ c0_1(a2555)
    | ~ sP11_iProver_def
    | c3_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

cnf(c_17624,plain,
    ( ~ c2_1(a2525)
    | ~ c0_1(a2525)
    | ~ sP11_iProver_def
    | c3_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

cnf(c_17625,plain,
    ( ~ c2_1(a2523)
    | ~ c0_1(a2523)
    | ~ sP11_iProver_def
    | c3_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

cnf(c_17673,plain,
    ( ~ c3_1(a2548)
    | ~ c0_1(a2548)
    | ~ sP10_iProver_def
    | c2_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17226]) ).

cnf(c_17693,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2519)
    | c1_1(a2519)
    | c0_1(a2519) ),
    inference(instantiation,[status(thm)],[c_17272]) ).

cnf(c_17699,plain,
    ( ~ c3_1(a2556)
    | ~ c2_1(a2556)
    | ~ c0_1(a2556)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17276]) ).

cnf(c_17701,plain,
    ( ~ c3_1(a2548)
    | ~ c2_1(a2548)
    | ~ c0_1(a2548)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17276]) ).

cnf(c_17724,plain,
    ( ~ c2_1(a2555)
    | ~ c0_1(a2555)
    | ~ sP6_iProver_def
    | c1_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

cnf(c_17728,plain,
    ( ~ c2_1(a2525)
    | ~ c0_1(a2525)
    | ~ sP6_iProver_def
    | c1_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

cnf(c_17731,plain,
    ( ~ c3_1(a2556)
    | ~ c2_1(a2556)
    | ~ sP1_iProver_def
    | c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_17738,plain,
    ( ~ c3_1(a2521)
    | ~ c2_1(a2521)
    | ~ sP1_iProver_def
    | c0_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_17741,plain,
    ( ~ c0_1(a2552)
    | ~ sP15_iProver_def
    | c3_1(a2552)
    | c1_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17310]) ).

cnf(c_17742,plain,
    ( ~ c0_1(a2540)
    | ~ sP15_iProver_def
    | c3_1(a2540)
    | c1_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17310]) ).

cnf(c_17749,plain,
    ( ~ c1_1(a2614)
    | ~ sP26_iProver_def
    | c3_1(a2614)
    | c2_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17265]) ).

cnf(c_17761,plain,
    ( ~ c3_1(a2528)
    | ~ sP7_iProver_def
    | c2_1(a2528)
    | c0_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

cnf(c_17766,plain,
    ( ~ c2_1(a2523)
    | ~ c1_1(a2523)
    | ~ c0_1(a2523)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_17206]) ).

cnf(c_17783,plain,
    ( ~ sP29_iProver_def
    | c3_1(a2540)
    | c2_1(a2540)
    | c1_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17322]) ).

cnf(c_17794,plain,
    ( ~ c2_1(a2523)
    | ~ c1_1(a2523)
    | ~ sP23_iProver_def
    | c3_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

cnf(c_17797,plain,
    ( ~ c3_1(a2518)
    | ~ c2_1(a2518)
    | ~ sP1_iProver_def
    | c0_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_17799,plain,
    ( ~ c2_1(a2518)
    | ~ sP17_iProver_def
    | c3_1(a2518)
    | c0_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17220]) ).

cnf(c_17800,plain,
    ( ~ c2_1(a2518)
    | ~ c1_1(a2518)
    | ~ sP14_iProver_def
    | c0_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

cnf(c_17801,plain,
    ( ~ c2_1(a2518)
    | ~ c1_1(a2518)
    | ~ sP23_iProver_def
    | c3_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17278]) ).

cnf(c_17850,plain,
    ( ~ c2_1(a2526)
    | ~ c1_1(a2526)
    | ~ sP14_iProver_def
    | c0_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17300]) ).

cnf(c_17856,plain,
    ( ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ c0_1(a2556)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_17206]) ).

cnf(c_17857,plain,
    ( ~ c3_1(a2556)
    | ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_17274]) ).

cnf(c_17860,plain,
    ( ~ c3_1(a2556)
    | ~ c1_1(a2556)
    | ~ c0_1(a2556)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17193]) ).

cnf(c_17950,plain,
    ( ~ c2_1(a2553)
    | ~ c0_1(a2553)
    | ~ sP6_iProver_def
    | c1_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

cnf(c_17992,plain,
    ( ~ c2_1(a2525)
    | ~ c1_1(a2525)
    | ~ c0_1(a2525)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_17206]) ).

