TSTP Solution File: SYN500+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN500+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:31:15 EDT 2024

% Result   : Theorem 3.82s 1.18s
% Output   : CNFRefutation 3.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f238)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp12
        | hskp21
        | hskp11 )
      & ( hskp22
        | hskp0
        | hskp11 )
      & ( hskp9
        | hskp27 )
      & ( hskp19
        | hskp22
        | hskp17 )
      & ( hskp4
        | hskp27
        | hskp1 )
      & ( hskp9
        | hskp22
        | hskp25 )
      & ( hskp19
        | hskp24
        | hskp29 )
      & ( hskp12
        | hskp20
        | hskp14 )
      & ( hskp25
        | ! [X140] :
            ( ndr1_0
           => ( ~ c3_1(X140)
              | ~ c1_1(X140)
              | ~ c0_1(X140) ) ) )
      & ( hskp2
        | hskp6
        | ! [X139] :
            ( ndr1_0
           => ( ~ c2_1(X139)
              | ~ c1_1(X139)
              | c3_1(X139) ) ) )
      & ( hskp18
        | hskp28
        | ! [X138] :
            ( ndr1_0
           => ( ~ c2_1(X138)
              | ~ c0_1(X138)
              | c3_1(X138) ) ) )
      & ( hskp6
        | hskp20
        | ! [X137] :
            ( ndr1_0
           => ( ~ c1_1(X137)
              | ~ c0_1(X137)
              | c2_1(X137) ) ) )
      & ( hskp19
        | ! [X136] :
            ( ndr1_0
           => ( ~ c1_1(X136)
              | c3_1(X136)
              | c2_1(X136) ) ) )
      & ( hskp22
        | hskp24
        | ! [X135] :
            ( ndr1_0
           => ( ~ c0_1(X135)
              | c3_1(X135)
              | c2_1(X135) ) ) )
      & ( hskp23
        | hskp26
        | ! [X134] :
            ( ndr1_0
           => ( ~ c0_1(X134)
              | c3_1(X134)
              | c2_1(X134) ) ) )
      & ( hskp13
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c1_1(X133)
              | ~ c0_1(X133) ) )
        | ! [X132] :
            ( ndr1_0
           => ( ~ c0_1(X132)
              | c3_1(X132)
              | c2_1(X132) ) ) )
      & ( hskp20
        | ! [X131] :
            ( ndr1_0
           => ( ~ c2_1(X131)
              | ~ c1_1(X131)
              | c3_1(X131) ) )
        | ! [X130] :
            ( ndr1_0
           => ( ~ c0_1(X130)
              | c3_1(X130)
              | c2_1(X130) ) ) )
      & ( hskp8
        | ! [X129] :
            ( ndr1_0
           => ( ~ c2_1(X129)
              | ~ c0_1(X129)
              | c3_1(X129) ) )
        | ! [X128] :
            ( ndr1_0
           => ( ~ c3_1(X128)
              | ~ c2_1(X128)
              | c1_1(X128) ) ) )
      & ( hskp21
        | hskp11
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c0_1(X127)
              | c1_1(X127) ) ) )
      & ( hskp19
        | hskp18
        | ! [X126] :
            ( ndr1_0
           => ( ~ c2_1(X126)
              | ~ c0_1(X126)
              | c1_1(X126) ) ) )
      & ( hskp12
        | ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c0_1(X125)
              | c3_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c0_1(X124)
              | c1_1(X124) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | c1_1(X122) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c0_1(X121)
              | c1_1(X121) ) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c1_1(X118) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | c3_1(X115)
              | c1_1(X115) ) ) )
      & ( hskp1
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | c3_1(X113)
              | c1_1(X113) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | c1_1(X110) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | c3_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp9
        | hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp17
        | hskp1
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp22
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | c2_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c2_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp12
        | hskp11
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp20
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | hskp3
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp19
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c1_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp15
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp12
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp10
        | hskp13
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp5
        | hskp17
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | hskp26
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp13
        | hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp28
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | ~ c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp13
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c3_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp3
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp28
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | hskp0
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp12
        | hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp10
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp9
        | hskp8
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp27
        | hskp1
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | hskp6
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp2
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c3_1(X39)
              | c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp5
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp4
        | hskp0
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp3
        | hskp26
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp2
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp0
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a77)
          & c2_1(a77)
          & c0_1(a77)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a23)
          & c1_1(a23)
          & c0_1(a23)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a4)
          & c1_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a73)
          & c2_1(a73)
          & c0_1(a73)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a64)
          & c3_1(a64)
          & c1_1(a64)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a63)
          & ~ c1_1(a63)
          & c2_1(a63)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a48)
          & ~ c0_1(a48)
          & c1_1(a48)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a47)
          & c3_1(a47)
          & c2_1(a47)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a43)
          & c1_1(a43)
          & c0_1(a43)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a40)
          & ~ c0_1(a40)
          & c2_1(a40)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a39)
          & c3_1(a39)
          & c0_1(a39)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a33)
          & ~ c1_1(a33)
          & c0_1(a33)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a25)
          & c1_1(a25)
          & c0_1(a25)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a22)
          & ~ c0_1(a22)
          & c3_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c2_1(a20)
          & ~ c0_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a19)
          & c2_1(a19)
          & c1_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a18)
          & ~ c2_1(a18)
          & ~ c1_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a15)
          & ~ c1_1(a15)
          & ~ c0_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c3_1(a14)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a11)
          & ~ c0_1(a11)
          & c1_1(a11)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a10)
          & c3_1(a10)
          & c0_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a8)
          & ~ c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a7)
          & ~ c1_1(a7)
          & ~ c0_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & ~ c1_1(a3)
          & c3_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2)
          & ~ c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & c3_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp12
          | hskp21
          | hskp11 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp9
          | hskp27 )
        & ( hskp19
          | hskp22
          | hskp17 )
        & ( hskp4
          | hskp27
          | hskp1 )
        & ( hskp9
          | hskp22
          | hskp25 )
        & ( hskp19
          | hskp24
          | hskp29 )
        & ( hskp12
          | hskp20
          | hskp14 )
        & ( hskp25
          | ! [X140] :
              ( ndr1_0
             => ( ~ c3_1(X140)
                | ~ c1_1(X140)
                | ~ c0_1(X140) ) ) )
        & ( hskp2
          | hskp6
          | ! [X139] :
              ( ndr1_0
             => ( ~ c2_1(X139)
                | ~ c1_1(X139)
                | c3_1(X139) ) ) )
        & ( hskp18
          | hskp28
          | ! [X138] :
              ( ndr1_0
             => ( ~ c2_1(X138)
                | ~ c0_1(X138)
                | c3_1(X138) ) ) )
        & ( hskp6
          | hskp20
          | ! [X137] :
              ( ndr1_0
             => ( ~ c1_1(X137)
                | ~ c0_1(X137)
                | c2_1(X137) ) ) )
        & ( hskp19
          | ! [X136] :
              ( ndr1_0
             => ( ~ c1_1(X136)
                | c3_1(X136)
                | c2_1(X136) ) ) )
        & ( hskp22
          | hskp24
          | ! [X135] :
              ( ndr1_0
             => ( ~ c0_1(X135)
                | c3_1(X135)
                | c2_1(X135) ) ) )
        & ( hskp23
          | hskp26
          | ! [X134] :
              ( ndr1_0
             => ( ~ c0_1(X134)
                | c3_1(X134)
                | c2_1(X134) ) ) )
        & ( hskp13
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c1_1(X133)
                | ~ c0_1(X133) ) )
          | ! [X132] :
              ( ndr1_0
             => ( ~ c0_1(X132)
                | c3_1(X132)
                | c2_1(X132) ) ) )
        & ( hskp20
          | ! [X131] :
              ( ndr1_0
             => ( ~ c2_1(X131)
                | ~ c1_1(X131)
                | c3_1(X131) ) )
          | ! [X130] :
              ( ndr1_0
             => ( ~ c0_1(X130)
                | c3_1(X130)
                | c2_1(X130) ) ) )
        & ( hskp8
          | ! [X129] :
              ( ndr1_0
             => ( ~ c2_1(X129)
                | ~ c0_1(X129)
                | c3_1(X129) ) )
          | ! [X128] :
              ( ndr1_0
             => ( ~ c3_1(X128)
