TSTP Solution File: SYN504+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN504+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:59 EDT 2023

% Result   : Theorem 3.59s 1.11s
% Output   : CNFRefutation 3.59s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f237)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp6
        | hskp4 )
      & ( hskp4
        | hskp11
        | hskp24 )
      & ( hskp6
        | hskp18
        | hskp21 )
      & ( hskp11
        | hskp8
        | hskp25 )
      & ( hskp16
        | hskp11
        | hskp15 )
      & ( hskp4
        | hskp27
        | hskp13 )
      & ( hskp11
        | hskp1
        | hskp17 )
      & ( hskp15
        | hskp13
        | hskp29 )
      & ( hskp11
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp10
        | hskp24
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp18
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp10
        | hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp30
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp20
        | hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp16
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp16
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp12
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp19
        | hskp2
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp28
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp25
        | hskp2
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp31
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp19
        | hskp24
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp23
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp31
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp8
        | hskp12
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | hskp3
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp8
        | hskp29
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp16
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp19
        | hskp9
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp6
        | hskp24
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp23
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp22
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp4
        | hskp21
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp0
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp16
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp10
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp15
        | hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp17
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp20
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp19
        | hskp28
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | c3_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp28
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp3
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp2
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp17
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp4
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp5
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp14
        | hskp1
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp30
        | hskp29
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp12
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp8
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c3_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp7
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp6
        | hskp5
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | hskp3
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp2
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp0
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a410)
          & c2_1(a410)
          & c0_1(a410)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a373)
          & c1_1(a373)
          & c0_1(a373)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a372)
          & c1_1(a372)
          & c0_1(a372)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a365)
          & c2_1(a365)
          & c1_1(a365)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a446)
          & c3_1(a446)
          & c2_1(a446)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a418)
          & ~ c2_1(a418)
          & c0_1(a418)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a417)
          & ~ c1_1(a417)
          & c0_1(a417)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a399)
          & ~ c0_1(a399)
          & c1_1(a399)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a398)
          & c3_1(a398)
          & c1_1(a398)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a397)
          & c2_1(a397)
          & c1_1(a397)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a395)
          & ~ c0_1(a395)
          & c1_1(a395)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a388)
          & ~ c2_1(a388)
          & c1_1(a388)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a387)
          & ~ c1_1(a387)
          & ~ c0_1(a387)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a382)
          & ~ c0_1(a382)
          & c3_1(a382)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a380)
          & c1_1(a380)
          & c0_1(a380)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a379)
          & ~ c1_1(a379)
          & c2_1(a379)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a376)
          & ~ c1_1(a376)
          & c0_1(a376)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a375)
          & ~ c0_1(a375)
          & c3_1(a375)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a370)
          & c2_1(a370)
          & c0_1(a370)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a369)
          & c3_1(a369)
          & c0_1(a369)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a368)
          & c3_1(a368)
          & c2_1(a368)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a366)
          & ~ c2_1(a366)
          & ~ c0_1(a366)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a364)
          & ~ c0_1(a364)
          & c2_1(a364)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a363)
          & c2_1(a363)
          & c1_1(a363)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a361)
          & ~ c1_1(a361)
          & c3_1(a361)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a360)
          & ~ c2_1(a360)
          & ~ c1_1(a360)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a359)
          & ~ c1_1(a359)
          & ~ c0_1(a359)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a357)
          & c3_1(a357)
          & c1_1(a357)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a356)
          & c2_1(a356)
          & c0_1(a356)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a355)
          & c3_1(a355)
          & c0_1(a355)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a353)
          & c1_1(a353)
          & c0_1(a353)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp6
          | hskp4 )
        & ( hskp4
          | hskp11
          | hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp11
          | hskp8
          | hskp25 )
        & ( hskp16
          | hskp11
          | hskp15 )
        & ( hskp4
          | hskp27
          | hskp13 )
        & ( hskp11
          | hskp1
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp29 )
        & ( hskp11
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | hskp24
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp18
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp10
          | hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp30
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp20
          | hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp16
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp16
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp12
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp19
          | hskp2
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp28
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp25
          | hskp2
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp31
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp19
          | hskp24
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp23
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp31
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp8
          | hskp12
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | hskp3
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp8
          | hskp29
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp16
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp19
          | hskp9
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp6
          | hskp24
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp23
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp22
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp4
          | hskp21
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp16
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp20
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp19
          | hskp28
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp3
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp2
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp5
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp14
          | hskp1
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp30
          | hskp29
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp12
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp7
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp6
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | hskp3
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a410)
            & c2_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a373)
            & c1_1(a373)
            & c0_1(a373)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & c0_1(a372)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a365)
            & c2_1(a365)
            & c1_1(a365)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a418)
            & ~ c2_1(a418)
            & c0_1(a418)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a399)
            & ~ c0_1(a399)
            & c1_1(a399)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a398)
            & c3_1(a398)
            & c1_1(a398)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a397)
            & c2_1(a397)
            & c1_1(a397)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a395)
            & ~ c0_1(a395)
            & c1_1(a395)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a388)
            & ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a387)
            & ~ c1_1(a387)
            & ~ c0_1(a387)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a382)
            & ~ c0_1(a382)
            & c3_1(a382)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a380)
            & c1_1(a380)
            & c0_1(a380)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a379)
            & ~ c1_1(a379)
            & c2_1(a379)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a376)
            & ~ c1_1(a376)
            & c0_1(a376)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a375)
            & ~ c0_1(a375)
            & c3_1(a375)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a370)
            & c2_1(a370)
            & c0_1(a370)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a369)
            & c3_1(a369)
            & c0_1(a369)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a368)
            & c3_1(a368)
            & c2_1(a368)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a366)
            & ~ c2_1(a366)
            & ~ c0_1(a366)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a364)
            & ~ c0_1(a364)
            & c2_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a363)
            & c2_1(a363)
            & c1_1(a363)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & c3_1(a361)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a360)
            & ~ c2_1(a360)
            & ~ c1_1(a360)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & c1_1(a357)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a356)
            & c2_1(a356)
            & c0_1(a356)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a355)
            & c3_1(a355)
            & c0_1(a355)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a353)
            & c1_1(a353)
            & c0_1(a353)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp6
          | hskp4 )
        & ( hskp4
          | hskp11
          | hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp11
          | hskp8
          | hskp25 )
        & ( hskp16
          | hskp11
          | hskp15 )
        & ( hskp4
          | hskp27
          | hskp13 )
        & ( hskp11
          | hskp1
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp29 )
        & ( hskp11
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp10
          | hskp24
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp18
          | hskp31
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp29
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp22
          | hskp30
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp20
          | hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp6
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | ~ c1_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp16
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp16
          | hskp17
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp12
          | hskp29
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp19
          | hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp26
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp25
          | hskp2
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp31
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp19
          | hskp24
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp23
          | hskp30
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp31
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp8
          | hskp12
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp19
          | hskp3
