TSTP Solution File: SYN511+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 03:08:05 EDT 2023

% Result   : Theorem 3.48s 1.14s
% Output   : CNFRefutation 3.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f222)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp25
        | hskp7 )
      & ( hskp0
        | hskp8
        | hskp22 )
      & ( hskp16
        | hskp0
        | hskp29 )
      & ( hskp4
        | hskp18
        | hskp24 )
      & ( hskp2
        | hskp21
        | hskp11 )
      & ( hskp12
        | hskp26
        | hskp30 )
      & ( hskp25
        | hskp12
        | hskp13 )
      & ( hskp9
        | hskp19
        | hskp28 )
      & ( hskp11
        | hskp30
        | hskp28 )
      & ( hskp18
        | hskp24
        | hskp27 )
      & ( hskp16
        | hskp23
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c2_1(X126)
              | ~ c1_1(X126) ) ) )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp5
        | hskp9
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp21
        | hskp1
        | ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c1_1(X122)
              | c3_1(X122) ) ) )
      & ( hskp21
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c0_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp24
        | hskp14
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp17
        | hskp14
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | c2_1(X118) ) ) )
      & ( hskp10
        | hskp28
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | c2_1(X117) ) ) )
      & ( hskp4
        | hskp15
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp5
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp19
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c0_1(X113)
              | c1_1(X113) ) ) )
      & ( hskp23
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | c1_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( hskp1
        | hskp27
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | c1_1(X110) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | c3_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp13
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | c1_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp15
        | hskp29
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp19
        | hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c1_1(X103) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp0
        | hskp20
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | c2_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp16
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | c2_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp10
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp2
        | hskp9
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp22
        | hskp21
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp15
        | hskp1
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp13
        | hskp20
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp19
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c2_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp6
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | hskp11
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp4
        | hskp6
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp16
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp3
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp15
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp10
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp27
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp1
        | hskp14
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp10
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c3_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp4
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp12
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | ~ c0_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp8
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp0
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c2_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp9
        | hskp13
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp7
        | hskp28
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp12
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp11
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_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)
              | ~ c0_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | hskp10
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp9
        | hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp28
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c3_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp5
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp7
        | hskp6
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp5
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | ~ c0_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a753)
          & c2_1(a753)
          & c0_1(a753)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a725)
          & c2_1(a725)
          & c1_1(a725)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a678)
          & c1_1(a678)
          & c0_1(a678)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a676)
          & c1_1(a676)
          & c0_1(a676)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a762)
          & ~ c0_1(a762)
          & c1_1(a762)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a760)
          & ~ c1_1(a760)
          & ~ c0_1(a760)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a731)
          & ~ c1_1(a731)
          & c0_1(a731)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a730)
          & c2_1(a730)
          & c0_1(a730)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a716)
          & c2_1(a716)
          & c1_1(a716)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a715)
          & ~ c2_1(a715)
          & c0_1(a715)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a711)
          & c1_1(a711)
          & c0_1(a711)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a710)
          & c2_1(a710)
          & c1_1(a710)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a708)
          & ~ c1_1(a708)
          & c3_1(a708)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a703)
          & ~ c0_1(a703)
          & c1_1(a703)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a702)
          & c3_1(a702)
          & c2_1(a702)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a700)
          & ~ c0_1(a700)
          & c2_1(a700)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a696)
          & c2_1(a696)
          & c0_1(a696)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a688)
          & c1_1(a688)
          & c0_1(a688)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a684)
          & ~ c0_1(a684)
          & c3_1(a684)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a683)
          & c3_1(a683)
          & c0_1(a683)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a681)
          & c3_1(a681)
          & c2_1(a681)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a680)
          & ~ c1_1(a680)
          & c2_1(a680)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a679)
          & c3_1(a679)
          & c1_1(a679)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a675)
          & c3_1(a675)
          & c1_1(a675)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a674)
          & c3_1(a674)
          & c0_1(a674)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a673)
          & ~ c2_1(a673)
          & ~ c0_1(a673)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a672)
          & ~ c1_1(a672)
          & ~ c0_1(a672)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a671)
          & ~ c0_1(a671)
          & c2_1(a671)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a670)
          & ~ c0_1(a670)
          & c3_1(a670)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a669)
          & ~ c1_1(a669)
          & c0_1(a669)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a668)
          & ~ c2_1(a668)
          & c1_1(a668)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp25
          | hskp7 )
        & ( hskp0
          | hskp8
          | hskp22 )
        & ( hskp16
          | hskp0
          | hskp29 )
        & ( hskp4
          | hskp18
          | hskp24 )
        & ( hskp2
          | hskp21
          | hskp11 )
        & ( hskp12
          | hskp26
          | hskp30 )
        & ( hskp25
          | hskp12
          | hskp13 )
        & ( hskp9
          | hskp19
          | hskp28 )
        & ( hskp11
          | hskp30
          | hskp28 )
        & ( hskp18
          | hskp24
          | hskp27 )
        & ( hskp16
          | hskp23
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp5
          | hskp9
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp21
          | hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | c3_1(X122) ) ) )
        & ( hskp21
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp24
          | hskp14
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp17
          | hskp14
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( hskp10
          | hskp28
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c2_1(X117) ) ) )
        & ( hskp4
          | hskp15
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp5
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp19
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c0_1(X113)
                | c1_1(X113) ) ) )
        & ( hskp23
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | c1_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( hskp1
          | hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c1_1(X110) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp13
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | c1_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp15
          | hskp29
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp19
          | hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp0
          | hskp20
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp16
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp10
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp2
          | hskp9
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp22
          | hskp21
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp15
          | hskp1
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp13
          | hskp20
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp6
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | hskp11
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp4
          | hskp6
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp16
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp3
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp15
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp10
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp1
          | hskp14
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp10
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp12
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp8
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp9
          | hskp13
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp7
          | hskp28
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp11
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_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)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp9
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c3_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp7
          | hskp6
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp5
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c0_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a753)
            & c2_1(a753)
            & c0_1(a753)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a725)
            & c2_1(a725)
            & c1_1(a725)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a678)
            & c1_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a762)
            & ~ c0_1(a762)
            & c1_1(a762)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a760)
            & ~ c1_1(a760)
            & ~ c0_1(a760)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a731)
            & ~ c1_1(a731)
            & c0_1(a731)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a730)
            & c2_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c1_1(a716)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a715)
            & ~ c2_1(a715)
            & c0_1(a715)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a711)
            & c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a710)
            & c2_1(a710)
            & c1_1(a710)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a708)
            & ~ c1_1(a708)
            & c3_1(a708)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a703)
            & ~ c0_1(a703)
            & c1_1(a703)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a702)
            & c3_1(a702)
            & c2_1(a702)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a700)
            & ~ c0_1(a700)
            & c2_1(a700)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a696)
            & c2_1(a696)
            & c0_1(a696)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a688)
            & c1_1(a688)
            & c0_1(a688)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a684)
            & ~ c0_1(a684)
            & c3_1(a684)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a683)
            & c3_1(a683)
            & c0_1(a683)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a681)
            & c3_1(a681)
            & c2_1(a681)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a680)
            & ~ c1_1(a680)
            & c2_1(a680)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a679)
            & c3_1(a679)
            & c1_1(a679)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a675)
            & c3_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a674)
            & c3_1(a674)
            & c0_1(a674)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a673)
            & ~ c2_1(a673)
            & ~ c0_1(a673)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a672)
            & ~ c1_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a671)
            & ~ c0_1(a671)
            & c2_1(a671)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a670)
            & ~ c0_1(a670)
            & c3_1(a670)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a669)
            & ~ c1_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a668)
            & ~ c2_1(a668)
            & c1_1(a668)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp5
          | hskp25
          | hskp7 )
        & ( hskp0
          | hskp8
          | hskp22 )
        & ( hskp16
          | hskp0
          | hskp29 )
        & ( hskp4
          | hskp18
          | hskp24 )
        & ( hskp2
          | hskp21
          | hskp11 )
        & ( hskp12
          | hskp26
          | hskp30 )
        & ( hskp25
          | hskp12
          | hskp13 )
        & ( hskp9
          | hskp19
          | hskp28 )
        & ( hskp11
          | hskp30
          | hskp28 )
        & ( hskp18
          | hskp24
          | hskp27 )
        & ( hskp16
          | hskp23
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp5
          | hskp9
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp21
