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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN509+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:37 PM UTC 2026

% Result   : Theorem 4.55s 1.28s
% Output   : CNFRefutation 4.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212ERROR: Could not build tree for root c_18380ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp8
        | hskp10 )
      & ( hskp3
        | hskp12
        | hskp24 )
      & ( hskp13
        | hskp20
        | hskp6 )
      & ( hskp23
        | hskp10
        | hskp17 )
      & ( hskp13
        | hskp19
        | hskp14 )
      & ( hskp24
        | hskp14
        | hskp30 )
      & ( hskp0
        | hskp6
        | ! [X134] :
            ( ndr1_0
           => ( ~ c3_1(X134)
              | ~ c2_1(X134)
              | ~ c1_1(X134) ) ) )
      & ( hskp15
        | hskp11
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c2_1(X133)
              | ~ c0_1(X133) ) ) )
      & ( hskp0
        | hskp29
        | ! [X132] :
            ( ndr1_0
           => ( ~ c3_1(X132)
              | ~ c2_1(X132)
              | ~ c0_1(X132) ) ) )
      & ( hskp3
        | hskp12
        | ! [X131] :
            ( ndr1_0
           => ( ~ c3_1(X131)
              | ~ c1_1(X131)
              | ~ c0_1(X131) ) ) )
      & ( hskp27
        | hskp26
        | ! [X130] :
            ( ndr1_0
           => ( ~ c3_1(X130)
              | ~ c1_1(X130)
              | ~ c0_1(X130) ) ) )
      & ( hskp8
        | hskp24
        | ! [X129] :
            ( ndr1_0
           => ( ~ c3_1(X129)
              | ~ c1_1(X129)
              | ~ c0_1(X129) ) ) )
      & ( hskp19
        | hskp28
        | ! [X128] :
            ( ndr1_0
           => ( ~ c2_1(X128)
              | ~ c1_1(X128)
              | c3_1(X128) ) ) )
      & ( hskp12
        | hskp14
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c0_1(X127)
              | c3_1(X127) ) ) )
      & ( hskp26
        | hskp30
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c1_1(X126)
              | c2_1(X126) ) ) )
      & ( hskp25
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c1_1(X125)
              | ~ c0_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c1_1(X124)
              | c2_1(X124) ) ) )
      & ( hskp19
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c0_1(X122)
              | c2_1(X122) ) ) )
      & ( hskp30
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) ) )
      & ( hskp16
        | hskp29
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c0_1(X119)
              | c2_1(X119) ) ) )
      & ( hskp8
        | ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | c1_1(X117) ) ) )
      & ( hskp8
        | hskp26
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c1_1(X116) ) ) )
      & ( hskp13
        | hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c0_1(X115)
              | c1_1(X115) ) ) )
      & ( hskp25
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c0_1(X113)
              | c1_1(X113) ) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | c3_1(X112)
              | c2_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( hskp23
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c0_1(X110)
              | c2_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c1_1(X109) ) ) )
      & ( hskp24
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp7
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp11
        | hskp30
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | c2_1(X95)
              | c1_1(X95) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp28
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp19
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp0
        | hskp8
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c0_1(X87) ) ) )
      & ( hskp22
        | hskp21
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp5
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( hskp6
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp8
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp1
        | hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp18
        | hskp6
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | c3_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | ~ c0_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | c3_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp13
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp9
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp1
        | hskp2
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp16
        | hskp30
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c3_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | hskp15
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp2
        | hskp14
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp13
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | hskp29
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp28
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c1_1(X28)
              | ~ c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | hskp8
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp7
        | hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_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) ) ) )
      & ( hskp5
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp1
        | hskp4
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp0
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c3_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a456)
          & c1_1(a456)
          & c0_1(a456)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a447)
          & c2_1(a447)
          & c1_1(a447)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a437)
          & c2_1(a437)
          & c0_1(a437)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a509)
          & ~ c2_1(a509)