cnf(c_18018,plain,
    ( ~ c3_1(a2522)
    | ~ c2_1(a2522)
    | ~ sP1_iProver_def
    | c0_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_18027,plain,
    ( ~ c0_1(a2553)
    | ~ sP9_iProver_def
    | c2_1(a2553)
    | c1_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17314]) ).

cnf(c_18030,plain,
    ( ~ c0_1(a2540)
    | ~ sP9_iProver_def
    | c2_1(a2540)
    | c1_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17314]) ).

cnf(c_18037,plain,
    ( ~ c0_1(a2533)
    | ~ sP9_iProver_def
    | c2_1(a2533)
    | c1_1(a2533) ),
    inference(instantiation,[status(thm)],[c_17314]) ).

cnf(c_18074,plain,
    ( ~ c2_1(a2548)
    | ~ c0_1(a2548)
    | ~ sP6_iProver_def
    | c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17294]) ).

cnf(c_18080,plain,
    ( ~ c3_1(a2528)
    | ~ c2_1(a2528)
    | ~ sP1_iProver_def
    | c0_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_18085,plain,
    ( ~ c2_1(a2528)
    | ~ sP12_iProver_def
    | c1_1(a2528)
    | c0_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17271]) ).

cnf(c_18116,plain,
    ( ~ c3_1(a2541)
    | ~ sP4_iProver_def
    | c2_1(a2541)
    | c1_1(a2541) ),
    inference(instantiation,[status(thm)],[c_17247]) ).

cnf(c_18139,plain,
    ( ~ c2_1(a2555)
    | ~ sP16_iProver_def
    | c3_1(a2555)
    | c1_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17172]) ).

cnf(c_18140,plain,
    ( ~ c2_1(a2552)
    | ~ sP16_iProver_def
    | c3_1(a2552)
    | c1_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17172]) ).

cnf(c_18180,plain,
    ( ~ c3_1(a2524)
    | ~ c1_1(a2524)
    | ~ sP21_iProver_def
    | c2_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17244]) ).

cnf(c_18181,plain,
    ( ~ c3_1(a2524)
    | ~ c1_1(a2524)
    | ~ c0_1(a2524)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17193]) ).

cnf(c_18185,plain,
    ( ~ c3_1(a2524)
    | ~ sP7_iProver_def
    | c2_1(a2524)
    | c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17248]) ).

cnf(c_18256,plain,
    ( ~ c2_1(a2531)
    | ~ c0_1(a2531)
    | ~ sP11_iProver_def
    | c3_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17280]) ).

cnf(c_18280,plain,
    ( ~ c3_1(a2556)
    | ~ c1_1(a2556)
    | ~ sP24_iProver_def
    | c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17298]) ).

cnf(c_18282,plain,
    ( ~ c3_1(a2526)
    | ~ c1_1(a2526)
    | ~ sP24_iProver_def
    | c0_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17298]) ).

cnf(c_18283,plain,
    ( ~ c3_1(a2524)
    | ~ c1_1(a2524)
    | ~ sP24_iProver_def
    | c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17298]) ).

cnf(c_18288,plain,
    ( ~ c3_1(a2534)
    | ~ c1_1(a2534)
    | ~ sP21_iProver_def
    | c2_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17244]) ).

cnf(c_18305,plain,
    ( ~ c1_1(a2534)
    | ~ sP30_iProver_def
    | c2_1(a2534)
    | c0_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17318]) ).

cnf(c_18306,plain,
    ( ~ c1_1(a2526)
    | ~ sP30_iProver_def
    | c2_1(a2526)
    | c0_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17318]) ).

cnf(c_18309,plain,
    ( ~ c1_1(a2518)
    | ~ sP30_iProver_def
    | c2_1(a2518)
    | c0_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17318]) ).

cnf(c_18330,plain,
    ( ~ c1_1(a2539)
    | ~ sP30_iProver_def
    | c2_1(a2539)
    | c0_1(a2539) ),
    inference(instantiation,[status(thm)],[c_17318]) ).

cnf(c_18342,plain,
    ( ~ c3_1(a2524)
    | ~ c0_1(a2524)
    | ~ sP10_iProver_def
    | c2_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17226]) ).

cnf(c_18418,plain,
    ( ~ c0_1(a2548)
    | ~ sP9_iProver_def
    | c2_1(a2548)
    | c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17314]) ).