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp21
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp24
          | hskp14
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp17
          | hskp14
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp10
          | hskp28
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp4
          | hskp15
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp5
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp19
          | hskp24
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp23
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp1
          | hskp27
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c3_1(X16)
                | c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp13
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp15
          | hskp29
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp19
          | hskp20
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp0
          | hskp20
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp16
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp2
          | hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp22
          | hskp21
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp15
          | hskp1
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp13
          | hskp20
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp19
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp6
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c0_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp16
          | hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp4
          | hskp6
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp17
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp16
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp3
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp15
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp27
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp1
          | hskp14
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp8
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp0
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp7
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp9
          | hskp13
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c2_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp7
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | c2_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp6
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c2_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp12
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp11
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp2
          | hskp10
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp9
          | hskp8
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | c3_1(X114)
                | c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp5
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c2_1(X116)
                | c1_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( hskp27
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | c2_1(X118)
                | c0_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp7
          | hskp6
          | ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( hskp5
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | c3_1(X121)
                | c1_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | c1_1(X122)
                | c0_1(X122) ) ) )
        & ( hskp4
          | hskp3
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp2
          | hskp1
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) ) )
        & ( hskp0
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c0_1(X125)
                | c2_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c2_1(X126)
                | c1_1(X126)
                | c0_1(X126) ) ) )
        & ( ( c3_1(a753)
            & c2_1(a753)
            & c0_1(a753)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a725)
            & c2_1(a725)
            & c1_1(a725)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a678)
            & c1_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a762)
            & ~ c0_1(a762)
            & c1_1(a762)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a760)
            & ~ c1_1(a760)
            & ~ c0_1(a760)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a731)
            & ~ c1_1(a731)
            & c0_1(a731)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a730)
            & c2_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c1_1(a716)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a715)
            & ~ c2_1(a715)
            & c0_1(a715)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a711)
            & c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a710)
            & c2_1(a710)
            & c1_1(a710)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a708)
            & ~ c1_1(a708)
            & c3_1(a708)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a703)
            & ~ c0_1(a703)
            & c1_1(a703)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a702)
            & c3_1(a702)
            & c2_1(a702)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a700)
            & ~ c0_1(a700)
            & c2_1(a700)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a696)
            & c2_1(a696)
            & c0_1(a696)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a688)
            & c1_1(a688)
            & c0_1(a688)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a684)
            & ~ c0_1(a684)
            & c3_1(a684)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a683)
            & c3_1(a683)
            & c0_1(a683)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a681)
            & c3_1(a681)
            & c2_1(a681)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a680)
            & ~ c1_1(a680)
            & c2_1(a680)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a679)
            & c3_1(a679)
            & c1_1(a679)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a675)
            & c3_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a674)
            & c3_1(a674)
            & c0_1(a674)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a673)
            & ~ c2_1(a673)
            & ~ c0_1(a673)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a672)
            & ~ c1_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a671)
            & ~ c0_1(a671)
            & c2_1(a671)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a670)
            & ~ c0_1(a670)
            & c3_1(a670)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a669)
            & ~ c1_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a668)
            & ~ c2_1(a668)
            & c1_1(a668)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp5
      | hskp25
      | hskp7 )
    & ( hskp0
      | hskp8
      | hskp22 )
    & ( hskp16
      | hskp0
      | hskp29 )
    & ( hskp4
      | hskp18
      | hskp24 )
    & ( hskp2
      | hskp21
      | hskp11 )
    & ( hskp12
      | hskp26
      | hskp30 )
    & ( hskp25
      | hskp12
      | hskp13 )
    & ( hskp9
      | hskp19
      | hskp28 )
    & ( hskp11
      | hskp30
      | hskp28 )
    & ( hskp18
      | hskp24
      | hskp27 )
    & ( hskp16
      | hskp23
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp5
      | hskp9
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp21
      | hskp1
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp21
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp17
      | hskp14
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp10
      | hskp28
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp4
      | hskp15
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp5
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp19
      | hskp24
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c0_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp23
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp1
      | hskp27
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c3_1(X16)
            | c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c3_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp13
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp15
      | hskp29
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c3_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp19
      | hskp20
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp0
      | hskp20
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp16
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp10
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp2
      | hskp9
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp22
      | hskp21
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp15
      | hskp1
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp13
      | hskp20
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp19
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp6
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c0_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp16
      | hskp11
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp4
      | hskp6
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp17
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp16
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp3
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp15
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp10
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp27
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp1
      | hskp14
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c3_1(X68)
            | c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp12
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c1_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp8
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp0
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c1_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp7
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c2_1(X92)
            | ~ c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c1_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp9
      | hskp13
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c2_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp7
      | hskp28
      | ! [X96] :
          ( ndr1_0
         => ( c3_1(X96)
            | c2_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp6
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c2_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp12
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp11
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c0_1(X106)
            | c2_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp2
      | hskp10
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp9
      | hskp8
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( hskp28
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | c2_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | c3_1(X114)
            | c1_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp5
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c2_1(X116)
            | c1_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( hskp27
      | ! [X118] :
          ( ndr1_0
         => ( ~ c1_1(X118)
            | c2_1(X118)
            | c0_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp7
      | hskp6
      | ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( hskp5
      | ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | c3_1(X121)
            | c1_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c3_1(X122)
            | c1_1(X122)
            | c0_1(X122) ) ) )
    & ( hskp4
      | hskp3
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp2
      | hskp1
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) ) )
    & ( hskp0
      | ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c0_1(X125)
            | c2_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c2_1(X126)
            | c1_1(X126)
            | c0_1(X126) ) ) )
    & ( ( c3_1(a753)
        & c2_1(a753)
        & c0_1(a753)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a725)
        & c2_1(a725)
        & c1_1(a725)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a678)
        & c1_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a762)
        & ~ c0_1(a762)
        & c1_1(a762)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a760)
        & ~ c1_1(a760)
        & ~ c0_1(a760)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a731)
        & ~ c1_1(a731)
        & c0_1(a731)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a730)
        & c2_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c1_1(a716)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a715)
        & ~ c2_1(a715)
        & c0_1(a715)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a711)
        & c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a710)
        & c2_1(a710)
        & c1_1(a710)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a708)
        & ~ c1_1(a708)
        & c3_1(a708)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a703)
        & ~ c0_1(a703)
        & c1_1(a703)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a702)
        & c3_1(a702)
        & c2_1(a702)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a700)
        & ~ c0_1(a700)
        & c2_1(a700)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a696)
        & c2_1(a696)
        & c0_1(a696)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a688)
        & c1_1(a688)
        & c0_1(a688)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a684)
        & ~ c0_1(a684)
        & c3_1(a684)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a683)
        & c3_1(a683)
        & c0_1(a683)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a681)
        & c3_1(a681)
        & c2_1(a681)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a680)
        & ~ c1_1(a680)
        & c2_1(a680)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a679)
        & c3_1(a679)
        & c1_1(a679)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a675)
        & c3_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a674)
        & c3_1(a674)
        & c0_1(a674)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a673)
        & ~ c2_1(a673)
        & ~ c0_1(a673)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a672)
        & ~ c1_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a671)
        & ~ c0_1(a671)
        & c2_1(a671)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a670)
        & ~ c0_1(a670)
        & c3_1(a670)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a669)
        & ~ c1_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a668)
        & ~ c2_1(a668)
        & c1_1(a668)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp5
      | hskp25
      | hskp7 )
    & ( hskp0
      | hskp8
      | hskp22 )
    & ( hskp16
      | hskp0
      | hskp29 )
    & ( hskp4
      | hskp18
      | hskp24 )
    & ( hskp2
      | hskp21
      | hskp11 )
    & ( hskp12
      | hskp26
      | hskp30 )
    & ( hskp25
      | hskp12
      | hskp13 )
    & ( hskp9
      | hskp19
      | hskp28 )
    & ( hskp11
      | hskp30
      | hskp28 )
    & ( hskp18
      | hskp24
      | hskp27 )
    & ( hskp16
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X16] :
          ( ~ c2_1(X16)
          | c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp29
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp20