          & ~ c0_1(a509)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a492)
          & c2_1(a492)
          & c1_1(a492)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a489)
          & c3_1(a489)
          & c2_1(a489)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a486)
          & c2_1(a486)
          & c1_1(a486)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a484)
          & ~ c2_1(a484)
          & c1_1(a484)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a475)
          & ~ c0_1(a475)
          & c2_1(a475)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c0_1(a472)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a466)
          & ~ c2_1(a466)
          & ~ c1_1(a466)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a463)
          & c2_1(a463)
          & c0_1(a463)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a457)
          & c3_1(a457)
          & c1_1(a457)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a454)
          & ~ c0_1(a454)
          & c3_1(a454)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a452)
          & c1_1(a452)
          & c0_1(a452)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a451)
          & c3_1(a451)
          & c2_1(a451)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a450)
          & c3_1(a450)
          & c1_1(a450)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a449)
          & ~ c1_1(a449)
          & c2_1(a449)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a448)
          & ~ c0_1(a448)
          & c1_1(a448)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a445)
          & ~ c1_1(a445)
          & ~ c0_1(a445)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a444)
          & ~ c0_1(a444)
          & c2_1(a444)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a443)
          & ~ c1_1(a443)
          & c3_1(a443)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a442)
          & c2_1(a442)
          & c0_1(a442)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a441)
          & ~ c2_1(a441)
          & c0_1(a441)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a439)
          & c3_1(a439)
          & c0_1(a439)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a435)
          & ~ c0_1(a435)
          & c1_1(a435)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a434)
          & ~ c1_1(a434)
          & c0_1(a434)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a433)
          & ~ c1_1(a433)
          & ~ c0_1(a433)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a432)
          & ~ c0_1(a432)
          & c3_1(a432)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp8
          | hskp10 )
        & ( hskp3
          | hskp12
          | hskp24 )
        & ( hskp13
          | hskp20
          | hskp6 )
        & ( hskp23
          | hskp10
          | hskp17 )
        & ( hskp13
          | hskp19
          | hskp14 )
        & ( hskp24
          | hskp14
          | hskp30 )
        & ( hskp0
          | hskp6
          | ! [X134] :
              ( ndr1_0
             => ( ~ c3_1(X134)
                | ~ c2_1(X134)
                | ~ c1_1(X134) ) ) )
        & ( hskp15
          | hskp11
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c2_1(X133)
                | ~ c0_1(X133) ) ) )
        & ( hskp0
          | hskp29
          | ! [X132] :
              ( ndr1_0
             => ( ~ c3_1(X132)
                | ~ c2_1(X132)
                | ~ c0_1(X132) ) ) )
        & ( hskp3
          | hskp12
          | ! [X131] :
              ( ndr1_0
             => ( ~ c3_1(X131)
                | ~ c1_1(X131)
                | ~ c0_1(X131) ) ) )
        & ( hskp27
          | hskp26
          | ! [X130] :
              ( ndr1_0
             => ( ~ c3_1(X130)
                | ~ c1_1(X130)
                | ~ c0_1(X130) ) ) )
        & ( hskp8
          | hskp24
          | ! [X129] :
              ( ndr1_0
             => ( ~ c3_1(X129)
                | ~ c1_1(X129)
                | ~ c0_1(X129) ) ) )
        & ( hskp19
          | hskp28
          | ! [X128] :
              ( ndr1_0
             => ( ~ c2_1(X128)
                | ~ c1_1(X128)
                | c3_1(X128) ) ) )
        & ( hskp12
          | hskp14
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c0_1(X127)
                | c3_1(X127) ) ) )
        & ( hskp26
          | hskp30
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c1_1(X126)
                | c2_1(X126) ) ) )
        & ( hskp25
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c1_1(X125)
                | ~ c0_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c1_1(X124)
                | c2_1(X124) ) ) )
        & ( hskp19
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c0_1(X122)
                | c2_1(X122) ) ) )
        & ( hskp30
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) ) )
        & ( hskp16
          | hskp29
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c2_1(X119) ) ) )
        & ( hskp8
          | ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) ) )
        & ( hskp8
          | hskp26
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c1_1(X116) ) ) )
        & ( hskp13
          | hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c0_1(X115)
                | c1_1(X115) ) ) )
        & ( hskp25
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c0_1(X113)
                | c1_1(X113) ) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | c3_1(X112)
                | c2_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( hskp23
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c1_1(X109) ) ) )
        & ( hskp24
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp7
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp11
          | hskp30
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp28
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp19