                | ~ c2_1(X128)
                | c1_1(X128) ) ) )
        & ( hskp21
          | hskp11
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c0_1(X127)
                | c1_1(X127) ) ) )
        & ( hskp19
          | hskp18
          | ! [X126] :
              ( ndr1_0
             => ( ~ c2_1(X126)
                | ~ c0_1(X126)
                | c1_1(X126) ) ) )
        & ( hskp12
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c0_1(X125)
                | c3_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c0_1(X124)
                | c1_1(X124) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c1_1(X122) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c0_1(X121)
                | c1_1(X121) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c1_1(X118) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c1_1(X115) ) ) )
        & ( hskp1
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c3_1(X113)
                | c1_1(X113) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c1_1(X110) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp9
          | hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp17
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp22
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c2_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp20
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | hskp3
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp19
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp15
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp5
          | hskp17
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp28
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp3
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp28
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp12
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp10
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp9
          | hskp8
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp2
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp5
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp4
          | hskp0
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp3
          | hskp26
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp2
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp0
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a77)
            & c2_1(a77)
            & c0_1(a77)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a23)
            & c1_1(a23)
            & c0_1(a23)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a4)
            & c1_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a73)
            & c2_1(a73)
            & c0_1(a73)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a63)
            & ~ c1_1(a63)
            & c2_1(a63)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a48)
            & ~ c0_1(a48)
            & c1_1(a48)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a47)
            & c3_1(a47)
            & c2_1(a47)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a43)
            & c1_1(a43)
            & c0_1(a43)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a40)
            & ~ c0_1(a40)
            & c2_1(a40)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a39)
            & c3_1(a39)
            & c0_1(a39)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a33)
            & ~ c1_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a22)
            & ~ c0_1(a22)
            & c3_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c2_1(a20)
            & ~ c0_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a19)
            & c2_1(a19)
            & c1_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c2_1(a18)
            & ~ c1_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & ~ c0_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c3_1(a14)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a11)
            & ~ c0_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a10)
            & c3_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a7)
            & ~ c1_1(a7)
            & ~ c0_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & ~ c1_1(a3)
            & c3_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & ~ c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & c3_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp12
          | hskp21
          | hskp11 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp9
          | hskp27 )
        & ( hskp19
          | hskp22
          | hskp17 )
        & ( hskp4
          | hskp27
          | hskp1 )
        & ( hskp9
          | hskp22
          | hskp25 )
        & ( hskp19
          | hskp24
          | hskp29 )
        & ( hskp12
          | hskp20
          | hskp14 )
        & ( hskp25
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp2
          | hskp6
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp18
          | hskp28
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp6
          | hskp20
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp19
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp22
          | hskp24
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp23
          | hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp13
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp20
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp8
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | c1_1(X12) ) ) )
        & ( hskp21
          | hskp11
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp19
          | hskp18
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp12
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c3_1(X26)
                | c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp9
          | hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp17
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp22
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp8
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp12
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp2
          | hskp3
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp19
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | hskp13
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp5
          | hskp17
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | hskp15
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp28
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp13
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp14
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp13
          | hskp0
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp10
          | hskp1
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp9
          | hskp8
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp27
          | hskp1
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp7
          | hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp2
          | ! [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
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp5
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | c2_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp4
          | hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp3
          | hskp26
          | ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | c2_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c3_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | c3_1(X124)
                | c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) )
          | ! [X126] :
              ( ndr1_0
             => ( c3_1(X126)
                | c1_1(X126)
                | c0_1(X126) ) ) )
        & ( hskp0
          | ! [X127] :
              ( ndr1_0
             => ( ~ c1_1(X127)
                | c3_1(X127)
                | c2_1(X127) ) )
          | ! [X128] :
              ( ndr1_0
             => ( c2_1(X128)
                | c1_1(X128)
                | c0_1(X128) ) ) )
        & ( ! [X129] :
              ( ndr1_0
             => ( ~ c3_1(X129)
                | ~ c2_1(X129)
                | ~ c1_1(X129) ) )
          | ! [X130] :
              ( ndr1_0
             => ( ~ c3_1(X130)
                | ~ c2_1(X130)
                | c1_1(X130) ) )
          | ! [X131] :
              ( ndr1_0
             => ( c2_1(X131)
                | c1_1(X131)
                | c0_1(X131) ) ) )
        & ( ! [X132] :
              ( ndr1_0
             => ( ~ c3_1(X132)
                | ~ c1_1(X132)
                | c2_1(X132) ) )
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c0_1(X133)
                | c1_1(X133) ) )
          | ! [X134] :
              ( ndr1_0
             => ( c2_1(X134)
                | c1_1(X134)
                | c0_1(X134) ) ) )
        & ( ! [X135] :
              ( ndr1_0
             => ( ~ c1_1(X135)
                | c3_1(X135)
                | c2_1(X135) ) )
          | ! [X136] :
              ( ndr1_0
             => ( c3_1(X136)
                | c2_1(X136)
                | c1_1(X136) ) )
          | ! [X137] :
              ( ndr1_0
             => ( c2_1(X137)
                | c1_1(X137)
                | c0_1(X137) ) ) )
        & ( ! [X138] :
              ( ndr1_0
             => ( ~ c3_1(X138)
                | ~ c0_1(X138)
                | c1_1(X138) ) )
          | ! [X139] :
              ( ndr1_0
             => ( ~ c3_1(X139)
                | ~ c1_1(X139)
                | c0_1(X139) ) )
          | ! [X140] :
              ( ndr1_0
             => ( c2_1(X140)
                | c1_1(X140)
                | c0_1(X140) ) ) )
        & ( ( c3_1(a77)
            & c2_1(a77)
            & c0_1(a77)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a23)
            & c1_1(a23)
            & c0_1(a23)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a4)
            & c1_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a73)
            & c2_1(a73)
            & c0_1(a73)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a63)
            & ~ c1_1(a63)
            & c2_1(a63)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a48)
            & ~ c0_1(a48)
            & c1_1(a48)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a47)
            & c3_1(a47)
            & c2_1(a47)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a43)
            & c1_1(a43)
            & c0_1(a43)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a40)
            & ~ c0_1(a40)
            & c2_1(a40)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a39)
            & c3_1(a39)
            & c0_1(a39)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a33)
            & ~ c1_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a22)
            & ~ c0_1(a22)