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp20
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp9
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp1
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X49] :
          ( ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp13
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp10
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X118] :
          ( ~ c1_1(X118)
          | c2_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X120] :
          ( c3_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X121] :
          ( ~ c2_1(X121)
          | c3_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c3_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X125] :
          ( ~ c1_1(X125)
          | ~ c0_1(X125)
          | c2_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a753)
        & c2_1(a753)
        & c0_1(a753)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a725)
        & c2_1(a725)
        & c1_1(a725)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a678)
        & c1_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a762)
        & ~ c0_1(a762)
        & c1_1(a762)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a760)
        & ~ c1_1(a760)
        & ~ c0_1(a760)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a731)
        & ~ c1_1(a731)
        & c0_1(a731)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a730)
        & c2_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c1_1(a716)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a715)
        & ~ c2_1(a715)
        & c0_1(a715)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a711)
        & c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a710)
        & c2_1(a710)
        & c1_1(a710)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a708)
        & ~ c1_1(a708)
        & c3_1(a708)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a703)
        & ~ c0_1(a703)
        & c1_1(a703)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a702)
        & c3_1(a702)
        & c2_1(a702)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a700)
        & ~ c0_1(a700)
        & c2_1(a700)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a696)
        & c2_1(a696)
        & c0_1(a696)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a688)
        & c1_1(a688)
        & c0_1(a688)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a684)
        & ~ c0_1(a684)
        & c3_1(a684)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a683)
        & c3_1(a683)
        & c0_1(a683)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a681)
        & c3_1(a681)
        & c2_1(a681)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a680)
        & ~ c1_1(a680)
        & c2_1(a680)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a679)
        & c3_1(a679)
        & c1_1(a679)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a675)
        & c3_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a674)
        & c3_1(a674)
        & c0_1(a674)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a673)
        & ~ c2_1(a673)
        & ~ c0_1(a673)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a672)
        & ~ c1_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a671)
        & ~ c0_1(a671)
        & c2_1(a671)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a670)
        & ~ c0_1(a670)
        & c3_1(a670)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a669)
        & ~ c1_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a668)
        & ~ c2_1(a668)
        & c1_1(a668)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp5
      | hskp25
      | hskp7 )
    & ( hskp0
      | hskp8
      | hskp22 )
    & ( hskp16
      | hskp0
      | hskp29 )
    & ( hskp4
      | hskp18
      | hskp24 )
    & ( hskp2
      | hskp21
      | hskp11 )
    & ( hskp12
      | hskp26
      | hskp30 )
    & ( hskp25
      | hskp12
      | hskp13 )
    & ( hskp9
      | hskp19
      | hskp28 )
    & ( hskp11
      | hskp30
      | hskp28 )
    & ( hskp18
      | hskp24
      | hskp27 )
    & ( hskp16
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp9
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp15
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp24
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp27
      | ! [X16] :
          ( ~ c2_1(X16)
          | c3_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp29
      | ! [X22] :
          ( ~ c0_1(X22)
          | c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp20
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp20
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp9
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp1
      | ! [X37] :
          ( ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c0_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X49] :
          ( ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | c3_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp14
      | ! [X67] :
          ( ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp13
      | ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X96] :
          ( c3_1(X96)
          | c2_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c2_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X99] :
          ( ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp10
      | ! [X109] :
          ( ~ c2_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | c3_1(X114)
          | c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X118] :
          ( ~ c1_1(X118)
          | c2_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X120] :
          ( c3_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X121] :
          ( ~ c2_1(X121)
          | c3_1(X121)
          | c1_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c3_1(X122)
          | c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X125] :
          ( ~ c1_1(X125)
          | ~ c0_1(X125)
          | c2_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c2_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a753)
        & c2_1(a753)
        & c0_1(a753)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a725)
        & c2_1(a725)
        & c1_1(a725)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a678)
        & c1_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a762)
        & ~ c0_1(a762)
        & c1_1(a762)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a760)
        & ~ c1_1(a760)
        & ~ c0_1(a760)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a731)
        & ~ c1_1(a731)
        & c0_1(a731)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a730)
        & c2_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c1_1(a716)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a715)
        & ~ c2_1(a715)
        & c0_1(a715)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a711)
        & c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a710)
        & c2_1(a710)
        & c1_1(a710)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a708)
        & ~ c1_1(a708)
        & c3_1(a708)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a703)
        & ~ c0_1(a703)
        & c1_1(a703)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a702)
        & c3_1(a702)
        & c2_1(a702)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a700)
        & ~ c0_1(a700)
        & c2_1(a700)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a696)
        & c2_1(a696)
        & c0_1(a696)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a688)
        & c1_1(a688)
        & c0_1(a688)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a684)
        & ~ c0_1(a684)
        & c3_1(a684)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a683)
        & c3_1(a683)
        & c0_1(a683)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a681)
        & c3_1(a681)
        & c2_1(a681)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a680)
        & ~ c1_1(a680)
        & c2_1(a680)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a679)
        & c3_1(a679)
        & c1_1(a679)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a675)
        & c3_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a674)
        & c3_1(a674)
        & c0_1(a674)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a673)
        & ~ c2_1(a673)
        & ~ c0_1(a673)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a672)
        & ~ c1_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a671)
        & ~ c0_1(a671)
        & c2_1(a671)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a670)
        & ~ c0_1(a670)
        & c3_1(a670)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a669)
        & ~ c1_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a668)
        & ~ c2_1(a668)
        & c1_1(a668)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c1_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c1_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c3_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c1_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( ~ c0_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c1_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c2_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c0_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c2_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c0_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c3_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c1_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c1_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c1_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c3_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c0_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c2_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c1_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c2_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( c3_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( c3_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c2_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c3_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c0_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c1_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c0_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c2_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c3_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c2_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c0_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c2_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c2_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c0_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c0_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( c1_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c2_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f95,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c0_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( ~ c0_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c1_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c3_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c1_1(a762)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c0_1(a762)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c3_1(a762)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c1_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c2_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c0_1(a753)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a753)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a753)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ! [X124] :
      ( hskp2
      | hskp1
      | c2_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f135,plain,
    ! [X120] :
      ( hskp7
      | hskp6
      | c3_1(X120)
      | c1_1(X120)
      | c0_1(X120)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f140,plain,
    ! [X110] :
      ( hskp9
      | hskp8
      | ~ c2_1(X110)
      | c1_1(X110)
      | c0_1(X110)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f141,plain,
    ! [X109] :
      ( hskp2
      | hskp10
      | ~ c2_1(X109)
      | c1_1(X109)
      | c0_1(X109)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X96] :
      ( hskp7
      | hskp28
      | c3_1(X96)
      | c2_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f148,plain,
    ! [X95] :
      ( hskp9
      | hskp13
      | c3_1(X95)
      | c2_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f170,plain,
    ! [X46] :
      ( hskp4
      | hskp6
      | ~ c3_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    ! [X35] :
      ( hskp2
      | hskp9
      | ~ c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X30] :
      ( hskp0
      | hskp20
      | ~ c3_1(X30)
      | c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X16] :
      ( hskp1
      | hskp27
      | ~ c2_1(X16)
      | c3_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X10] :
      ( hskp4
      | hskp15
      | ~ c3_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f193,plain,
    ! [X9] :
      ( hskp10
      | hskp28
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f195,plain,
    ! [X7] :
      ( hskp24
      | hskp14
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ! [X3] :
      ( hskp5
      | hskp9
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f203,plain,
    ( hskp9
    | hskp19
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( hskp12
    | hskp26
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f209,plain,
    ( hskp0
    | hskp8
    | hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f210,plain,
    ( hskp5
    | hskp25
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp7 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_50,negated_conjecture,
    ( hskp0
    | hskp8
    | hskp22 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_54,negated_conjecture,
    ( hskp12
    | hskp26
    | hskp30 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_56,negated_conjecture,
    ( hskp9
    | hskp19
    | hskp28 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_61,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp5
    | hskp9 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_64,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_67,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp4
    | hskp15 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_68,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_71,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp27
    | hskp1 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp20 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_81,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp4
    | hskp6 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_104,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)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_110,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_111,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp9 ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_112,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp28 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_113,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_115,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_118,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp10 ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_119,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp9 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_123,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f252]) ).