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp8
          | hskp29
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp16
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp19
          | hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp6
          | hskp24
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp23
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp22
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp4
          | hskp21
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp16
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp10
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp17
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp20
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp19
          | hskp28
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp28
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp3
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp11
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp18
          | hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp5
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp14
          | hskp1
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp30
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp13
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp12
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp11
          | hskp8
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp10
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp28
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp9
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp8
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp6
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | c2_1(X106)
                | c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp6
          | hskp5
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp4
          | hskp3
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp1
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c0_1(X118)
                | c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | c2_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( hskp0
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c2_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c3_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c3_1(a410)
            & c2_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a373)
            & c1_1(a373)
            & c0_1(a373)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & c0_1(a372)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a365)
            & c2_1(a365)
            & c1_1(a365)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a418)
            & ~ c2_1(a418)
            & c0_1(a418)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a399)
            & ~ c0_1(a399)
            & c1_1(a399)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a398)
            & c3_1(a398)
            & c1_1(a398)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a397)
            & c2_1(a397)
            & c1_1(a397)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a395)
            & ~ c0_1(a395)
            & c1_1(a395)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a388)
            & ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a387)
            & ~ c1_1(a387)
            & ~ c0_1(a387)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a382)
            & ~ c0_1(a382)
            & c3_1(a382)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a380)
            & c1_1(a380)
            & c0_1(a380)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a379)
            & ~ c1_1(a379)
            & c2_1(a379)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a376)
            & ~ c1_1(a376)
            & c0_1(a376)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a375)
            & ~ c0_1(a375)
            & c3_1(a375)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a370)
            & c2_1(a370)
            & c0_1(a370)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a369)
            & c3_1(a369)
            & c0_1(a369)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a368)
            & c3_1(a368)
            & c2_1(a368)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a366)
            & ~ c2_1(a366)
            & ~ c0_1(a366)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a364)
            & ~ c0_1(a364)
            & c2_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a363)
            & c2_1(a363)
            & c1_1(a363)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & c3_1(a361)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a360)
            & ~ c2_1(a360)
            & ~ c1_1(a360)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & c1_1(a357)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a356)
            & c2_1(a356)
            & c0_1(a356)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a355)
            & c3_1(a355)
            & c0_1(a355)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a353)
            & c1_1(a353)
            & c0_1(a353)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp6
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | ~ c1_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp16
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp28
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp26
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp31
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp31
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c2_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp16
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp23
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c0_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp22
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp0
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp16
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp10
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp17
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp20
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp28
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp3
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp11
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp16
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp4
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c1_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp5
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c1_1(X76)
            | c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp15
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c1_1(X82)
            | c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | ~ c1_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c3_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp13
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp12
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c3_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp10
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp28
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | ~ c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp9
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp8
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp6
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | c2_1(X106)
            | c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp7
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp2
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp1
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c0_1(X118)
            | c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | c2_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( hskp0
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c2_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c3_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X65] :
          ( ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | c2_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c0_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c3_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c3_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp31
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp29
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp22
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp17
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp29
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp2
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp2
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp3
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp21
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X65] :
          ( ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X80] :
          ( ~ c1_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp29
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c2_1(X83)
          | ~ c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c1_1(X85)
          | c3_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X89] :
          ( ~ c1_1(X89)
          | c3_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp8
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c1_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | c2_1(X106)
          | c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X108] :
          ( ~ c3_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X111] :
          ( c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c2_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c3_1(X118)
          | ~ c0_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c3_1(X119)
          | c2_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X121] :
          ( ~ c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c2_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( ! [X123] :
          ( ~ c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c3_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c1_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f16,plain,
    ( c0_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c2_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c1_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c3_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c0_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c2_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c0_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( ~ c1_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c2_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f51,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c2_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c2_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c3_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c3_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c2_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c1_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c2_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c2_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c1_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c0_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c1_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( c3_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c2_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c3_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c1_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c2_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c0_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c1_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c2_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f141,plain,
    ! [X111] :
      ( hskp4
      | hskp3
      | c2_1(X111)
      | c1_1(X111)
      | c0_1(X111)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f142,plain,
    ! [X110] :
      ( hskp6
      | hskp5
      | c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f169,plain,
    ! [X57] :
      ( hskp19
      | hskp28
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f176,plain,
    ! [X44] :
      ( hskp0
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X43] :
      ( hskp4
      | hskp21
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ! [X33] :
      ( hskp19
      | hskp3
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f190,plain,
    ! [X22] :
      ( hskp19
      | hskp24
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ! [X12] :
      ( hskp19
      | hskp2
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f203,plain,
    ! [X3] :
      ( hskp10
      | hskp29
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f208,plain,
    ( hskp11
    | hskp1
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f212,plain,
    ( hskp6
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f214,plain,
    ( hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_51,negated_conjecture,
    ( hskp6
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_55,negated_conjecture,
    ( hskp11
    | hskp1
    | hskp17 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp29
    | hskp10 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_67,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp19
    | hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp24
    | hskp19 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_77,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_79,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp3 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_81,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp4
    | hskp21 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_87,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp0 ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp10 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp20 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_94,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp19
    | hskp28 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_96,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_97,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_109,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_110,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp13 ),
    inference(cnf_transformation,[],[f242]) ).