            & c3_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c2_1(a20)
            & ~ c0_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a19)
            & c2_1(a19)
            & c1_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c2_1(a18)
            & ~ c1_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & ~ c0_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c3_1(a14)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a11)
            & ~ c0_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a10)
            & c3_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a7)
            & ~ c1_1(a7)
            & ~ c0_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & ~ c1_1(a3)
            & c3_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & ~ c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & c3_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c2_1(X3) ) ) )
    & ( hskp19
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | c3_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | c3_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp13
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp20
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp8
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | c1_1(X12) ) ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c0_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp12
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c3_1(X26)
            | c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp22
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp8
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c0_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp19
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c3_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp3
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp28
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp13
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c1_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp14
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp3
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp28
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp2
      | ! [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
         => ( ~ c0_1(X101)
            | c3_1(X101)
            | c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | c3_1(X107)
            | c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp5
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | c2_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c2_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c1_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c1_1(X120)
            | c2_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c3_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp1
      | ! [X122] :
          ( ndr1_0
         => ( ~ c2_1(X122)
            | ~ c1_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c3_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | c3_1(X124)
            | c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( ~ c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) )
      | ! [X126] :
          ( ndr1_0
         => ( c3_1(X126)
            | c1_1(X126)
            | c0_1(X126) ) ) )
    & ( hskp0
      | ! [X127] :
          ( ndr1_0
         => ( ~ c1_1(X127)
            | c3_1(X127)
            | c2_1(X127) ) )
      | ! [X128] :
          ( ndr1_0
         => ( c2_1(X128)
            | c1_1(X128)
            | c0_1(X128) ) ) )
    & ( ! [X129] :
          ( ndr1_0
         => ( ~ c3_1(X129)
            | ~ c2_1(X129)
            | ~ c1_1(X129) ) )
      | ! [X130] :
          ( ndr1_0
         => ( ~ c3_1(X130)
            | ~ c2_1(X130)
            | c1_1(X130) ) )
      | ! [X131] :
          ( ndr1_0
         => ( c2_1(X131)
            | c1_1(X131)
            | c0_1(X131) ) ) )
    & ( ! [X132] :
          ( ndr1_0
         => ( ~ c3_1(X132)
            | ~ c1_1(X132)
            | c2_1(X132) ) )
      | ! [X133] :
          ( ndr1_0
         => ( ~ c3_1(X133)
            | ~ c0_1(X133)
            | c1_1(X133) ) )
      | ! [X134] :
          ( ndr1_0
         => ( c2_1(X134)
            | c1_1(X134)
            | c0_1(X134) ) ) )
    & ( ! [X135] :
          ( ndr1_0
         => ( ~ c1_1(X135)
            | c3_1(X135)
            | c2_1(X135) ) )
      | ! [X136] :
          ( ndr1_0
         => ( c3_1(X136)
            | c2_1(X136)
            | c1_1(X136) ) )
      | ! [X137] :
          ( ndr1_0
         => ( c2_1(X137)
            | c1_1(X137)
            | c0_1(X137) ) ) )
    & ( ! [X138] :
          ( ndr1_0
         => ( ~ c3_1(X138)
            | ~ c0_1(X138)
            | c1_1(X138) ) )
      | ! [X139] :
          ( ndr1_0
         => ( ~ c3_1(X139)
            | ~ c1_1(X139)
            | c0_1(X139) ) )
      | ! [X140] :
          ( ndr1_0
         => ( c2_1(X140)
            | c1_1(X140)
            | c0_1(X140) ) ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ~ c0_1(X5)
          | c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X59] :
          ( ~ c0_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [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] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( c3_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c1_1(X120)
          | c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c2_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c3_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X127] :
          ( ~ c1_1(X127)
          | c3_1(X127)
          | c2_1(X127)
          | ~ ndr1_0 )
      | ! [X128] :
          ( c2_1(X128)
          | c1_1(X128)
          | c0_1(X128)
          | ~ ndr1_0 ) )
    & ( ! [X129] :
          ( ~ c3_1(X129)
          | ~ c2_1(X129)
          | ~ c1_1(X129)
          | ~ ndr1_0 )
      | ! [X130] :
          ( ~ c3_1(X130)
          | ~ c2_1(X130)
          | c1_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c1_1(X132)
          | c2_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c3_1(X133)
          | ~ c0_1(X133)
          | c1_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ! [X135] :
          ( ~ c1_1(X135)
          | c3_1(X135)
          | c2_1(X135)
          | ~ ndr1_0 )
      | ! [X136] :
          ( c3_1(X136)
          | c2_1(X136)
          | c1_1(X136)
          | ~ ndr1_0 )
      | ! [X137] :
          ( c2_1(X137)
          | c1_1(X137)
          | c0_1(X137)
          | ~ ndr1_0 ) )
    & ( ! [X138] :
          ( ~ c3_1(X138)
          | ~ c0_1(X138)
          | c1_1(X138)
          | ~ ndr1_0 )
      | ! [X139] :
          ( ~ c3_1(X139)
          | ~ c1_1(X139)
          | c0_1(X139)
          | ~ ndr1_0 )
      | ! [X140] :
          ( c2_1(X140)
          | c1_1(X140)
          | c0_1(X140)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp20
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X4] :
          ( ~ c1_1(X4)
          | c3_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp24
      | ! [X5] :
          ( ~ c0_1(X5)
          | c3_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | c1_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X26] :
          ( ~ c1_1(X26)
          | c3_1(X26)
          | c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c3_1(X48)
          | ~ c0_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp3
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X59] :
          ( ~ c0_1(X59)
          | c3_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp13
      | ! [X66] :
          ( ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp17
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X69] :
          ( ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X79] :
          ( ~ c2_1(X79)
          | ~ c0_1(X79)
          | c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp0
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c1_1(X91)
          | c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X93] :
          ( c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp1
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [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] :
          ( ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X110] :
          ( ~ c2_1(X110)
          | ~ c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c3_1(X112)
          | ~ c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | c2_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( ~ c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp26
      | ! [X119] :
          ( c3_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c1_1(X120)
          | c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c3_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c2_1(X122)
          | ~ c1_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c3_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | c3_1(X124)
          | c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 )
      | ! [X126] :
          ( c3_1(X126)
          | c1_1(X126)
          | c0_1(X126)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X127] :
          ( ~ c1_1(X127)
          | c3_1(X127)
          | c2_1(X127)
          | ~ ndr1_0 )
      | ! [X128] :
          ( c2_1(X128)
          | c1_1(X128)
          | c0_1(X128)
          | ~ ndr1_0 ) )
    & ( ! [X129] :
          ( ~ c3_1(X129)
          | ~ c2_1(X129)
          | ~ c1_1(X129)
          | ~ ndr1_0 )
      | ! [X130] :
          ( ~ c3_1(X130)
          | ~ c2_1(X130)
          | c1_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c2_1(X131)
          | c1_1(X131)
          | c0_1(X131)
          | ~ ndr1_0 ) )
    & ( ! [X132] :
          ( ~ c3_1(X132)
          | ~ c1_1(X132)
          | c2_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c3_1(X133)
          | ~ c0_1(X133)
          | c1_1(X133)
          | ~ ndr1_0 )
      | ! [X134] :
          ( c2_1(X134)
          | c1_1(X134)
          | c0_1(X134)
          | ~ ndr1_0 ) )
    & ( ! [X135] :
          ( ~ c1_1(X135)
          | c3_1(X135)
          | c2_1(X135)
          | ~ ndr1_0 )
      | ! [X136] :
          ( c3_1(X136)
          | c2_1(X136)
          | c1_1(X136)
          | ~ ndr1_0 )
      | ! [X137] :
          ( c2_1(X137)
          | c1_1(X137)
          | c0_1(X137)
          | ~ ndr1_0 ) )
    & ( ! [X138] :
          ( ~ c3_1(X138)
          | ~ c0_1(X138)
          | c1_1(X138)
          | ~ ndr1_0 )
      | ! [X139] :
          ( ~ c3_1(X139)
          | ~ c1_1(X139)
          | c0_1(X139)
          | ~ ndr1_0 )
      | ! [X140] :
          ( c2_1(X140)
          | c1_1(X140)
          | c0_1(X140)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