cnf(c_124,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_125,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f253]) ).

cnf(c_127,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp1 ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_128,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f254]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp30
    | c3_1(a753) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp30
    | c2_1(a753) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp30
    | c0_1(a753) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp28
    | c3_1(a678) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp28
    | c1_1(a678) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp28
    | c0_1(a678) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_141,negated_conjecture,
    ( ~ hskp27
    | c2_1(a676) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp27
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp27
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a762)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_146,negated_conjecture,
    ( ~ c0_1(a762)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp26
    | c1_1(a762) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_151,negated_conjecture,
    ( ~ c0_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_153,negated_conjecture,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp24
    | c0_1(a731) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_164,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a711)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp20
    | c1_1(a711) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp20
    | c0_1(a711) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_173,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp19
    | c2_1(a710) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp19
    | c1_1(a710) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp16
    | c3_1(a702) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp16
    | c2_1(a702) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp15
    | c2_1(a700) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp14
    | c2_1(a696) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp14
    | c0_1(a696) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp13
    | c1_1(a688) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp13
    | c0_1(a688) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_201,negated_conjecture,
    ( ~ c2_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp12
    | c3_1(a684) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_205,negated_conjecture,
    ( ~ c2_1(a683)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp11
    | c3_1(a683) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp11
    | c0_1(a683) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_210,negated_conjecture,
    ( ~ hskp10
    | c3_1(a681) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp10
    | c2_1(a681) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp9
    | c2_1(a680) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp8
    | c3_1(a679) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp8
    | c1_1(a679) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_220,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_221,negated_conjecture,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp7
    | c3_1(a675) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp7
    | c1_1(a675) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp6
    | c3_1(a674) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp6
    | c0_1(a674) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_230,negated_conjecture,
    ( ~ c2_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_233,negated_conjecture,
    ( ~ c2_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_234,negated_conjecture,
    ( ~ c1_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_241,negated_conjecture,
    ( ~ c1_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp2
    | c3_1(a670) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_245,negated_conjecture,
    ( ~ c2_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_246,negated_conjecture,
    ( ~ c1_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp1
    | c0_1(a669) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_249,negated_conjecture,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_251,negated_conjecture,
    ( ~ hskp0
    | c1_1(a668) ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_287,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_252,c_252,c_220,c_164,c_50]) ).