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp0
          | hskp8
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp22
          | hskp21
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp5
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp8
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp1
          | hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp18
          | hskp6
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp9
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp1
          | hskp2
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp16
          | hskp30
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | hskp15
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp2
          | hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp13
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | hskp29
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp28
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp7
          | hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_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) ) ) )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp1
          | hskp4
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp0
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c3_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a456)
            & c1_1(a456)
            & c0_1(a456)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a447)
            & c2_1(a447)
            & c1_1(a447)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a437)
            & c2_1(a437)
            & c0_1(a437)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a509)
            & ~ c2_1(a509)
            & ~ c0_1(a509)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a492)
            & c2_1(a492)
            & c1_1(a492)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a489)
            & c3_1(a489)
            & c2_1(a489)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a486)
            & c2_1(a486)
            & c1_1(a486)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a484)
            & ~ c2_1(a484)
            & c1_1(a484)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a475)
            & ~ c0_1(a475)
            & c2_1(a475)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c0_1(a472)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a466)
            & ~ c2_1(a466)
            & ~ c1_1(a466)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a463)
            & c2_1(a463)
            & c0_1(a463)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a457)
            & c3_1(a457)
            & c1_1(a457)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a454)
            & ~ c0_1(a454)
            & c3_1(a454)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a452)
            & c1_1(a452)
            & c0_1(a452)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a451)
            & c3_1(a451)
            & c2_1(a451)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a450)
            & c3_1(a450)
            & c1_1(a450)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a449)
            & ~ c1_1(a449)
            & c2_1(a449)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a448)
            & ~ c0_1(a448)
            & c1_1(a448)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a445)
            & ~ c1_1(a445)
            & ~ c0_1(a445)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a444)
            & ~ c0_1(a444)
            & c2_1(a444)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a443)
            & ~ c1_1(a443)
            & c3_1(a443)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a442)
            & c2_1(a442)
            & c0_1(a442)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a441)
            & ~ c2_1(a441)
            & c0_1(a441)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a439)
            & c3_1(a439)
            & c0_1(a439)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a435)
            & ~ c0_1(a435)
            & c1_1(a435)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a434)
            & ~ c1_1(a434)
            & c0_1(a434)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a433)
            & ~ c1_1(a433)
            & ~ c0_1(a433)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a432)
            & ~ c0_1(a432)
            & c3_1(a432)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X134] :
          ( ndr1_0
         => ( ~ c3_1(X134)
            | ~ c2_1(X134)
            | ~ c1_1(X134) ) ) )
    & ( hskp15
      | hskp11
      | ! [X133] :
          ( ndr1_0
         => ( ~ c3_1(X133)
            | ~ c2_1(X133)
            | ~ c0_1(X133) ) ) )
    & ( hskp0
      | hskp29
      | ! [X132] :
          ( ndr1_0
         => ( ~ c3_1(X132)
            | ~ c2_1(X132)
            | ~ c0_1(X132) ) ) )
    & ( hskp3
      | hskp12
      | ! [X131] :
          ( ndr1_0
         => ( ~ c3_1(X131)
            | ~ c1_1(X131)
            | ~ c0_1(X131) ) ) )
    & ( hskp27
      | hskp26
      | ! [X130] :
          ( ndr1_0
         => ( ~ c3_1(X130)
            | ~ c1_1(X130)
            | ~ c0_1(X130) ) ) )
    & ( hskp8
      | hskp24
      | ! [X129] :
          ( ndr1_0
         => ( ~ c3_1(X129)
            | ~ c1_1(X129)
            | ~ c0_1(X129) ) ) )
    & ( hskp19
      | hskp28
      | ! [X128] :
          ( ndr1_0
         => ( ~ c2_1(X128)
            | ~ c1_1(X128)
            | c3_1(X128) ) ) )
    & ( hskp12
      | hskp14
      | ! [X127] :
          ( ndr1_0
         => ( ~ c2_1(X127)
            | ~ c0_1(X127)
            | c3_1(X127) ) ) )
    & ( hskp26
      | hskp30
      | ! [X126] :
          ( ndr1_0
         => ( ~ c3_1(X126)
            | ~ c1_1(X126)
            | c2_1(X126) ) ) )
    & ( hskp25
      | ! [X125] :
          ( ndr1_0
         => ( ~ c3_1(X125)