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

fof(f9,plain,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

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

fof(f13,plain,
    ( ~ c1_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f20,plain,
    ( c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c0_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c1_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c1_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c2_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c3_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c0_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c2_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c0_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( ~ c0_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f60,plain,
    ( c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c1_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c2_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c3_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c1_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c0_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c3_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c0_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( c3_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c1_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c2_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c0_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c2_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( c3_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c0_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c1_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c0_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c3_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c3_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c0_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( c2_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c3_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c0_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c1_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( c3_1(a4)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f115,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c1_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c2_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a23)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f135,plain,
    ! [X119] :
      ( hskp3
      | hskp26
      | c3_1(X119)
      | c1_1(X119)
      | c0_1(X119)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f137,plain,
    ! [X115] :
      ( hskp4
      | hskp0
      | ~ c2_1(X115)
      | c1_1(X115)
      | c0_1(X115)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f146,plain,
    ! [X94] :
      ( hskp27
      | hskp1
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X93] :
      ( hskp9
      | hskp8
      | c3_1(X93)
      | c2_1(X93)
      | c0_1(X93)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f159,plain,
    ! [X71] :
      ( hskp13
      | hskp15
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f162,plain,
    ! [X67] :
      ( hskp5
      | hskp17
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f163,plain,
    ! [X66] :
      ( hskp10
      | hskp13
      | ~ c2_1(X66)
      | ~ c1_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X34] :
      ( hskp9
      | hskp11
      | ~ c0_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f193,plain,
    ! [X5] :
      ( hskp22
      | hskp24
      | ~ c0_1(X5)
      | c3_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f194,plain,
    ! [X4] :
      ( hskp19
      | ~ c1_1(X4)
      | c3_1(X4)
      | c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ! [X2] :
      ( hskp18
      | hskp28
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ! [X0] :
      ( hskp25
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp4
    | hskp27
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f204,plain,
    ( hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( hskp22
    | hskp0
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    ( hskp12
    | hskp21
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp11 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_50,negated_conjecture,
    ( hskp11
    | hskp22
    | hskp0 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_51,negated_conjecture,
    ( hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_53,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp1 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_57,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp25 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_59,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp18
    | hskp28 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_61,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp19 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_62,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp24 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_74,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f215]) ).

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

cnf(c_76,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp11
    | hskp9 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | hskp21 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_87,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | hskp18 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_91,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_92,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp13
    | hskp10 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_93,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp17
    | hskp5 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_95,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_96,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp15 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_97,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f230]) ).

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

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_107,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_108,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_109,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp27
    | hskp1 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_110,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_115,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_118,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp0
    | hskp4 ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_119,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_120,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp3 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp2 ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_122,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_123,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_124,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_125,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_126,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f251]) ).

cnf(c_128,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f253]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp28
    | c2_1(a23) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp28
    | c1_1(a23) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp28
    | c0_1(a23) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp27
    | c3_1(a13) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp27
    | c2_1(a13) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp27
    | c1_1(a13) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_141,negated_conjecture,
    ( ~ hskp26
    | c3_1(a4) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp26
    | c1_1(a4) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp26
    | c0_1(a4) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_146,negated_conjecture,
    ( ~ hskp25
    | c2_1(a73) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp25
    | c0_1(a73) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_149,negated_conjecture,
    ( ~ c0_1(a64)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_150,negated_conjecture,
    ( ~ hskp24
    | c3_1(a64) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp24
    | c1_1(a64) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp22
    | c1_1(a48) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_161,negated_conjecture,
    ( ~ c0_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_162,negated_conjecture,
    ( ~ hskp21
    | c3_1(a47) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp21
    | c2_1(a47) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_169,negated_conjecture,
    ( ~ c3_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_170,negated_conjecture,
    ( ~ c0_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp19
    | c2_1(a40) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a39)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp18
    | c3_1(a39) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp18
    | c0_1(a39) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp17
    | c0_1(a33) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_185,negated_conjecture,
    ( ~ c1_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp15
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp15
    | c2_1(a28) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_193,negated_conjecture,
    ( ~ c1_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_194,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp13
    | c3_1(a22) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_198,negated_conjecture,
    ( ~ c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_199,negated_conjecture,
    ( ~ c0_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_201,negated_conjecture,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp11
    | c1_1(a19) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_206,negated_conjecture,
    ( ~ c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_207,negated_conjecture,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_209,negated_conjecture,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_210,negated_conjecture,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_211,negated_conjecture,
    ( ~ c0_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_213,negated_conjecture,
    ( ~ c2_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp8
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_226,negated_conjecture,
    ( ~ c2_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp5
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_230,negated_conjecture,
    ( ~ c1_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_232,negated_conjecture,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_233,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp3
    | c2_1(a5) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_237,negated_conjecture,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_238,negated_conjecture,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_242,negated_conjecture,
    ( ~ c1_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_244,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_245,negated_conjecture,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_246,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_248,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_248,c_244,c_232,c_140,c_53]) ).

cnf(c_337,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_244,c_232,c_140,c_53,c_120]) ).

cnf(c_340,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp27
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_244,c_232,c_140,c_53,c_109]) ).

cnf(c_343,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp9
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_244,c_232,c_140,c_53,c_108]) ).

cnf(c_349,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_244,c_232,c_140,c_53,c_61]) ).

cnf(c_352,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp0
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_244,c_232,c_140,c_53,c_118]) ).

cnf(c_367,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_244,c_232,c_140,c_53,c_96]) ).

cnf(c_373,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp11
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_244,c_232,c_140,c_53,c_76]) ).

cnf(c_379,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_244,c_232,c_140,c_53,c_62]) ).

cnf(c_385,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_244,c_232,c_140,c_53,c_93]) ).

cnf(c_386,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp5 ),
    inference(renaming,[status(thm)],[c_385]) ).

cnf(c_388,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_244,c_232,c_140,c_53,c_92]) ).

cnf(c_389,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp10 ),
    inference(renaming,[status(thm)],[c_388]) ).

cnf(c_403,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp18
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_244,c_232,c_140,c_53,c_59]) ).

cnf(c_404,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp18
    | hskp28 ),
    inference(renaming,[status(thm)],[c_403]) ).

cnf(c_409,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_244,c_232,c_140,c_53,c_57]) ).

cnf(c_410,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp25 ),
    inference(renaming,[status(thm)],[c_409]) ).

cnf(c_412,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_244,c_232,c_140,c_53,c_124]) ).

cnf(c_414,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_244,c_232,c_140,c_53,c_122]) ).

cnf(c_415,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_244,c_232,c_140,c_53,c_121]) ).

cnf(c_417,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_418,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_244,c_232,c_140,c_53,c_107]) ).

cnf(c_419,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_425,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_244,c_232,c_140,c_53,c_116]) ).

cnf(c_426,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_430,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_244,c_232,c_140,c_53,c_103]) ).

cnf(c_431,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_244,c_232,c_140,c_53,c_102]) ).

cnf(c_433,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_436,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_244,c_232,c_140,c_53,c_95]) ).

cnf(c_437,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_438,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_244,c_232,c_140,c_53,c_89]) ).

cnf(c_439,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_450,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_244,c_232,c_140,c_53,c_91]) ).

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

cnf(c_453,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_244,c_232,c_140,c_53,c_88]) ).

cnf(c_454,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_455,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_244,c_232,c_140,c_53,c_79]) ).

cnf(c_456,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c2_1(X0)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_459,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_244,c_232,c_140,c_53,c_66]) ).

cnf(c_460,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_459]) ).

cnf(c_463,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_244,c_232,c_140,c_53,c_87]) ).

cnf(c_464,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_467,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_244,c_232,c_140,c_53,c_123]) ).

cnf(c_468,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_471,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_110,c_277]) ).

cnf(c_472,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_244,c_232,c_140,c_53,c_101]) ).

cnf(c_474,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_244,c_232,c_140,c_53,c_128]) ).

cnf(c_476,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_477,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_126,c_244,c_232,c_140,c_53,c_126]) ).

cnf(c_478,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_244,c_232,c_140,c_53,c_117]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_481,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_244,c_232,c_140,c_53,c_115]) ).