cnf(c_349,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_252,c_220,c_164,c_50,c_127]) ).

cnf(c_355,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_252,c_220,c_164,c_50,c_124]) ).

cnf(c_358,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_252,c_220,c_164,c_50,c_112]) ).

cnf(c_361,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_252,c_220,c_164,c_50,c_111]) ).

cnf(c_364,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_252,c_220,c_164,c_50,c_119]) ).

cnf(c_367,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_252,c_220,c_164,c_50,c_118]) ).

cnf(c_382,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_252,c_220,c_164,c_50,c_81]) ).

cnf(c_385,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_252,c_220,c_164,c_50,c_78]) ).

cnf(c_394,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp27
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_252,c_220,c_164,c_50,c_71]) ).

cnf(c_397,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_252,c_220,c_164,c_50,c_89]) ).

cnf(c_398,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp6 ),
    inference(renaming,[status(thm)],[c_397]) ).

cnf(c_406,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp4
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_252,c_220,c_164,c_50,c_67]) ).

cnf(c_407,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp4
    | hskp15 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_409,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_252,c_220,c_164,c_50,c_66]) ).

cnf(c_410,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp10 ),
    inference(renaming,[status(thm)],[c_409]) ).

cnf(c_415,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp24
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_252,c_220,c_164,c_50,c_64]) ).

cnf(c_416,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp24
    | hskp14 ),
    inference(renaming,[status(thm)],[c_415]) ).

cnf(c_421,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp5
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_252,c_220,c_164,c_50,c_61]) ).

cnf(c_422,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp5
    | hskp9 ),
    inference(renaming,[status(thm)],[c_421]) ).

cnf(c_427,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_252,c_220,c_164,c_50,c_125]) ).

cnf(c_430,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_252,c_220,c_164,c_50,c_113]) ).

cnf(c_433,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_252,c_220,c_164,c_50,c_128]) ).

cnf(c_434,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_252,c_220,c_164,c_50,c_123]) ).

cnf(c_436,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_441,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_252,c_220,c_164,c_50,c_116]) ).

cnf(c_442,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_444,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_252,c_220,c_164,c_50,c_107]) ).

cnf(c_445,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_448,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_252,c_220,c_164,c_50,c_105]) ).

cnf(c_449,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_450,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_252,c_220,c_164,c_50,c_103]) ).

cnf(c_451,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_457,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_252,c_220,c_164,c_50,c_96]) ).

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

cnf(c_461,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_86,c_287]) ).

cnf(c_462,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_480,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_252,c_220,c_164,c_50,c_85]) ).

cnf(c_481,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_480]) ).

cnf(c_482,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_252,c_220,c_164,c_50,c_79]) ).

cnf(c_483,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_484,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_252,c_220,c_164,c_50,c_70]) ).

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

cnf(c_487,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_252,c_220,c_164,c_50,c_68]) ).

cnf(c_488,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_493,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_252,c_220,c_164,c_50,c_60]) ).

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

cnf(c_496,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_252,c_220,c_164,c_50,c_121]) ).

cnf(c_497,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_496]) ).

cnf(c_498,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_252,c_220,c_164,c_50,c_117]) ).

cnf(c_499,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_498]) ).

cnf(c_502,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)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_252,c_220,c_164,c_50,c_104]) ).

cnf(c_503,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)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_502]) ).

cnf(c_508,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_252,c_220,c_164,c_50,c_72]) ).

cnf(c_509,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_508]) ).

cnf(c_510,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_252,c_220,c_164,c_50,c_115]) ).

cnf(c_511,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_510]) ).

cnf(c_512,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_252,c_220,c_164,c_50,c_110]) ).

cnf(c_513,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_514,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_252,c_220,c_164,c_50,c_108]) ).

cnf(c_515,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_514]) ).

cnf(c_516,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_252,c_220,c_164,c_50,c_101]) ).

cnf(c_517,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_516]) ).

cnf(c_518,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_252,c_220,c_164,c_50,c_76]) ).

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

cnf(c_520,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_252,c_220,c_164,c_50,c_60,c_98]) ).

cnf(c_1253,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_515,c_494]) ).

cnf(c_1875,plain,
    ( c1_1(a762)
    | hskp12
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_147]) ).

cnf(c_1885,plain,
    ( ~ c0_1(a762)
    | hskp12
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_146]) ).

cnf(c_1895,plain,
    ( ~ c3_1(a762)
    | hskp12
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_145]) ).

cnf(c_1944,plain,
    ( ~ c0_1(a760)
    | hskp5
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_151]) ).

cnf(c_1954,plain,
    ( ~ c1_1(a760)
    | hskp5
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_150]) ).

cnf(c_1964,plain,
    ( ~ c3_1(a760)
    | hskp5
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_149]) ).

cnf(c_3177,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c0_1(a696)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_416,c_195]) ).

cnf(c_3178,plain,
    ( ~ c1_1(a668)
    | ~ c0_1(a668)
    | c3_1(a668)
    | c0_1(a696)
    | hskp24 ),
    inference(instantiation,[status(thm)],[c_3177]) ).

cnf(c_3194,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(a696)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_416,c_194]) ).

cnf(c_3195,plain,
    ( ~ c1_1(a668)
    | ~ c0_1(a668)
    | c3_1(a668)
    | c2_1(a696)
    | hskp24 ),
    inference(instantiation,[status(thm)],[c_3194]) ).

cnf(c_3211,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(a696)
    | c3_1(X0)
    | hskp24 ),
    inference(resolution,[status(thm)],[c_416,c_193]) ).

cnf(c_3212,plain,
    ( ~ c3_1(a696)
    | ~ c1_1(a668)
    | ~ c0_1(a668)
    | c3_1(a668)
    | hskp24 ),
    inference(instantiation,[status(thm)],[c_3211]) ).

cnf(c_5184,plain,
    ( c1_1(a710)
    | hskp9
    | hskp28 ),
    inference(resolution,[status(thm)],[c_56,c_175]) ).

cnf(c_5194,plain,
    ( c2_1(a710)
    | hskp9
    | hskp28 ),
    inference(resolution,[status(thm)],[c_56,c_174]) ).

cnf(c_5204,plain,
    ( ~ c0_1(a710)
    | hskp9
    | hskp28 ),
    inference(resolution,[status(thm)],[c_56,c_173]) ).

cnf(c_7711,plain,
    ( ~ c3_1(a762)
    | c3_1(a684)
    | hskp30 ),
    inference(resolution,[status(thm)],[c_1895,c_203]) ).

cnf(c_7741,plain,
    ( ~ c0_1(a762)
    | c3_1(a684)
    | hskp30 ),
    inference(resolution,[status(thm)],[c_1885,c_203]) ).

cnf(c_7771,plain,
    ( c3_1(a684)
    | c1_1(a762)
    | hskp30 ),
    inference(resolution,[status(thm)],[c_1875,c_203]) ).