            | ~ c1_1(X125)
            | ~ c0_1(X125) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c3_1(X124)
            | ~ c1_1(X124)
            | c2_1(X124) ) ) )
    & ( hskp19
      | ! [X123] :
          ( ndr1_0
         => ( ~ c3_1(X123)
            | ~ c1_1(X123)
            | ~ c0_1(X123) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c0_1(X122)
            | c2_1(X122) ) ) )
    & ( hskp30
      | ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | ~ c1_1(X121)
            | ~ c0_1(X121) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c0_1(X120)
            | c2_1(X120) ) ) )
    & ( hskp16
      | hskp29
      | ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | ~ c0_1(X119)
            | c2_1(X119) ) ) )
    & ( hskp8
      | ! [X118] :
          ( ndr1_0
         => ( ~ c1_1(X118)
            | ~ c0_1(X118)
            | c3_1(X118) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) ) )
    & ( hskp8
      | hskp26
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c1_1(X116) ) ) )
    & ( hskp13
      | hskp4
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | ~ c0_1(X115)
            | c1_1(X115) ) ) )
    & ( hskp25
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c0_1(X114)
            | c3_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c0_1(X113)
            | c1_1(X113) ) ) )
    & ( hskp10
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | c3_1(X112)
            | c2_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c0_1(X111)
            | c1_1(X111) ) ) )
    & ( hskp23
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c2_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c1_1(X109) ) ) )
    & ( hskp24
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c3_1(X108)
            | c2_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c0_1(X107)
            | c1_1(X107) ) ) )
    & ( hskp7
      | hskp23
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c3_1(X106)
            | c1_1(X106) ) ) )
    & ( hskp11
      | hskp30
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c3_1(X105)
            | c1_1(X105) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c1_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) ) )
    & ( hskp3
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c2_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | ~ c0_1(X99) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c3_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c2_1(X97)
            | c1_1(X97) ) ) )
    & ( hskp1
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | c3_1(X96)
            | c2_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c2_1(X95)
            | c1_1(X95) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c2_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c0_1(X93)
            | c1_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp28
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c2_1(X91)
            | c1_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp19
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | c3_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp0
      | hskp8
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp22
      | hskp21
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp1
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c1_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp20
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp5
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp6
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp8
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp1
      | hskp19
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp18
      | hskp6
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp16
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c2_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp13
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp14
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | c0_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | ~ c0_1(X59)
            | c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp9
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp1
      | hskp2
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp16
      | hskp30
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | c0_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp9
      | hskp15
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp2
      | hskp14
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp13
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp12
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp11
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp10
      | hskp29
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp28
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp7
      | hskp6
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_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) ) ) )
    & ( hskp5
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c3_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp1
      | hskp4
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp0
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp1
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | c3_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp3
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | c3_1(X6)
            | c1_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | c3_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X134] :
          ( ~ ndr1_0
          | ~ c3_1(X134)
          | ~ c2_1(X134)
          | ~ c1_1(X134) ) )
    & ( hskp15
      | hskp11
      | ! [X133] :
          ( ~ ndr1_0
          | ~ c3_1(X133)
          | ~ c2_1(X133)
          | ~ c0_1(X133) ) )
    & ( hskp0
      | hskp29
      | ! [X132] :
          ( ~ ndr1_0
          | ~ c3_1(X132)
          | ~ c2_1(X132)
          | ~ c0_1(X132) ) )