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)
    | hskp12 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_118,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_119,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_121,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp5 ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_122,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp3 ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_125,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f254]) ).

cnf(c_126,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f255]) ).

cnf(c_127,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f256]) ).

cnf(c_128,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f257]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp29
    | c2_1(a372) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp29
    | c1_1(a372) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp29
    | c0_1(a372) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_141,negated_conjecture,
    ( ~ hskp28
    | c3_1(a365) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp28
    | c2_1(a365) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp28
    | c1_1(a365) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp24
    | c1_1(a399) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a398)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_162,negated_conjecture,
    ( ~ hskp23
    | c3_1(a398) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp23
    | c1_1(a398) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_170,negated_conjecture,
    ( ~ c0_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp21
    | c1_1(a395) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_173,negated_conjecture,
    ( ~ c3_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_174,negated_conjecture,
    ( ~ c2_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp20
    | c1_1(a388) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_177,negated_conjecture,
    ( ~ c2_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_178,negated_conjecture,
    ( ~ c1_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_179,negated_conjecture,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp18
    | c3_1(a382) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_188,negated_conjecture,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_190,negated_conjecture,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp16
    | c2_1(a379) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp13
    | c2_1(a370) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp13
    | c0_1(a370) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_205,negated_conjecture,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp12
    | c3_1(a369) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp12
    | c0_1(a369) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_212,negated_conjecture,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_214,negated_conjecture,
    ( ~ c2_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_230,negated_conjecture,
    ( ~ c2_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_231,negated_conjecture,
    ( ~ c1_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_234,negated_conjecture,
    ( ~ c1_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_237,negated_conjecture,
    ( ~ c3_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp4
    | c2_1(a358) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_241,negated_conjecture,
    ( ~ c0_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_242,negated_conjecture,
    ( ~ hskp3
    | c3_1(a357) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp3
    | c1_1(a357) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_245,negated_conjecture,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_246,negated_conjecture,
    ( ~ hskp2
    | c2_1(a356) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp2
    | c0_1(a356) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_252,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_253,negated_conjecture,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_254,negated_conjecture,
    ( ~ hskp0
    | c1_1(a353) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_255,negated_conjecture,
    ( ~ hskp0
    | c0_1(a353) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_256,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_293,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_256,c_252,c_212,c_188,c_55]) ).