cnf(c_7781,plain,
    ( ~ c0_1(a684)
    | c1_1(a762)
    | hskp30 ),
    inference(resolution,[status(thm)],[c_1875,c_202]) ).

cnf(c_7791,plain,
    ( ~ c2_1(a684)
    | c1_1(a762)
    | hskp30 ),
    inference(resolution,[status(thm)],[c_1875,c_201]) ).

cnf(c_17559,plain,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1253]) ).

cnf(c_17560,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_1253]) ).

cnf(c_17564,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_520]) ).

cnf(c_17565,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_520]) ).

cnf(c_17568,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_519]) ).

cnf(c_17570,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_517]) ).

cnf(c_17572,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_517]) ).

cnf(c_17574,negated_conjecture,
    ( sP1_iProver_split
    | sP5_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

cnf(c_17575,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_511]) ).

cnf(c_17576,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_511]) ).

cnf(c_17577,negated_conjecture,
    ( sP2_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

cnf(c_17578,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_509]) ).

cnf(c_17579,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_509]) ).

cnf(c_17580,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_509]) ).

cnf(c_17581,negated_conjecture,
    ( sP13_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

cnf(c_17585,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_503]) ).

cnf(c_17586,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_503]) ).

cnf(c_17587,negated_conjecture,
    ( sP11_iProver_split
    | sP17_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

cnf(c_17591,negated_conjecture,
    ( sP8_iProver_split
    | sP12_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

cnf(c_17592,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_497]) ).

cnf(c_17593,negated_conjecture,
    ( sP7_iProver_split
    | sP18_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

cnf(c_17594,negated_conjecture,
    ( sP2_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_17597,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_488]) ).

cnf(c_17598,negated_conjecture,
    ( hskp5
    | sP2_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_17599,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_485]) ).

cnf(c_17601,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_483]) ).

cnf(c_17602,negated_conjecture,
    ( hskp16
    | sP10_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

cnf(c_17603,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_481]) ).

cnf(c_17614,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_462]) ).

cnf(c_17618,negated_conjecture,
    ( sP4_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_17621,negated_conjecture,
    ( hskp12
    | sP15_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_17622,negated_conjecture,
    ( hskp8
    | sP17_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_17624,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_445]) ).

cnf(c_17625,negated_conjecture,
    ( hskp7
    | sP15_iProver_split
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_17626,negated_conjecture,
    ( hskp11
    | sP12_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_17629,negated_conjecture,
    ( hskp27
    | sP1_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_17630,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_split])],[c_434]) ).

cnf(c_17631,negated_conjecture,
    ( hskp0
    | sP11_iProver_split
    | sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

cnf(c_17632,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP32_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP32_iProver_split])],[c_430]) ).

cnf(c_17633,negated_conjecture,
    ( hskp6
    | sP1_iProver_split
    | sP32_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_17634,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP33_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP33_iProver_split])],[c_427]) ).

cnf(c_17635,negated_conjecture,
    ( hskp5
    | sP14_iProver_split
    | sP33_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_17637,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP34_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP34_iProver_split])],[c_422]) ).

cnf(c_17638,negated_conjecture,
    ( hskp5
    | hskp9
    | sP34_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_17642,negated_conjecture,
    ( hskp28
    | hskp10
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_17643,negated_conjecture,
    ( hskp4
    | hskp15
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_17646,negated_conjecture,
    ( hskp4
    | hskp6
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

cnf(c_17647,negated_conjecture,
    ( hskp27
    | hskp1
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

cnf(c_17650,negated_conjecture,
    ( hskp0
    | hskp20
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

cnf(c_17651,negated_conjecture,
    ( hskp2
    | hskp9
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_382]) ).

cnf(c_17656,negated_conjecture,
    ( hskp2
    | hskp10
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

cnf(c_17657,negated_conjecture,
    ( hskp8
    | hskp9
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

cnf(c_17658,negated_conjecture,
    ( hskp13
    | hskp9
    | sP32_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

cnf(c_17659,negated_conjecture,
    ( hskp7
    | hskp28
    | sP32_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

cnf(c_17660,negated_conjecture,
    ( hskp7
    | hskp6
    | sP33_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_355]) ).

cnf(c_17662,negated_conjecture,
    ( hskp2
    | hskp1
    | sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

cnf(c_17676,plain,
    ( ~ c1_1(a668)
    | ~ sP17_iProver_split
    | c3_1(a668)
    | c0_1(a668) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

cnf(c_17699,plain,
    ( ~ c2_1(a710)
    | ~ c1_1(a710)
    | ~ sP4_iProver_split
    | c0_1(a710) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

cnf(c_17710,plain,
    ( ~ c0_1(a669)
    | ~ sP7_iProver_split
    | c3_1(a669)
    | c1_1(a669) ),
    inference(instantiation,[status(thm)],[c_17568]) ).

cnf(c_17714,plain,
    ( ~ c3_1(a679)
    | ~ c1_1(a679)
    | ~ sP8_iProver_split
    | c0_1(a679) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

cnf(c_17715,plain,
    ( ~ c3_1(a675)
    | ~ c1_1(a675)
    | ~ sP8_iProver_split
    | c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

cnf(c_17716,plain,
    ( ~ c1_1(a711)
    | ~ c0_1(a711)
    | ~ sP11_iProver_split
    | c2_1(a711) ),
    inference(instantiation,[status(thm)],[c_17575]) ).

cnf(c_17720,plain,
    ( ~ c1_1(a675)
    | ~ c0_1(a675)
    | ~ sP11_iProver_split
    | c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_17575]) ).

cnf(c_17724,plain,
    ( ~ c2_1(a696)
    | ~ c0_1(a696)
    | ~ sP13_iProver_split
    | c3_1(a696) ),
    inference(instantiation,[status(thm)],[c_17578]) ).

cnf(c_17726,plain,
    ( ~ c2_1(a680)
    | ~ c0_1(a680)
    | ~ sP13_iProver_split
    | c3_1(a680) ),
    inference(instantiation,[status(thm)],[c_17578]) ).

cnf(c_17731,plain,
    ( ~ c1_1(a675)
    | ~ sP1_iProver_split
    | c2_1(a675)
    | c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_17559]) ).

cnf(c_17734,plain,
    ( ~ c3_1(a702)
    | ~ c2_1(a702)
    | ~ c0_1(a702)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17560]) ).

cnf(c_17742,plain,
    ( ~ c3_1(a681)
    | ~ c2_1(a681)
    | ~ c1_1(a681)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17565]) ).