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

cnf(c_483,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_244,c_232,c_140,c_53,c_125]) ).

cnf(c_484,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_244,c_232,c_140,c_53,c_119]) ).

cnf(c_486,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_244,c_232,c_140,c_53,c_114]) ).

cnf(c_488,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_489,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_244,c_232,c_140,c_53,c_97]) ).

cnf(c_490,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_489]) ).

cnf(c_493,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_244,c_232,c_140,c_53,c_80]) ).

cnf(c_494,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_493]) ).

cnf(c_495,plain,
    ( ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_244,c_232,c_140,c_53,c_75]) ).

cnf(c_496,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_497,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_244,c_232,c_140,c_53,c_74]) ).

cnf(c_498,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_499,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_244,c_232,c_140,c_53,c_90]) ).

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

cnf(c_503,plain,
    ( ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_244,c_232,c_140,c_53,c_72]) ).

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

cnf(c_505,plain,
    ( c1_1(X2)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_244,c_232,c_140,c_53,c_71,c_70]) ).

cnf(c_506,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_2106,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(a73) ),
    inference(resolution,[status(thm)],[c_410,c_147]) ).

cnf(c_2107,plain,
    ( ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ c0_1(a1)
    | c0_1(a73) ),
    inference(instantiation,[status(thm)],[c_2106]) ).

cnf(c_2120,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(a73) ),
    inference(resolution,[status(thm)],[c_410,c_146]) ).

cnf(c_2121,plain,
    ( ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ c0_1(a1)
    | c2_1(a73) ),
    inference(instantiation,[status(thm)],[c_2120]) ).

cnf(c_2134,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(a73) ),
    inference(resolution,[status(thm)],[c_410,c_145]) ).

cnf(c_2135,plain,
    ( ~ c3_1(a73)
    | ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_2134]) ).

cnf(c_3366,plain,
    ( c2_1(a47)
    | hskp12
    | hskp11 ),
    inference(resolution,[status(thm)],[c_49,c_163]) ).

cnf(c_3376,plain,
    ( c3_1(a47)
    | hskp12
    | hskp11 ),
    inference(resolution,[status(thm)],[c_49,c_162]) ).

cnf(c_3386,plain,
    ( ~ c0_1(a47)
    | hskp12
    | hskp11 ),
    inference(resolution,[status(thm)],[c_49,c_161]) ).

cnf(c_3573,plain,
    ( ~ c0_1(a15)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_211]) ).

cnf(c_3580,plain,
    ( ~ c1_1(a15)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_210]) ).

cnf(c_3587,plain,
    ( ~ c2_1(a15)
    | hskp27 ),
    inference(resolution,[status(thm)],[c_51,c_209]) ).

cnf(c_6552,plain,
    ( c1_1(a19)
    | hskp22
    | hskp0 ),
    inference(resolution,[status(thm)],[c_50,c_203]) ).

cnf(c_6562,plain,
    ( c2_1(a19)
    | hskp22
    | hskp0 ),
    inference(resolution,[status(thm)],[c_50,c_202]) ).

cnf(c_6572,plain,
    ( ~ c0_1(a19)
    | hskp22
    | hskp0 ),
    inference(resolution,[status(thm)],[c_50,c_201]) ).

cnf(c_6582,plain,
    ( c1_1(a19)
    | hskp12
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_203]) ).

cnf(c_6592,plain,
    ( c2_1(a19)
    | hskp12
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_202]) ).

cnf(c_6602,plain,
    ( ~ c0_1(a19)
    | hskp12
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_201]) ).

cnf(c_15748,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_506]) ).

cnf(c_15750,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_504]) ).

cnf(c_15751,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_504]) ).

cnf(c_15754,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_500]) ).

cnf(c_15755,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_500]) ).

cnf(c_15756,negated_conjecture,
    ( sP2_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_15757,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_498]) ).

cnf(c_15758,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_498]) ).

cnf(c_15760,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_496]) ).

cnf(c_15761,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_496]) ).

cnf(c_15763,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_494]) ).

cnf(c_15764,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_494]) ).

cnf(c_15765,negated_conjecture,
    ( sP2_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_15769,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_490]) ).

cnf(c_15771,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_488]) ).

cnf(c_15772,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_488]) ).

cnf(c_15773,negated_conjecture,
    ( sP10_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_15774,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_486]) ).

cnf(c_15775,negated_conjecture,
    ( sP4_iProver_def
    | sP7_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_15776,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_484]) ).

cnf(c_15779,negated_conjecture,
    ( sP3_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_15780,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_480]) ).

cnf(c_15781,negated_conjecture,
    ( sP2_iProver_def
    | sP17_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_15782,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_478]) ).

cnf(c_15783,negated_conjecture,
    ( sP11_iProver_def
    | sP20_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_15784,negated_conjecture,
    ( sP7_iProver_def
    | sP11_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_15785,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_474]) ).

cnf(c_15786,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_474]) ).

cnf(c_15787,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_474]) ).

cnf(c_15788,negated_conjecture,
    ( sP24_iProver_def
    | sP25_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_15789,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_472]) ).

cnf(c_15792,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_468]) ).

cnf(c_15793,negated_conjecture,
    ( sP8_iProver_def
    | sP19_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_15796,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_464]) ).

cnf(c_15797,negated_conjecture,
    ( hskp19
    | sP18_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_15799,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_def])],[c_460]) ).

cnf(c_15800,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

cnf(c_15802,negated_conjecture,
    ( hskp21
    | sP9_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

cnf(c_15803,negated_conjecture,
    ( hskp18
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_15804,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_15810,negated_conjecture,
    ( hskp15
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

cnf(c_15811,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP32_iProver_def])],[c_437]) ).

cnf(c_15812,negated_conjecture,
    ( hskp3
    | sP24_iProver_def
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

cnf(c_15814,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP33_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP33_iProver_def])],[c_433]) ).

cnf(c_15816,negated_conjecture,
    ( hskp28
    | sP18_iProver_def
    | sP33_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_15818,negated_conjecture,
    ( hskp5
    | sP17_iProver_def
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_15821,negated_conjecture,
    ( hskp4
    | sP22_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

cnf(c_15822,negated_conjecture,
    ( hskp2
    | sP23_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_15823,negated_conjecture,
    ( hskp1
    | sP28_iProver_def
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_15824,negated_conjecture,
    ( hskp0
    | sP20_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_15826,negated_conjecture,
    ( hskp18
    | hskp28
    | sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

cnf(c_15831,negated_conjecture,
    ( hskp13
    | hskp10
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

cnf(c_15832,negated_conjecture,
    ( hskp17
    | hskp5
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

cnf(c_15834,negated_conjecture,
    ( hskp22
    | hskp24
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_379]) ).

cnf(c_15836,negated_conjecture,
    ( hskp11
    | hskp9
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_373]) ).

cnf(c_15838,negated_conjecture,
    ( hskp13
    | hskp15
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

cnf(c_15843,negated_conjecture,
    ( hskp0
    | hskp4
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

cnf(c_15845,negated_conjecture,
    ( hskp9
    | hskp8
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_343]) ).

cnf(c_15846,negated_conjecture,
    ( hskp27
    | hskp1
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

cnf(c_15847,negated_conjecture,
    ( hskp26
    | hskp3
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_337]) ).

cnf(c_15856,negated_conjecture,
    ( sP2_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_15756]) ).