cnf(c_357,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_252,c_212,c_188,c_55,c_122]) ).

cnf(c_360,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_252,c_212,c_188,c_55,c_121]) ).

cnf(c_381,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp19
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_252,c_212,c_188,c_55,c_94]) ).

cnf(c_384,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_252,c_212,c_188,c_55,c_87]) ).

cnf(c_385,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_384]) ).

cnf(c_396,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_252,c_212,c_188,c_55,c_79]) ).

cnf(c_405,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_252,c_212,c_188,c_55,c_86]) ).

cnf(c_406,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp21 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_414,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_252,c_212,c_188,c_55,c_73]) ).

cnf(c_415,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp24
    | hskp19 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_417,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp19
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_252,c_212,c_188,c_55,c_67]) ).

cnf(c_418,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp19
    | hskp2 ),
    inference(renaming,[status(thm)],[c_417]) ).

cnf(c_435,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp29
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_252,c_212,c_188,c_55,c_60]) ).

cnf(c_436,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp29
    | hskp10 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_252,c_212,c_188,c_55,c_127]) ).

cnf(c_451,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_252,c_212,c_188,c_55,c_111]) ).

cnf(c_454,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_252,c_212,c_188,c_55,c_125]) ).

cnf(c_455,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_454]) ).

cnf(c_456,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_252,c_212,c_188,c_55,c_113]) ).

cnf(c_457,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_458,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_252,c_212,c_188,c_55,c_109]) ).

cnf(c_459,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_463,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_252,c_212,c_188,c_55,c_97]) ).

cnf(c_464,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_465,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_252,c_212,c_188,c_55,c_93]) ).

cnf(c_466,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_469,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_252,c_212,c_188,c_55,c_117]) ).

cnf(c_470,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_474,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_252,c_212,c_188,c_55,c_110]) ).

cnf(c_475,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_480,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_252,c_212,c_188,c_55,c_96]) ).

cnf(c_481,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_480]) ).

cnf(c_482,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_252,c_212,c_188,c_55,c_89]) ).

cnf(c_483,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_484,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_252,c_212,c_188,c_55,c_84]) ).

cnf(c_485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_487,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_252,c_212,c_188,c_55,c_81]) ).

cnf(c_488,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_499,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_252,c_212,c_188,c_55,c_101,c_88]) ).

cnf(c_509,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_499]) ).

cnf(c_510,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_509]) ).

cnf(c_515,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_252,c_212,c_188,c_55,c_128]) ).

cnf(c_517,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_126,c_252,c_212,c_188,c_55,c_126]) ).

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

cnf(c_519,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_252,c_212,c_188,c_55,c_119]) ).

cnf(c_520,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_519]) ).

cnf(c_521,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_252,c_212,c_188,c_55,c_118]) ).

cnf(c_522,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_521]) ).

cnf(c_523,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_252,c_212,c_188,c_55,c_108]) ).

cnf(c_524,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_523]) ).

cnf(c_525,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_252,c_212,c_188,c_55,c_92]) ).

cnf(c_526,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_525]) ).

cnf(c_527,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_252,c_212,c_188,c_55,c_78]) ).

cnf(c_528,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_527]) ).

cnf(c_529,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_252,c_212,c_188,c_55,c_69]) ).

cnf(c_530,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_529]) ).

cnf(c_531,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_252,c_212,c_188,c_55,c_95]) ).

cnf(c_532,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_531]) ).

cnf(c_533,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_103,c_293]) ).

cnf(c_534,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_533]) ).

cnf(c_535,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_252,c_212,c_188,c_55,c_77]) ).

cnf(c_536,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_535]) ).

cnf(c_2490,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(a398) ),
    inference(resolution,[status(thm)],[c_485,c_163]) ).

cnf(c_2491,plain,
    ( ~ c3_1(a353)
    | ~ c0_1(a353)
    | c2_1(a353)
    | c1_1(a398)
    | c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_2490]) ).

cnf(c_2513,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(a398) ),
    inference(resolution,[status(thm)],[c_485,c_162]) ).

cnf(c_2514,plain,
    ( ~ c3_1(a353)
    | ~ c0_1(a353)
    | c3_1(a398)
    | c2_1(a353)
    | c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_2513]) ).

cnf(c_2536,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(a398)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(resolution,[status(thm)],[c_485,c_161]) ).

cnf(c_2537,plain,
    ( ~ c3_1(a353)
    | ~ c2_1(a398)
    | ~ c0_1(a353)
    | c2_1(a353)
    | c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_2536]) ).