cnf(c_17760,plain,
    ( ~ c3_1(a675)
    | ~ c1_1(a675)
    | ~ sP18_iProver_split
    | c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

cnf(c_17762,plain,
    ( ~ c2_1(a700)
    | ~ c1_1(a700)
    | ~ sP4_iProver_split
    | c0_1(a700) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

cnf(c_17764,plain,
    ( ~ c2_1(a681)
    | ~ c1_1(a681)
    | ~ sP4_iProver_split
    | c0_1(a681) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

cnf(c_17772,plain,
    ( ~ c1_1(a700)
    | ~ sP17_iProver_split
    | c3_1(a700)
    | c0_1(a700) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

cnf(c_17775,plain,
    ( ~ c1_1(a673)
    | ~ sP17_iProver_split
    | c3_1(a673)
    | c0_1(a673) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

cnf(c_17777,plain,
    ( ~ c3_1(a678)
    | ~ c1_1(a678)
    | ~ sP18_iProver_split
    | c2_1(a678) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

cnf(c_17778,plain,
    ( ~ c3_1(a678)
    | ~ c0_1(a678)
    | ~ sP15_iProver_split
    | c2_1(a678) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

cnf(c_17782,plain,
    ( ~ c3_1(a683)
    | ~ c0_1(a683)
    | ~ sP15_iProver_split
    | c2_1(a683) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

cnf(c_17785,plain,
    ( ~ c3_1(a675)
    | ~ c0_1(a675)
    | ~ sP15_iProver_split
    | c2_1(a675) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

cnf(c_17786,plain,
    ( ~ c3_1(a674)
    | ~ c0_1(a674)
    | ~ sP15_iProver_split
    | c2_1(a674) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

cnf(c_17790,plain,
    ( ~ c1_1(a673)
    | ~ sP1_iProver_split
    | c2_1(a673)
    | c0_1(a673) ),
    inference(instantiation,[status(thm)],[c_17559]) ).

cnf(c_17793,plain,
    ( ~ c1_1(a702)
    | ~ sP17_iProver_split
    | c3_1(a702)
    | c0_1(a702) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

cnf(c_17794,plain,
    ( ~ c3_1(a702)
    | ~ c1_1(a702)
    | ~ sP8_iProver_split
    | c0_1(a702) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

cnf(c_17825,plain,
    ( ~ c3_1(a678)
    | ~ c2_1(a678)
    | ~ c1_1(a678)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17565]) ).

cnf(c_17853,plain,
    ( ~ c3_1(a681)
    | ~ c2_1(a681)
    | ~ sP24_iProver_split
    | c1_1(a681) ),
    inference(instantiation,[status(thm)],[c_17599]) ).

cnf(c_17871,plain,
    ( ~ c3_1(a674)
    | ~ c2_1(a674)
    | ~ c0_1(a674)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17560]) ).

cnf(c_17902,plain,
    ( ~ c3_1(a684)
    | ~ sP30_iProver_split
    | c2_1(a684)
    | c0_1(a684) ),
    inference(instantiation,[status(thm)],[c_17624]) ).

cnf(c_17906,plain,
    ( ~ c3_1(a675)
    | ~ sP30_iProver_split
    | c2_1(a675)
    | c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_17624]) ).

cnf(c_17912,plain,
    ( ~ c2_1(a700)
    | ~ sP14_iProver_split
    | c3_1(a700)
    | c1_1(a700) ),
    inference(instantiation,[status(thm)],[c_17579]) ).

cnf(c_17915,plain,
    ( ~ c2_1(a680)
    | ~ sP14_iProver_split
    | c3_1(a680)
    | c1_1(a680) ),
    inference(instantiation,[status(thm)],[c_17579]) ).

cnf(c_17980,plain,
    ( ~ c3_1(a753)
    | ~ c2_1(a753)
    | ~ c1_1(a753)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17565]) ).

cnf(c_17981,plain,
    ( ~ c3_1(a753)
    | ~ c2_1(a753)
    | ~ c0_1(a753)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17560]) ).

cnf(c_18013,plain,
    ( ~ c3_1(a670)
    | ~ sP30_iProver_split
    | c2_1(a670)
    | c0_1(a670) ),
    inference(instantiation,[status(thm)],[c_17624]) ).

cnf(c_18020,plain,
    ( ~ c2_1(a702)
    | ~ sP21_iProver_split
    | c1_1(a702)
    | c0_1(a702) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

cnf(c_18024,plain,
    ( ~ c2_1(a680)
    | ~ sP21_iProver_split
    | c1_1(a680)
    | c0_1(a680) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

cnf(c_18028,plain,
    ( ~ sP32_iProver_split
    | c3_1(a673)
    | c2_1(a673)
    | c0_1(a673) ),
    inference(instantiation,[status(thm)],[c_17632]) ).

cnf(c_18029,plain,
    ( ~ sP32_iProver_split
    | c3_1(a672)
    | c2_1(a672)
    | c0_1(a672) ),
    inference(instantiation,[status(thm)],[c_17632]) ).

cnf(c_18041,plain,
    ( ~ c1_1(a688)
    | ~ sP23_iProver_split
    | c3_1(a688)
    | c2_1(a688) ),
    inference(instantiation,[status(thm)],[c_17597]) ).

cnf(c_18083,plain,
    ( ~ c3_1(a670)
    | ~ sP12_iProver_split
    | c1_1(a670)
    | c0_1(a670) ),
    inference(instantiation,[status(thm)],[c_17576]) ).

cnf(c_18102,plain,
    ( ~ c2_1(a670)
    | ~ sP21_iProver_split
    | c1_1(a670)
    | c0_1(a670) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

cnf(c_18112,plain,
    ( ~ c3_1(a670)
    | ~ sP25_iProver_split
    | c2_1(a670)
    | c1_1(a670) ),
    inference(instantiation,[status(thm)],[c_17601]) ).

cnf(c_18114,plain,
    ( ~ c3_1(a753)
    | ~ c0_1(a753)
    | ~ sP28_iProver_split
    | c1_1(a753) ),
    inference(instantiation,[status(thm)],[c_17614]) ).

cnf(c_18125,plain,
    ( ~ sP31_iProver_split
    | c2_1(a673)
    | c1_1(a673)
    | c0_1(a673) ),
    inference(instantiation,[status(thm)],[c_17630]) ).

cnf(c_18126,plain,
    ( ~ sP31_iProver_split
    | c2_1(a672)
    | c1_1(a672)
    | c0_1(a672) ),
    inference(instantiation,[status(thm)],[c_17630]) ).

cnf(c_18133,plain,
    ( ~ sP33_iProver_split
    | c3_1(a680)
    | c1_1(a680)
    | c0_1(a680) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

cnf(c_18162,plain,
    ( ~ sP33_iProver_split
    | c3_1(a760)
    | c1_1(a760)
    | c0_1(a760) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

cnf(c_18173,plain,
    ( ~ c2_1(a688)
    | ~ c1_1(a688)
    | ~ c0_1(a688)
    | ~ sP34_iProver_split ),
    inference(instantiation,[status(thm)],[c_17637]) ).