    & ( hskp3
      | hskp12
      | ! [X131] :
          ( ~ ndr1_0
          | ~ c3_1(X131)
          | ~ c1_1(X131)
          | ~ c0_1(X131) ) )
    & ( hskp27
      | hskp26
      | ! [X130] :
          ( ~ ndr1_0
          | ~ c3_1(X130)
          | ~ c1_1(X130)
          | ~ c0_1(X130) ) )
    & ( hskp8
      | hskp24
      | ! [X129] :
          ( ~ ndr1_0
          | ~ c3_1(X129)
          | ~ c1_1(X129)
          | ~ c0_1(X129) ) )
    & ( hskp19
      | hskp28
      | ! [X128] :
          ( ~ ndr1_0
          | ~ c2_1(X128)
          | ~ c1_1(X128)
          | c3_1(X128) ) )
    & ( hskp12
      | hskp14
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | c3_1(X127) ) )
    & ( hskp26
      | hskp30
      | ! [X126] :
          ( ~ ndr1_0
          | ~ c3_1(X126)
          | ~ c1_1(X126)
          | c2_1(X126) ) )
    & ( hskp25
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c1_1(X125)
          | ~ c0_1(X125) )
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124) ) )
    & ( hskp19
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c0_1(X122)
          | c2_1(X122) ) )
    & ( hskp30
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) )
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c0_1(X120)
          | c2_1(X120) ) )
    & ( hskp16
      | hskp29
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c1_1(X119)
          | ~ c0_1(X119)
          | c2_1(X119) ) )
    & ( hskp8
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c1_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) )
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117) ) )
    & ( hskp8
      | hskp26
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c1_1(X116) ) )
    & ( hskp13
      | hskp4
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c0_1(X115)
          | c1_1(X115) ) )
    & ( hskp25
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c0_1(X113)
          | c1_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c0_1(X112)
          | c3_1(X112)
          | c2_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111) ) )
    & ( hskp23
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c0_1(X110)
          | c2_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109) ) )
    & ( hskp24
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c1_1(X107) ) )
    & ( hskp7
      | hskp23
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | c3_1(X106)
          | c1_1(X106) ) )
    & ( hskp11
      | hskp30
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | c3_1(X105)
          | c1_1(X105) ) )
    & ( ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | ~ c0_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c1_1(X102) ) )
    & ( hskp3
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c0_1(X100)
          | c3_1(X100)
          | c1_1(X100) ) )
    & ( ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | c2_1(X97)
          | c1_1(X97) ) )
    & ( hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95) ) )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp28
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | c2_1(X91)
          | c1_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp19
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp0
      | hskp8
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | c0_1(X87) ) )
    & ( hskp22
      | hskp21
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86) ) )
    & ( hskp1
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84) ) )
    & ( hskp20
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82) ) )
    & ( hskp5
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | c0_1(X80) ) )
    & ( hskp6
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78) ) )
    & ( hskp8
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | c0_1(X76) ) )
    & ( hskp1
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c0_1(X75) ) )
    & ( hskp18
      | hskp6
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74) ) )
    & ( hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69) ) )
    & ( hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64) ) )
    & ( hskp13
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp9
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp1
      | hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp16
      | hskp30
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp9
      | hskp15
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp2
      | hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp13
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp12
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp11
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp10
      | hskp29
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp28
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp7
      | hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_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) ) )
    & ( hskp5
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp1
      | hskp4
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp0
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c3_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c3_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp8
      | hskp10 )
    & ( hskp3
      | hskp12
      | hskp24 )
    & ( hskp13
      | hskp20
      | hskp6 )
    & ( hskp23
      | hskp10
      | hskp17 )
    & ( hskp13
      | hskp19
      | hskp14 )
    & ( hskp24
      | hskp14
      | hskp30 )
    & ( hskp0
      | hskp6
      | ! [X134] :
          ( ~ ndr1_0
          | ~ c3_1(X134)
          | ~ c2_1(X134)
          | ~ c1_1(X134) ) )
    & ( hskp15
      | hskp11
      | ! [X133] :
          ( ~ ndr1_0
          | ~ c3_1(X133)
          | ~ c2_1(X133)
          | ~ c0_1(X133) ) )
    & ( hskp0
      | hskp29
      | ! [X132] :
          ( ~ ndr1_0
          | ~ c3_1(X132)