cnf(c_3054,plain,
    ( c3_1(a382)
    | hskp6
    | hskp21 ),
    inference(resolution,[status(thm)],[c_51,c_183]) ).

cnf(c_3064,plain,
    ( ~ c0_1(a382)
    | hskp6
    | hskp21 ),
    inference(resolution,[status(thm)],[c_51,c_182]) ).

cnf(c_3074,plain,
    ( ~ c2_1(a382)
    | hskp6
    | hskp21 ),
    inference(resolution,[status(thm)],[c_51,c_181]) ).

cnf(c_8526,plain,
    ( ~ c1_1(a360)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_231]) ).

cnf(c_8533,plain,
    ( ~ c2_1(a360)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_230]) ).

cnf(c_8540,plain,
    ( ~ c3_1(a360)
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_229]) ).

cnf(c_8988,plain,
    ( c2_1(a358)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_49,c_239]) ).

cnf(c_8995,plain,
    ( ~ c0_1(a358)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_49,c_238]) ).

cnf(c_9002,plain,
    ( ~ c3_1(a358)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_49,c_237]) ).

cnf(c_17494,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_536]) ).

cnf(c_17495,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_536]) ).

cnf(c_17496,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_536]) ).

cnf(c_17497,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).

cnf(c_17498,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_534]) ).

cnf(c_17499,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_534]) ).

cnf(c_17500,negated_conjecture,
    ( sP0_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

cnf(c_17501,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_532]) ).

cnf(c_17502,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_532]) ).

cnf(c_17503,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_532]) ).

cnf(c_17504,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).

cnf(c_17505,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_530]) ).

cnf(c_17506,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_530]) ).

cnf(c_17507,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_530]) ).

cnf(c_17508,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).

cnf(c_17509,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_528]) ).

cnf(c_17510,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_528]) ).

cnf(c_17512,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_526]) ).

cnf(c_17515,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_524]) ).

cnf(c_17516,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_524]) ).

cnf(c_17517,negated_conjecture,
    ( sP10_iProver_split
    | sP15_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_524]) ).

cnf(c_17518,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_522]) ).

cnf(c_17519,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_522]) ).

cnf(c_17520,negated_conjecture,
    ( sP9_iProver_split
    | sP17_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

cnf(c_17521,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_520]) ).

cnf(c_17522,negated_conjecture,
    ( sP10_iProver_split
    | sP18_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_520]) ).

cnf(c_17523,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_518]) ).

cnf(c_17524,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_518]) ).

cnf(c_17525,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_518]) ).

cnf(c_17526,negated_conjecture,
    ( sP20_iProver_split
    | sP21_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

cnf(c_17527,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_515]) ).

cnf(c_17528,negated_conjecture,
    ( sP18_iProver_split
    | sP21_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

cnf(c_17534,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_510]) ).

cnf(c_17535,negated_conjecture,
    ( hskp16
    | sP7_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

cnf(c_17543,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_488]) ).

cnf(c_17544,negated_conjecture,
    ( hskp16
    | sP11_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_17546,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_483]) ).

cnf(c_17547,negated_conjecture,
    ( hskp10
    | sP9_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

cnf(c_17548,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_481]) ).

cnf(c_17553,negated_conjecture,
    ( hskp13
    | sP7_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

cnf(c_17555,negated_conjecture,
    ( hskp6
    | sP23_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_17557,negated_conjecture,
    ( hskp20
    | sP13_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_17558,negated_conjecture,
    ( hskp3
    | sP27_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_17560,negated_conjecture,
    ( hskp4
    | sP16_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

cnf(c_17561,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_split])],[c_457]) ).

cnf(c_17563,negated_conjecture,
    ( hskp0
    | sP15_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

cnf(c_17564,negated_conjecture,
    ( hskp12
    | sP9_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_17567,negated_conjecture,
    ( hskp0
    | sP21_iProver_split
    | sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_17570,negated_conjecture,
    ( hskp29
    | hskp10
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_17576,negated_conjecture,
    ( hskp19
    | hskp2
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

cnf(c_17577,negated_conjecture,
    ( hskp24
    | hskp19
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_17580,negated_conjecture,
    ( hskp4
    | hskp21
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

cnf(c_17583,negated_conjecture,
    ( hskp19
    | hskp3
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

cnf(c_17587,negated_conjecture,
    ( hskp19
    | hskp28
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

cnf(c_17592,negated_conjecture,
    ( hskp6
    | hskp5
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

cnf(c_17593,negated_conjecture,
    ( hskp4
    | hskp3
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

cnf(c_17602,plain,
    ( ~ c1_1(a353)
    | ~ sP9_iProver_split
    | c3_1(a353)
    | c2_1(a353) ),
    inference(instantiation,[status(thm)],[c_17506]) ).