cnf(c_15868,negated_conjecture,
    ( sP2_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_15765]) ).

cnf(c_15880,negated_conjecture,
    ( sP10_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_15773]) ).

cnf(c_15884,negated_conjecture,
    ( sP4_iProver_def
    | sP7_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_15775]) ).

cnf(c_15885,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15751]) ).

cnf(c_15892,negated_conjecture,
    ( sP3_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_15779]) ).

cnf(c_15896,negated_conjecture,
    ( sP2_iProver_def
    | sP17_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_15781]) ).

cnf(c_15900,negated_conjecture,
    ( sP11_iProver_def
    | sP20_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_15783]) ).

cnf(c_15904,negated_conjecture,
    ( sP7_iProver_def
    | sP11_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_15784]) ).

cnf(c_15905,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP11_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15761]) ).

cnf(c_15908,negated_conjecture,
    ( sP24_iProver_def
    | sP25_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_15788]) ).

cnf(c_15920,negated_conjecture,
    ( sP8_iProver_def
    | sP19_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_15793]) ).

cnf(c_15928,negated_conjecture,
    ( hskp19
    | sP18_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_15797]) ).

cnf(c_15929,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_15796]) ).

cnf(c_15934,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP31_iProver_def ),
    inference(demodulation,[status(thm)],[c_15800]) ).

cnf(c_15940,negated_conjecture,
    ( hskp21
    | sP9_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_15802]) ).

cnf(c_15941,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP13_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15764]) ).

cnf(c_15942,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_15758]) ).

cnf(c_15943,negated_conjecture,
    ( hskp18
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_15803]) ).

cnf(c_15945,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP12_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15763]) ).

cnf(c_15946,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_15804]) ).

cnf(c_15964,negated_conjecture,
    ( hskp15
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_15810]) ).

cnf(c_15965,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15755]) ).

cnf(c_15967,negated_conjecture,
    ( hskp3
    | sP24_iProver_def
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_15812]) ).

cnf(c_15976,negated_conjecture,
    ( hskp28
    | sP18_iProver_def
    | sP33_iProver_def ),
    inference(demodulation,[status(thm)],[c_15816]) ).

cnf(c_15978,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP33_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15814]) ).

cnf(c_15980,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15748]) ).

cnf(c_15982,negated_conjecture,
    ( hskp5
    | sP17_iProver_def
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_15818]) ).

cnf(c_15987,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP3_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15750]) ).

cnf(c_15991,negated_conjecture,
    ( hskp4
    | sP22_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_15821]) ).

cnf(c_15992,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP25_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15786]) ).

cnf(c_15994,negated_conjecture,
    ( hskp2
    | sP23_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_15822]) ).

cnf(c_15995,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP23_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15782]) ).

cnf(c_15997,negated_conjecture,
    ( hskp1
    | sP28_iProver_def
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_15823]) ).

cnf(c_16000,negated_conjecture,
    ( hskp0
    | sP20_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_15824]) ).

cnf(c_16001,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP26_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15787]) ).

cnf(c_16002,negated_conjecture,
    ( ~ sP20_iProver_def
    | c1_1(X0)
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15776]) ).

cnf(c_16003,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp25 ),
    inference(demodulation,[status(thm)],[c_410]) ).

cnf(c_16005,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15754]) ).

cnf(c_16006,negated_conjecture,
    ( hskp18
    | hskp28
    | sP31_iProver_def ),
    inference(demodulation,[status(thm)],[c_15826]) ).

cnf(c_16007,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP31_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15799]) ).

cnf(c_16009,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15760]) ).

cnf(c_16015,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15772]) ).

cnf(c_16016,negated_conjecture,
    ( hskp13
    | hskp10
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_15831]) ).

cnf(c_16018,negated_conjecture,
    ( hskp17
    | hskp5
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_15832]) ).

cnf(c_16021,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP32_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15811]) ).

cnf(c_16022,negated_conjecture,
    ( hskp22
    | hskp24
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_15834]) ).

cnf(c_16025,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15757]) ).

cnf(c_16026,negated_conjecture,
    ( hskp11
    | hskp9
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_15836]) ).

cnf(c_16029,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP24_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15785]) ).

cnf(c_16030,negated_conjecture,
    ( hskp13
    | hskp15
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_15838]) ).

cnf(c_16031,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP16_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15769]) ).

cnf(c_16037,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP22_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15780]) ).

cnf(c_16039,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP17_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15771]) ).

cnf(c_16040,negated_conjecture,
    ( hskp0
    | hskp4
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_15843]) ).

cnf(c_16041,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP19_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15774]) ).

cnf(c_16042,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_349]) ).

cnf(c_16045,negated_conjecture,
    ( hskp9
    | hskp8
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_15845]) ).

cnf(c_16047,negated_conjecture,
    ( hskp27
    | hskp1
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_15846]) ).

cnf(c_16048,negated_conjecture,
    ( ~ sP27_iProver_def
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15789]) ).

cnf(c_16049,negated_conjecture,
    ( hskp26
    | hskp3
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_15847]) ).

cnf(c_16050,negated_conjecture,
    ( ~ sP28_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15792]) ).

cnf(c_16158,plain,
    ( ~ c1_1(a1)
    | ~ sP22_iProver_def
    | c0_1(a1)
    | c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_16037]) ).

cnf(c_16162,plain,
    ( ~ c3_1(a1)
    | ~ sP33_iProver_def
    | c0_1(a1)
    | c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_15978]) ).

cnf(c_16166,plain,
    ( ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ sP7_iProver_def
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16169,plain,
    ( ~ c1_1(a1)
    | ~ c0_1(a1)
    | ~ sP10_iProver_def
    | c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_16009]) ).

cnf(c_16172,plain,
    ( ~ c3_1(a1)
    | ~ c1_1(a1)
    | ~ sP23_iProver_def
    | c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_15995]) ).

cnf(c_16185,plain,
    ( ~ c3_1(a47)
    | ~ c2_1(a47)
    | ~ sP2_iProver_def
    | c1_1(a47) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

cnf(c_16187,plain,
    ( ~ c3_1(a22)
    | ~ c2_1(a22)
    | ~ sP2_iProver_def
    | c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

cnf(c_16190,plain,
    ( ~ c2_1(a73)
    | ~ sP3_iProver_def
    | c3_1(a73)
    | c1_1(a73) ),
    inference(instantiation,[status(thm)],[c_15987]) ).

cnf(c_16201,plain,
    ( ~ sP20_iProver_def
    | c1_1(a22)
    | c0_1(a22)
    | c2_1(a22) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

cnf(c_16202,plain,
    ( ~ sP20_iProver_def
    | c1_1(a15)
    | c0_1(a15)
    | c2_1(a15) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

cnf(c_16221,plain,
    ( ~ c0_1(a73)
    | ~ sP8_iProver_def
    | c3_1(a73)
    | c2_1(a73) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

cnf(c_16225,plain,
    ( ~ c0_1(a2)
    | ~ sP8_iProver_def
    | c3_1(a2)
    | c2_1(a2) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

cnf(c_16228,plain,
    ( ~ c0_1(a73)
    | ~ sP24_iProver_def
    | c3_1(a73)
    | c1_1(a73) ),
    inference(instantiation,[status(thm)],[c_16029]) ).

cnf(c_16232,plain,
    ( ~ c0_1(a2)
    | ~ sP24_iProver_def
    | c3_1(a2)
    | c1_1(a2) ),
    inference(instantiation,[status(thm)],[c_16029]) ).

cnf(c_16238,plain,
    ( ~ c1_1(a73)
    | ~ c2_1(a73)
    | ~ sP6_iProver_def
    | c3_1(a73) ),
    inference(instantiation,[status(thm)],[c_16005]) ).