cnf(c_18429,plain,
    ( ~ c3_1(a2548)
    | ~ sP28_iProver_def
    | c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17238]) ).

cnf(c_18431,plain,
    ( ~ c3_1(a2539)
    | ~ sP28_iProver_def
    | c1_1(a2539) ),
    inference(instantiation,[status(thm)],[c_17238]) ).

cnf(c_18434,plain,
    ( ~ c3_1(a2521)
    | ~ sP28_iProver_def
    | c1_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17238]) ).

cnf(c_18438,plain,
    ( ~ c3_1(a2528)
    | ~ sP28_iProver_def
    | c1_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17238]) ).

cnf(c_18457,plain,
    ( ~ c3_1(a2545)
    | ~ c2_1(a2545)
    | ~ sP1_iProver_def
    | c0_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

cnf(c_18459,plain,
    ( ~ c2_1(a2545)
    | ~ sP17_iProver_def
    | c3_1(a2545)
    | c0_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17220]) ).

cnf(c_18572,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18457,c_18459,c_18438,c_18434,c_18431,c_18429,c_18418,c_18342,c_18330,c_18309,c_18306,c_18305,c_18288,c_18283,c_18282,c_18280,c_18256,c_18185,c_18180,c_18181,c_18140,c_18139,c_18116,c_18080,c_18085,c_18074,c_18037,c_18030,c_18027,c_18018,c_17992,c_17950,c_17856,c_17857,c_17860,c_17850,c_17797,c_17799,c_17800,c_17801,c_17794,c_17783,c_17766,c_17761,c_17749,c_17742,c_17741,c_17738,c_17731,c_17728,c_17724,c_17701,c_17699,c_17693,c_17673,c_17625,c_17624,c_17620,c_17618,c_17616,c_17614,c_17609,c_17600,c_17578,c_17577,c_17568,c_17567,c_17554,c_17553,c_17550,c_17532,c_17531,c_17530,c_17529,c_17525,c_17524,c_17516,c_17510,c_17499,c_17495,c_17493,c_17489,c_17487,c_17484,c_17477,c_17473,c_17472,c_17470,c_17468,c_17464,c_17463,c_17456,c_17437,c_17429,c_17428,c_17427,c_17424,c_17423,c_17321,c_17315,c_17307,c_17303,c_17301,c_17299,c_17295,c_17291,c_17289,c_17287,c_17281,c_17275,c_17267,c_17264,c_17255,c_17249,c_17246,c_17240,c_17237,c_17234,c_17216,c_17213,c_17210,c_17207,c_17204,c_17201,c_17198,c_17195,c_17192,c_17189,c_17183,c_17177,c_17173,c_17169,c_17165,c_17161,c_17157,c_17149,c_17141,c_17137,c_8762,c_8752,c_8340,c_8333,c_8326,c_5886,c_5869,c_5852,c_5370,c_5360,c_5350,c_3186,c_3176,c_3166,c_2547,c_2540,c_2533,c_2259,c_2249,c_2239,c_1905,c_1895,c_1885,c_141,c_142,c_153,c_161,c_162,c_165,c_169,c_170,c_173,c_177,c_181,c_182,c_185,c_186,c_189,c_190,c_193,c_194,c_195,c_197,c_198,c_205,c_209,c_210,c_213,c_217,c_221,c_225,c_229,c_233,c_237,c_238,c_239,c_241,c_242,c_250,c_251,c_133,c_134,c_135,c_143,c_154,c_155,c_163,c_166,c_167,c_171,c_174,c_175,c_178,c_179,c_183,c_187,c_191,c_199,c_206,c_207,c_211,c_214,c_215,c_218,c_219,c_222,c_223,c_226,c_227,c_230,c_231,c_234,c_235,c_243]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN489+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  2 21:05:58 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...
% 0.48/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16   gs_s  sp: 119 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 203
% 0.48/1.16  conjectures                             200
% 0.48/1.16  EPR                                     203
% 0.48/1.16  Horn                                    110
% 0.48/1.16  unary                                   0
% 0.48/1.16  binary                                  95
% 0.48/1.16  lits                                    546
% 0.48/1.16  lits eq                                 0
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 0
% 0.48/1.16  fd_pseudo_cond                          0
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule EPR non Horn non eq is on
% 0.48/1.16  
% 0.48/1.16  ------ no equalities: superposition off 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------