cnf(c_17612,plain,
    ( ~ c1_1(a353)
    | ~ c0_1(a353)
    | ~ sP8_iProver_split
    | c2_1(a353) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

cnf(c_17613,plain,
    ( ~ c3_1(a353)
    | ~ c1_1(a353)
    | ~ sP10_iProver_split
    | c2_1(a353) ),
    inference(instantiation,[status(thm)],[c_17507]) ).

cnf(c_17618,plain,
    ( ~ c3_1(a353)
    | ~ c0_1(a353)
    | ~ sP22_iProver_split
    | c2_1(a353) ),
    inference(instantiation,[status(thm)],[c_17525]) ).

cnf(c_17627,plain,
    ( ~ c3_1(a365)
    | ~ c1_1(a365)
    | ~ c0_1(a365)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_17494]) ).

cnf(c_17632,plain,
    ( ~ c2_1(a379)
    | ~ sP1_iProver_split
    | c3_1(a379)
    | c1_1(a379) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17641,plain,
    ( ~ c2_1(a372)
    | ~ c0_1(a372)
    | ~ sP5_iProver_split
    | c3_1(a372) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

cnf(c_17644,plain,
    ( ~ c2_1(a379)
    | ~ c0_1(a379)
    | ~ sP5_iProver_split
    | c3_1(a379) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

cnf(c_17645,plain,
    ( ~ c2_1(a370)
    | ~ c0_1(a370)
    | ~ sP5_iProver_split
    | c3_1(a370) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

cnf(c_17650,plain,
    ( ~ c2_1(a356)
    | ~ c0_1(a356)
    | ~ sP5_iProver_split
    | c3_1(a356) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

cnf(c_17653,plain,
    ( ~ c3_1(a398)
    | ~ c1_1(a398)
    | ~ sP10_iProver_split
    | c2_1(a398) ),
    inference(instantiation,[status(thm)],[c_17507]) ).

cnf(c_17655,plain,
    ( ~ c3_1(a357)
    | ~ c1_1(a357)
    | ~ sP10_iProver_split
    | c2_1(a357) ),
    inference(instantiation,[status(thm)],[c_17507]) ).

cnf(c_17661,plain,
    ( ~ sP18_iProver_split
    | c3_1(a359)
    | c1_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

cnf(c_17662,plain,
    ( ~ sP18_iProver_split
    | c3_1(a358)
    | c1_1(a358)
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

cnf(c_17664,plain,
    ( ~ sP20_iProver_split
    | c3_1(a399)
    | c2_1(a399)
    | c0_1(a399) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

cnf(c_17666,plain,
    ( ~ sP20_iProver_split
    | c3_1(a366)
    | c2_1(a366)
    | c0_1(a366) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

cnf(c_17668,plain,
    ( ~ sP20_iProver_split
    | c3_1(a359)
    | c2_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

cnf(c_17673,plain,
    ( ~ c2_1(a365)
    | ~ c1_1(a365)
    | ~ c0_1(a365)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_17498]) ).

cnf(c_17684,plain,
    ( ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ c0_1(a365)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17496]) ).

cnf(c_17692,plain,
    ( ~ c3_1(a356)
    | ~ c2_1(a356)
    | ~ c0_1(a356)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17496]) ).

cnf(c_17699,plain,
    ( ~ c3_1(a356)
    | ~ c2_1(a356)
    | ~ sP12_iProver_split
    | c1_1(a356) ),
    inference(instantiation,[status(thm)],[c_17510]) ).

cnf(c_17705,plain,
    ( ~ sP20_iProver_split
    | c3_1(a395)
    | c2_1(a395)
    | c0_1(a395) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

cnf(c_17709,plain,
    ( ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ c1_1(a365)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_17503]) ).

cnf(c_17720,plain,
    ( ~ c1_1(a388)
    | ~ sP9_iProver_split
    | c3_1(a388)
    | c2_1(a388) ),
    inference(instantiation,[status(thm)],[c_17506]) ).

cnf(c_17748,plain,
    ( ~ c1_1(a395)
    | ~ sP16_iProver_split
    | c2_1(a395)
    | c0_1(a395) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

cnf(c_17750,plain,
    ( ~ c1_1(a357)
    | ~ sP16_iProver_split
    | c2_1(a357)
    | c0_1(a357) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

cnf(c_17760,plain,
    ( ~ c2_1(a359)
    | ~ sP23_iProver_split
    | c1_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17527]) ).

cnf(c_17762,plain,
    ( ~ c3_1(a372)
    | ~ c1_1(a372)
    | ~ c0_1(a372)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_17494]) ).