          | ~ c2_1(X132)
          | ~ c0_1(X132) ) )
    & ( hskp3
      | hskp12
      | ! [X131] :
          ( ~ ndr1_0
          | ~ c3_1(X131)
          | ~ c1_1(X131)
          | ~ c0_1(X131) ) )
    & ( hskp27
      | hskp26
      | ! [X130] :
          ( ~ ndr1_0
          | ~ c3_1(X130)
          | ~ c1_1(X130)
          | ~ c0_1(X130) ) )
    & ( hskp8
      | hskp24
      | ! [X129] :
          ( ~ ndr1_0
          | ~ c3_1(X129)
          | ~ c1_1(X129)
          | ~ c0_1(X129) ) )
    & ( hskp19
      | hskp28
      | ! [X128] :
          ( ~ ndr1_0
          | ~ c2_1(X128)
          | ~ c1_1(X128)
          | c3_1(X128) ) )
    & ( hskp12
      | hskp14
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | c3_1(X127) ) )
    & ( hskp26
      | hskp30
      | ! [X126] :
          ( ~ ndr1_0
          | ~ c3_1(X126)
          | ~ c1_1(X126)
          | c2_1(X126) ) )
    & ( hskp25
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c1_1(X125)
          | ~ c0_1(X125) )
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c1_1(X124)
          | c2_1(X124) ) )
    & ( hskp19
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c0_1(X122)
          | c2_1(X122) ) )
    & ( hskp30
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) )
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c0_1(X120)
          | c2_1(X120) ) )
    & ( hskp16
      | hskp29
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c1_1(X119)
          | ~ c0_1(X119)
          | c2_1(X119) ) )
    & ( hskp8
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c1_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) )
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117) ) )
    & ( hskp8
      | hskp26
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c1_1(X116) ) )
    & ( hskp13
      | hskp4
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c0_1(X115)
          | c1_1(X115) ) )
    & ( hskp25
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c0_1(X113)
          | c1_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c0_1(X112)
          | c3_1(X112)
          | c2_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111) ) )
    & ( hskp23
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c0_1(X110)
          | c2_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c1_1(X109) ) )
    & ( hskp24
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c1_1(X107) ) )
    & ( hskp7
      | hskp23
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | c3_1(X106)
          | c1_1(X106) ) )
    & ( hskp11
      | hskp30
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | c3_1(X105)
          | c1_1(X105) ) )
    & ( ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | ~ c0_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c1_1(X102) ) )
    & ( hskp3
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c0_1(X100)
          | c3_1(X100)
          | c1_1(X100) ) )
    & ( ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | c2_1(X97)
          | c1_1(X97) ) )
    & ( hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | c2_1(X95)
          | c1_1(X95) ) )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp28
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | c2_1(X91)
          | c1_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp19
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp0
      | hskp8
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | c0_1(X87) ) )
    & ( hskp22
      | hskp21
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86) ) )
    & ( hskp1
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84) ) )
    & ( hskp20
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82) ) )
    & ( hskp5
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | c0_1(X80) ) )
    & ( hskp6
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78) ) )
    & ( hskp8
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | c0_1(X76) ) )
    & ( hskp1
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c0_1(X75) ) )
    & ( hskp18
      | hskp6
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | c3_1(X74)
          | c0_1(X74) ) )
    & ( hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c0_1(X72) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c1_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69) ) )
    & ( hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | c3_1(X67)
          | c0_1(X67) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64) ) )
    & ( hskp13
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp9
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp1
      | hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp16
      | hskp30
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp9
      | hskp15
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp2
      | hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp13
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp12
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp11
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp10
      | hskp29
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp28
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp7
      | hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_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) ) )
    & ( hskp5
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c3_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp1
      | hskp4
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp0
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c3_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c3_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a456)
        & c1_1(a456)
        & c0_1(a456)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a447)
        & c2_1(a447)
        & c1_1(a447)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a437)
        & c2_1(a437)