cnf(c_16241,plain,
    ( ~ c1_1(a19)
    | ~ c2_1(a19)
    | ~ sP6_iProver_def
    | c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_16005]) ).

cnf(c_16246,plain,
    ( ~ c3_1(a47)
    | ~ sP17_iProver_def
    | c1_1(a47)
    | c0_1(a47) ),
    inference(instantiation,[status(thm)],[c_16039]) ).

cnf(c_16248,plain,
    ( ~ c3_1(a22)
    | ~ sP17_iProver_def
    | c1_1(a22)
    | c0_1(a22) ),
    inference(instantiation,[status(thm)],[c_16039]) ).

cnf(c_16249,plain,
    ( ~ c3_1(a14)
    | ~ sP17_iProver_def
    | c1_1(a14)
    | c0_1(a14) ),
    inference(instantiation,[status(thm)],[c_16039]) ).

cnf(c_16250,plain,
    ( ~ c3_1(a14)
    | ~ c1_1(a14)
    | ~ sP23_iProver_def
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_15995]) ).

cnf(c_16253,plain,
    ( ~ c1_1(a23)
    | ~ c0_1(a23)
    | ~ sP12_iProver_def
    | c3_1(a23) ),
    inference(instantiation,[status(thm)],[c_15945]) ).

cnf(c_16255,plain,
    ( ~ c1_1(a73)
    | ~ c0_1(a73)
    | ~ sP12_iProver_def
    | c3_1(a73) ),
    inference(instantiation,[status(thm)],[c_15945]) ).

cnf(c_16263,plain,
    ( ~ c3_1(a5)
    | ~ sP17_iProver_def
    | c1_1(a5)
    | c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_16039]) ).

cnf(c_16308,plain,
    ( ~ c3_1(a28)
    | ~ c2_1(a28)
    | ~ sP2_iProver_def
    | c1_1(a28) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

cnf(c_16315,plain,
    ( ~ c2_1(a40)
    | ~ sP16_iProver_def
    | c3_1(a40)
    | c0_1(a40) ),
    inference(instantiation,[status(thm)],[c_16031]) ).

cnf(c_16317,plain,
    ( ~ c2_1(a19)
    | ~ sP16_iProver_def
    | c3_1(a19)
    | c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_16031]) ).

cnf(c_16328,plain,
    ( ~ sP28_iProver_def
    | c3_1(a7)
    | c1_1(a7)
    | c0_1(a7) ),
    inference(instantiation,[status(thm)],[c_16050]) ).

cnf(c_16329,plain,
    ( ~ sP28_iProver_def
    | c3_1(a5)
    | c1_1(a5)
    | c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_16050]) ).

cnf(c_16335,plain,
    ( ~ c3_1(a2)
    | ~ c0_1(a2)
    | ~ sP4_iProver_def
    | c2_1(a2) ),
    inference(instantiation,[status(thm)],[c_15885]) ).

cnf(c_16340,plain,
    ( ~ c3_1(a3)
    | ~ sP17_iProver_def
    | c1_1(a3)
    | c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_16039]) ).

cnf(c_16346,plain,
    ( ~ c3_1(a13)
    | ~ c1_1(a13)
    | ~ sP7_iProver_def
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16348,plain,
    ( ~ c3_1(a47)
    | ~ c1_1(a47)
    | ~ sP7_iProver_def
    | c0_1(a47) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16351,plain,
    ( ~ c3_1(a14)
    | ~ c1_1(a14)
    | ~ sP7_iProver_def
    | c0_1(a14) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16358,plain,
    ( ~ c1_1(a20)
    | ~ sP22_iProver_def
    | c0_1(a20)
    | c2_1(a20) ),
    inference(instantiation,[status(thm)],[c_16037]) ).

cnf(c_16369,plain,
    ( ~ c3_1(a22)
    | ~ sP13_iProver_def
    | c1_1(a22)
    | c2_1(a22) ),
    inference(instantiation,[status(thm)],[c_15941]) ).

cnf(c_16371,plain,
    ( ~ c3_1(a3)
    | ~ sP13_iProver_def
    | c1_1(a3)
    | c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_15941]) ).

cnf(c_16384,plain,
    ( ~ c2_1(a5)
    | ~ sP19_iProver_def
    | c1_1(a5)
    | c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_16041]) ).

cnf(c_16386,plain,
    ( ~ c2_1(a47)
    | ~ sP19_iProver_def
    | c1_1(a47)
    | c0_1(a47) ),
    inference(instantiation,[status(thm)],[c_16041]) ).

cnf(c_16390,plain,
    ( ~ c3_1(a47)
    | ~ c2_1(a47)
    | ~ sP18_iProver_def
    | c0_1(a47) ),
    inference(instantiation,[status(thm)],[c_16015]) ).

cnf(c_16392,plain,
    ( ~ c3_1(a22)
    | ~ c2_1(a22)
    | ~ sP18_iProver_def
    | c0_1(a22) ),
    inference(instantiation,[status(thm)],[c_16015]) ).

cnf(c_16399,plain,
    ( ~ sP20_iProver_def
    | c1_1(a14)
    | c0_1(a14)
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

cnf(c_16442,plain,
    ( ~ c1_1(a48)
    | ~ sP25_iProver_def
    | c3_1(a48)
    | c0_1(a48) ),
    inference(instantiation,[status(thm)],[c_15992]) ).

cnf(c_16444,plain,
    ( ~ c1_1(a20)
    | ~ sP25_iProver_def
    | c3_1(a20)
    | c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_15992]) ).

cnf(c_16447,plain,
    ( ~ c3_1(a4)
    | ~ c1_1(a4)
    | ~ c0_1(a4)
    | hskp25 ),
    inference(instantiation,[status(thm)],[c_16003]) ).

cnf(c_16452,plain,
    ( ~ c0_1(a73)
    | ~ c2_1(a73)
    | ~ sP31_iProver_def
    | c3_1(a73) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

cnf(c_16462,plain,
    ( ~ c3_1(a19)
    | ~ c2_1(a19)
    | ~ sP18_iProver_def
    | c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_16015]) ).

cnf(c_16473,plain,
    ( ~ c0_1(a18)
    | ~ sP24_iProver_def
    | c3_1(a18)
    | c1_1(a18) ),
    inference(instantiation,[status(thm)],[c_16029]) ).

cnf(c_16474,plain,
    ( ~ sP28_iProver_def
    | c3_1(a18)
    | c1_1(a18)
    | c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_16050]) ).

cnf(c_16475,plain,
    ( ~ sP20_iProver_def
    | c1_1(a18)
    | c0_1(a18)
    | c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

cnf(c_16484,plain,
    ( ~ c1_1(a20)
    | c3_1(a20)
    | c2_1(a20)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_16042]) ).

cnf(c_16576,plain,
    ( ~ c2_1(a48)
    | ~ sP16_iProver_def
    | c3_1(a48)
    | c0_1(a48) ),
    inference(instantiation,[status(thm)],[c_16031]) ).

cnf(c_16581,plain,
    ( ~ c1_1(a13)
    | ~ c0_1(a13)
    | ~ c2_1(a13)
    | ~ sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_15942]) ).

cnf(c_16598,plain,
    ( ~ c3_1(a39)
    | ~ c0_1(a39)
    | ~ sP11_iProver_def
    | c1_1(a39) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

cnf(c_16602,plain,
    ( ~ c3_1(a3)
    | ~ c0_1(a3)
    | ~ sP11_iProver_def
    | c1_1(a3) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

cnf(c_16611,plain,
    ( ~ c1_1(a19)
    | ~ sP25_iProver_def
    | c3_1(a19)
    | c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_15992]) ).