cnf(c_17773,plain,
    ( ~ c3_1(a357)
    | ~ c2_1(a357)
    | c0_1(a357)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_17783,plain,
    ( ~ c2_1(a358)
    | ~ sP1_iProver_split
    | c3_1(a358)
    | c1_1(a358) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17789,plain,
    ( ~ sP18_iProver_split
    | c3_1(a387)
    | c1_1(a387)
    | c0_1(a387) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

cnf(c_17791,plain,
    ( ~ sP21_iProver_split
    | c2_1(a387)
    | c1_1(a387)
    | c0_1(a387) ),
    inference(instantiation,[status(thm)],[c_17524]) ).

cnf(c_17797,plain,
    ( ~ c3_1(a357)
    | ~ c1_1(a357)
    | ~ sP13_iProver_split
    | c0_1(a357) ),
    inference(instantiation,[status(thm)],[c_17512]) ).

cnf(c_17844,plain,
    ( ~ c0_1(a360)
    | ~ sP27_iProver_split
    | c3_1(a360)
    | c1_1(a360) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

cnf(c_17872,plain,
    ( ~ c1_1(a358)
    | ~ sP29_iProver_split
    | c3_1(a358)
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

cnf(c_17876,plain,
    ( ~ c2_1(a358)
    | ~ sP23_iProver_split
    | c1_1(a358)
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17527]) ).

cnf(c_17878,plain,
    ( ~ c2_1(a358)
    | ~ sP6_iProver_split
    | c3_1(a358)
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17502]) ).

cnf(c_17927,plain,
    ( ~ c1_1(a388)
    | ~ sP29_iProver_split
    | c3_1(a388)
    | c0_1(a388) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

cnf(c_17956,plain,
    ( ~ sP21_iProver_split
    | c2_1(a360)
    | c1_1(a360)
    | c0_1(a360) ),
    inference(instantiation,[status(thm)],[c_17524]) ).

cnf(c_17961,plain,
    ( ~ sP20_iProver_split
    | c3_1(a360)
    | c2_1(a360)
    | c0_1(a360) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

cnf(c_17994,plain,
    ( ~ c2_1(a379)
    | ~ sP23_iProver_split
    | c1_1(a379)
    | c0_1(a379) ),
    inference(instantiation,[status(thm)],[c_17527]) ).

cnf(c_18112,plain,
    ( ~ c1_1(a366)
    | ~ sP29_iProver_split
    | c3_1(a366)
    | c0_1(a366) ),
    inference(instantiation,[status(thm)],[c_17548]) ).

cnf(c_18114,plain,
    ( ~ sP21_iProver_split
    | c2_1(a366)
    | c1_1(a366)
    | c0_1(a366) ),
    inference(instantiation,[status(thm)],[c_17524]) ).

cnf(c_18117,plain,
    ( ~ c1_1(a366)
    | ~ sP16_iProver_split
    | c2_1(a366)
    | c0_1(a366) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

cnf(c_18172,plain,
    ( ~ sP19_iProver_split
    | c3_1(a360)
    | c2_1(a360)
    | c1_1(a360) ),
    inference(instantiation,[status(thm)],[c_17521]) ).

cnf(c_18186,plain,
    ( ~ c3_1(a395)
    | ~ sP4_iProver_split
    | c2_1(a395)
    | c0_1(a395) ),
    inference(instantiation,[status(thm)],[c_17499]) ).

cnf(c_18238,plain,
    ( ~ c3_1(a369)
    | ~ c0_1(a369)
    | ~ sP22_iProver_split
    | c2_1(a369) ),
    inference(instantiation,[status(thm)],[c_17525]) ).

cnf(c_18276,plain,
    ( ~ c2_1(a365)
    | ~ c1_1(a365)
    | ~ sP15_iProver_split
    | c0_1(a365) ),
    inference(instantiation,[status(thm)],[c_17515]) ).

cnf(c_18321,plain,
    ( ~ c2_1(a357)
    | ~ c1_1(a357)
    | ~ sP15_iProver_split
    | c0_1(a357) ),
    inference(instantiation,[status(thm)],[c_17515]) ).

cnf(c_18334,plain,
    ( ~ c3_1(a387)
    | ~ sP31_iProver_split
    | c1_1(a387)
    | c0_1(a387) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

cnf(c_18382,plain,
    ( ~ c2_1(a358)
    | ~ c1_1(a358)
    | ~ sP15_iProver_split
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17515]) ).

cnf(c_18561,plain,
    ( ~ c3_1(a365)
    | ~ sP24_iProver_split
    | c0_1(a365) ),
    inference(instantiation,[status(thm)],[c_17534]) ).

cnf(c_18597,plain,
    ( ~ c0_1(a360)
    | ~ sP17_iProver_split
    | c2_1(a360)
    | c1_1(a360) ),
    inference(instantiation,[status(thm)],[c_17518]) ).