cnf(c_18224,plain,
    ( ~ c3_1(a672)
    | ~ sP30_iProver_split
    | c2_1(a672)
    | c0_1(a672) ),
    inference(instantiation,[status(thm)],[c_17624]) ).

cnf(c_18232,plain,
    ( ~ c3_1(a681)
    | ~ sP12_iProver_split
    | c1_1(a681)
    | c0_1(a681) ),
    inference(instantiation,[status(thm)],[c_17576]) ).

cnf(c_18239,plain,
    ( ~ sP33_iProver_split
    | c3_1(a673)
    | c1_1(a673)
    | c0_1(a673) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

cnf(c_18243,plain,
    ( ~ c2_1(a676)
    | ~ c0_1(a676)
    | ~ sP13_iProver_split
    | c3_1(a676) ),
    inference(instantiation,[status(thm)],[c_17578]) ).

cnf(c_18257,plain,
    ( ~ c0_1(a731)
    | ~ sP7_iProver_split
    | c3_1(a731)
    | c1_1(a731) ),
    inference(instantiation,[status(thm)],[c_17568]) ).

cnf(c_18292,plain,
    ( ~ c1_1(a762)
    | ~ sP17_iProver_split
    | c3_1(a762)
    | c0_1(a762) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

cnf(c_18385,plain,
    ( ~ c3_1(a669)
    | ~ c0_1(a669)
    | ~ sP28_iProver_split
    | c1_1(a669) ),
    inference(instantiation,[status(thm)],[c_17614]) ).

cnf(c_18386,plain,
    ( ~ c3_1(a669)
    | ~ sP25_iProver_split
    | c2_1(a669)
    | c1_1(a669) ),
    inference(instantiation,[status(thm)],[c_17601]) ).

cnf(c_18422,plain,
    ( ~ c0_1(a669)
    | ~ sP26_iProver_split
    | c2_1(a669)
    | c1_1(a669) ),
    inference(instantiation,[status(thm)],[c_17603]) ).

cnf(c_18483,plain,
    ( ~ c3_1(a676)
    | ~ c2_1(a676)
    | ~ c0_1(a676)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_17560]) ).

cnf(c_18488,plain,
    ( ~ c3_1(a676)
    | ~ c2_1(a676)
    | ~ c1_1(a676)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17565]) ).

cnf(c_18501,plain,
    ( ~ c3_1(a675)
    | ~ c1_1(a675)
    | ~ c0_1(a675)
    | ~ sP10_iProver_split ),
    inference(instantiation,[status(thm)],[c_17572]) ).

cnf(c_18513,plain,
    ( ~ c3_1(a674)
    | ~ c0_1(a674)
    | ~ sP28_iProver_split
    | c1_1(a674) ),
    inference(instantiation,[status(thm)],[c_17614]) ).

cnf(c_18667,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18513,c_18501,c_18483,c_18488,c_18422,c_18385,c_18386,c_18292,c_18257,c_18243,c_18239,c_18232,c_18224,c_18173,c_18162,c_18133,c_18126,c_18125,c_18114,c_18112,c_18102,c_18083,c_18041,c_18029,c_18028,c_18024,c_18020,c_18013,c_17980,c_17981,c_17915,c_17912,c_17906,c_17902,c_17871,c_17853,c_17825,c_17793,c_17794,c_17790,c_17786,c_17785,c_17782,c_17778,c_17777,c_17775,c_17772,c_17764,c_17762,c_17760,c_17742,c_17734,c_17731,c_17726,c_17724,c_17720,c_17716,c_17715,c_17714,c_17710,c_17699,c_17676,c_17662,c_17660,c_17659,c_17658,c_17657,c_17656,c_17651,c_17650,c_17647,c_17646,c_17643,c_17642,c_17638,c_17635,c_17633,c_17631,c_17629,c_17626,c_17625,c_17622,c_17621,c_17602,c_17598,c_17593,c_17591,c_17587,c_17581,c_17577,c_17574,c_17618,c_17594,c_7791,c_7781,c_7771,c_7741,c_7711,c_5204,c_5194,c_5184,c_3212,c_3195,c_3178,c_1964,c_1954,c_1944,c_1895,c_1885,c_153,c_154,c_169,c_189,c_190,c_197,c_201,c_202,c_205,c_209,c_213,c_214,c_217,c_221,c_225,c_229,c_230,c_231,c_233,c_234,c_235,c_241,c_242,c_245,c_246,c_249,c_129,c_130,c_131,c_137,c_138,c_139,c_141,c_142,c_143,c_155,c_170,c_171,c_186,c_187,c_191,c_198,c_199,c_203,c_206,c_207,c_210,c_211,c_215,c_218,c_219,c_222,c_223,c_226,c_227,c_243,c_247,c_251]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 21:20:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.48/1.14  % SZS status Started for theBenchmark.p
% 3.48/1.14  % SZS status Theorem for theBenchmark.p
% 3.48/1.14  
% 3.48/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.48/1.14  
% 3.48/1.14  ------  iProver source info
% 3.48/1.14  
% 3.48/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.48/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.48/1.14  git: non_committed_changes: false
% 3.48/1.14  git: last_make_outside_of_git: false
% 3.48/1.14  
% 3.48/1.14  ------ Parsing...
% 3.48/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.48/1.14  
% 3.48/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.48/1.14   gs_s  sp: 127 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.48/1.14  ------ Proving...
% 3.48/1.14  ------ Problem Properties 
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  clauses                                 207
% 3.48/1.14  conjectures                             198
% 3.48/1.14  EPR                                     207
% 3.48/1.14  Horn                                    109
% 3.48/1.14  unary                                   0
% 3.48/1.14  binary                                  92
% 3.48/1.14  lits                                    561
% 3.48/1.14  lits eq                                 0
% 3.48/1.14  fd_pure                                 0
% 3.48/1.14  fd_pseudo                               0
% 3.48/1.14  fd_cond                                 0
% 3.48/1.14  fd_pseudo_cond                          0
% 3.48/1.14  AC symbols                              0
% 3.48/1.14  
% 3.48/1.14  ------ Schedule EPR non Horn non eq is on
% 3.48/1.14  
% 3.48/1.14  ------ no equalities: superposition off 
% 3.48/1.14  
% 3.48/1.14  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  ------ 
% 3.48/1.14  Current options:
% 3.48/1.14  ------ 
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  ------ Proving...
% 3.48/1.14  
% 3.48/1.14  
% 3.48/1.14  % SZS status Theorem for theBenchmark.p
% 3.48/1.14  
% 3.48/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/1.14  
% 3.48/1.15  
%------------------------------------------------------------------------------