cnf(c_16631,plain,
    ( ~ c3_1(a48)
    | ~ c1_1(a48)
    | ~ sP7_iProver_def
    | c0_1(a48) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16635,plain,
    ( ~ c3_1(a19)
    | ~ c1_1(a19)
    | ~ sP7_iProver_def
    | c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16653,plain,
    ( ~ c3_1(a64)
    | ~ c1_1(a64)
    | ~ sP7_iProver_def
    | c0_1(a64) ),
    inference(instantiation,[status(thm)],[c_15965]) ).

cnf(c_16671,plain,
    ( ~ c3_1(a23)
    | ~ c1_1(a23)
    | ~ c0_1(a23)
    | hskp25 ),
    inference(instantiation,[status(thm)],[c_16003]) ).

cnf(c_16672,plain,
    ( ~ c3_1(a13)
    | ~ c1_1(a13)
    | ~ c0_1(a13)
    | hskp25 ),
    inference(instantiation,[status(thm)],[c_16003]) ).

cnf(c_16681,plain,
    ( ~ c1_1(a23)
    | ~ c0_1(a23)
    | ~ c2_1(a23)
    | ~ sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_15942]) ).

cnf(c_16698,plain,
    ( ~ c1_1(a13)
    | ~ c2_1(a13)
    | ~ sP32_iProver_def
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_16021]) ).

cnf(c_16702,plain,
    ( ~ c1_1(a19)
    | ~ c2_1(a19)
    | ~ sP32_iProver_def
    | c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_16021]) ).

cnf(c_16704,plain,
    ( ~ c1_1(a48)
    | ~ c2_1(a48)
    | ~ sP32_iProver_def
    | c0_1(a48) ),
    inference(instantiation,[status(thm)],[c_16021]) ).

cnf(c_16718,plain,
    ( ~ sP28_iProver_def
    | c3_1(a20)
    | c1_1(a20)
    | c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_16050]) ).

cnf(c_16792,plain,
    ( ~ c3_1(a13)
    | ~ c0_1(a13)
    | ~ c2_1(a13)
    | ~ sP30_iProver_def ),
    inference(instantiation,[status(thm)],[c_15929]) ).

cnf(c_16839,plain,
    ( ~ c0_1(a33)
    | ~ c2_1(a33)
    | ~ sP31_iProver_def
    | c3_1(a33) ),
    inference(instantiation,[status(thm)],[c_16007]) ).

cnf(c_16842,plain,
    ( ~ c0_1(a33)
    | ~ sP8_iProver_def
    | c3_1(a33)
    | c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

cnf(c_16844,plain,
    ( ~ c0_1(a18)
    | ~ sP8_iProver_def
    | c3_1(a18)
    | c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

cnf(c_16847,plain,
    ( ~ c1_1(a48)
    | ~ sP26_iProver_def
    | c3_1(a48)
    | c2_1(a48) ),
    inference(instantiation,[status(thm)],[c_16001]) ).

cnf(c_16850,plain,
    ( ~ c1_1(a20)
    | ~ sP26_iProver_def
    | c3_1(a20)
    | c2_1(a20) ),
    inference(instantiation,[status(thm)],[c_16001]) ).

cnf(c_16852,plain,
    ( ~ c1_1(a8)
    | ~ sP26_iProver_def
    | c3_1(a8)
    | c2_1(a8) ),
    inference(instantiation,[status(thm)],[c_16001]) ).

cnf(c_16880,plain,
    ( ~ sP27_iProver_def
    | c3_1(a20)
    | c0_1(a20)
    | c2_1(a20) ),
    inference(instantiation,[status(thm)],[c_16048]) ).

cnf(c_16968,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16880,c_16852,c_16850,c_16847,c_16844,c_16842,c_16839,c_16792,c_16718,c_16704,c_16702,c_16698,c_16681,c_16672,c_16671,c_16653,c_16635,c_16631,c_16611,c_16602,c_16598,c_16581,c_16576,c_16484,c_16473,c_16474,c_16475,c_16462,c_16452,c_16447,c_16444,c_16442,c_16399,c_16392,c_16390,c_16386,c_16384,c_16371,c_16369,c_16358,c_16351,c_16348,c_16346,c_16340,c_16335,c_16329,c_16328,c_16317,c_16315,c_16308,c_16263,c_16255,c_16253,c_16249,c_16250,c_16248,c_16246,c_16241,c_16238,c_16232,c_16228,c_16225,c_16221,c_16202,c_16201,c_16190,c_16187,c_16185,c_16172,c_16169,c_16166,c_16162,c_16158,c_16049,c_16047,c_16045,c_16040,c_16030,c_16026,c_16022,c_16018,c_16016,c_16006,c_16000,c_15997,c_15994,c_15991,c_15982,c_15976,c_15967,c_15964,c_15946,c_15943,c_15940,c_15934,c_15928,c_15920,c_15908,c_15904,c_15900,c_15896,c_15892,c_15884,c_15880,c_15868,c_15856,c_6602,c_6592,c_6582,c_6572,c_6562,c_6552,c_3587,c_3580,c_3573,c_3386,c_3376,c_3366,c_2135,c_2121,c_2107,c_145,c_149,c_157,c_158,c_161,c_169,c_170,c_173,c_177,c_185,c_193,c_194,c_197,c_198,c_199,c_201,c_205,c_206,c_207,c_209,c_210,c_211,c_213,c_214,c_225,c_226,c_229,c_230,c_231,c_233,c_234,c_237,c_238,c_241,c_242,c_245,c_133,c_134,c_135,c_137,c_138,c_139,c_141,c_142,c_143,c_146,c_147,c_150,c_151,c_159,c_162,c_163,c_171,c_174,c_175,c_179,c_186,c_187,c_195,c_202,c_203,c_215,c_227,c_235,c_239,c_243,c_246,c_247]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN500+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:19:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.82/1.18  % SZS status Started for theBenchmark.p
% 3.82/1.18  % SZS status Theorem for theBenchmark.p
% 3.82/1.18  
% 3.82/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.18  
% 3.82/1.18  ------  iProver source info
% 3.82/1.18  
% 3.82/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.82/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/1.18  git: non_committed_changes: false
% 3.82/1.18  
% 3.82/1.18  ------ Parsing...
% 3.82/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  ------ 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 
% 3.82/1.18  
% 3.82/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.82/1.18   gs_s  sp: 133 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.82/1.18  ------ Proving...
% 3.82/1.18  ------ Problem Properties 
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  clauses                                 201
% 3.82/1.18  conjectures                             198
% 3.82/1.18  EPR                                     201
% 3.82/1.18  Horn                                    106
% 3.82/1.18  unary                                   0
% 3.82/1.18  binary                                  88
% 3.82/1.18  lits                                    549
% 3.82/1.18  lits eq                                 0
% 3.82/1.18  fd_pure                                 0
% 3.82/1.18  fd_pseudo                               0
% 3.82/1.18  fd_cond                                 0
% 3.82/1.18  fd_pseudo_cond                          0
% 3.82/1.18  AC symbols                              0
% 3.82/1.18  
% 3.82/1.18  ------ Schedule EPR non Horn non eq is on
% 3.82/1.18  
% 3.82/1.18  ------ no equalities: superposition off 
% 3.82/1.18  
% 3.82/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  ------ 
% 3.82/1.18  Current options:
% 3.82/1.18  ------ 
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  ------ Proving...
% 3.82/1.18  
% 3.82/1.18  
% 3.82/1.18  % SZS status Theorem for theBenchmark.p
% 3.82/1.18  
% 3.82/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.18  
% 3.82/1.18  
%------------------------------------------------------------------------------