cnf(c_18618,plain,
    ( ~ c3_1(a357)
    | ~ c2_1(a357)
    | ~ sP28_iProver_split
    | c0_1(a357) ),
    inference(instantiation,[status(thm)],[c_17546]) ).

cnf(c_18619,plain,
    ( ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ sP28_iProver_split
    | c0_1(a365) ),
    inference(instantiation,[status(thm)],[c_17546]) ).

cnf(c_18649,plain,
    ( ~ c2_1(a399)
    | ~ c1_1(a399)
    | ~ sP11_iProver_split
    | c3_1(a399) ),
    inference(instantiation,[status(thm)],[c_17509]) ).

cnf(c_18807,plain,
    ( ~ c1_1(a388)
    | ~ c0_1(a388)
    | ~ sP8_iProver_split
    | c2_1(a388) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

cnf(c_18836,plain,
    ( ~ c3_1(a382)
    | ~ sP4_iProver_split
    | c2_1(a382)
    | c0_1(a382) ),
    inference(instantiation,[status(thm)],[c_17499]) ).

cnf(c_18910,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18836,c_18807,c_18649,c_18619,c_18618,c_18597,c_18561,c_18382,c_18334,c_18321,c_18276,c_18238,c_18186,c_18172,c_18112,c_18114,c_18117,c_17994,c_17956,c_17961,c_17927,c_17872,c_17876,c_17878,c_17844,c_17797,c_17791,c_17789,c_17783,c_17773,c_17762,c_17760,c_17750,c_17748,c_17720,c_17709,c_17705,c_17699,c_17692,c_17684,c_17673,c_17668,c_17666,c_17664,c_17662,c_17661,c_17655,c_17653,c_17650,c_17645,c_17644,c_17641,c_17632,c_17627,c_17618,c_17613,c_17612,c_17602,c_17593,c_17592,c_17587,c_17583,c_17580,c_17577,c_17576,c_17570,c_17567,c_17564,c_17563,c_17560,c_17558,c_17557,c_17555,c_17553,c_17547,c_17544,c_17535,c_17528,c_17526,c_17522,c_17520,c_17517,c_17508,c_17504,c_17500,c_17497,c_9002,c_8995,c_8988,c_8540,c_8533,c_8526,c_3074,c_3064,c_3054,c_2537,c_2514,c_2491,c_157,c_158,c_169,c_170,c_173,c_174,c_177,c_178,c_179,c_189,c_190,c_201,c_205,c_213,c_214,c_215,c_229,c_230,c_231,c_233,c_234,c_235,c_237,c_238,c_241,c_245,c_253,c_137,c_138,c_139,c_141,c_142,c_143,c_159,c_171,c_175,c_191,c_202,c_203,c_206,c_207,c_239,c_242,c_243,c_246,c_247,c_254,c_255,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN504+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 19:51:39 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.59/1.11  % SZS status Started for theBenchmark.p
% 3.59/1.11  % SZS status Theorem for theBenchmark.p
% 3.59/1.11  
% 3.59/1.11  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.59/1.11  
% 3.59/1.11  ------  iProver source info
% 3.59/1.11  
% 3.59/1.11  git: date: 2023-05-31 18:12:56 +0000
% 3.59/1.11  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.59/1.11  git: non_committed_changes: false
% 3.59/1.11  git: last_make_outside_of_git: false
% 3.59/1.11  
% 3.59/1.11  ------ Parsing...
% 3.59/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.59/1.11  
% 3.59/1.11  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.59/1.11   gs_s  sp: 120 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.59/1.11  ------ Proving...
% 3.59/1.11  ------ Problem Properties 
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  clauses                                 207
% 3.59/1.11  conjectures                             204
% 3.59/1.11  EPR                                     207
% 3.59/1.11  Horn                                    111
% 3.59/1.11  unary                                   0
% 3.59/1.11  binary                                  94
% 3.59/1.11  lits                                    563
% 3.59/1.11  lits eq                                 0
% 3.59/1.11  fd_pure                                 0
% 3.59/1.11  fd_pseudo                               0
% 3.59/1.11  fd_cond                                 0
% 3.59/1.11  fd_pseudo_cond                          0
% 3.59/1.11  AC symbols                              0
% 3.59/1.11  
% 3.59/1.11  ------ Schedule EPR non Horn non eq is on
% 3.59/1.11  
% 3.59/1.11  ------ no equalities: superposition off 
% 3.59/1.11  
% 3.59/1.11  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  ------ 
% 3.59/1.11  Current options:
% 3.59/1.11  ------ 
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  ------ Proving...
% 3.59/1.11  
% 3.59/1.11  
% 3.59/1.11  % SZS status Theorem for theBenchmark.p
% 3.59/1.11  
% 3.59/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.11  
% 3.59/1.11  
%------------------------------------------------------------------------------