        & c0_1(a437)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a509)
        & ~ c2_1(a509)
        & ~ c0_1(a509)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a492)
        & c2_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a489)
        & c3_1(a489)
        & c2_1(a489)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a486)
        & c2_1(a486)
        & c1_1(a486)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a484)
        & ~ c2_1(a484)
        & c1_1(a484)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a475)
        & ~ c0_1(a475)
        & c2_1(a475)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c0_1(a472)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a466)
        & ~ c2_1(a466)
        & ~ c1_1(a466)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a463)
        & c2_1(a463)
        & c0_1(a463)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a457)
        & c3_1(a457)
        & c1_1(a457)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a454)
        & ~ c0_1(a454)
        & c3_1(a454)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a452)
        & c1_1(a452)
        & c0_1(a452)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a451)
        & c3_1(a451)
        & c2_1(a451)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a450)
        & c3_1(a450)
        & c1_1(a450)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a449)
        & ~ c1_1(a449)
        & c2_1(a449)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a448)
        & ~ c0_1(a448)
        & c1_1(a448)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a445)
        & ~ c1_1(a445)
        & ~ c0_1(a445)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a444)
        & ~ c0_1(a444)
        & c2_1(a444)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a443)
        & ~ c1_1(a443)
        & c3_1(a443)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a442)
        & c2_1(a442)
        & c0_1(a442)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a441)
        & ~ c2_1(a441)
        & c0_1(a441)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a439)
        & c3_1(a439)
        & c0_1(a439)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a435)
        & ~ c0_1(a435)
        & c1_1(a435)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a434)
        & ~ c1_1(a434)
        & c0_1(a434)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a433)
        & ~ c1_1(a433)
        & ~ c0_1(a433)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a432)
        & ~ c0_1(a432)
        & c3_1(a432)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp1
    | hskp8
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp3
    | hskp12
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp13
    | hskp20
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp23
    | hskp10
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp13
    | hskp19
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp24
    | hskp14
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X134] :
      ( hskp0
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X134)
      | ~ c2_1(X134)
      | ~ c1_1(X134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X133] :
      ( hskp15
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X133)
      | ~ c2_1(X133)
      | ~ c0_1(X133) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X132] :
      ( hskp0
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X132)
      | ~ c2_1(X132)
      | ~ c0_1(X132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X131] :
      ( hskp3
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X131)
      | ~ c1_1(X131)
      | ~ c0_1(X131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X130] :
      ( hskp27
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X130)
      | ~ c1_1(X130)
      | ~ c0_1(X130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X129] :
      ( hskp8
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X129)
      | ~ c1_1(X129)
      | ~ c0_1(X129) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X128] :
      ( hskp19
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X128)
      | ~ c1_1(X128)
      | c3_1(X128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X127] :
      ( hskp12
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X127)
      | ~ c0_1(X127)
      | c3_1(X127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X126] :
      ( hskp26
      | hskp30
      | ~ ndr1_0
      | ~ c3_1(X126)
      | ~ c1_1(X126)
      | c2_1(X126) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X119] :
      ( hskp16
      | hskp29
      | ~ ndr1_0
      | ~ c1_1(X119)
      | ~ c0_1(X119)
      | c2_1(X119) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X116] :
      ( hskp8
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X116)
      | ~ c0_1(X116)
      | c1_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X115] :
      ( hskp13
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X115)
      | ~ c0_1(X115)
      | c1_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X106] :
      ( hskp7
      | hskp23
      | ~ ndr1_0
      | ~ c2_1(X106)
      | c3_1(X106)
      | c1_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X105] :
      ( hskp11
      | hskp30
      | ~ ndr1_0
      | ~ c2_1(X105)
      | c3_1(X105)
      | c1_1(X105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X87] :
      ( hskp0
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | c0_1(X87) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X86] :
      ( hskp22
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c2_1(X86)
      | c0_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X75] :
      ( hskp1
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c0_1(X75) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X74] :
      ( hskp18
      | hskp6
      | ~ ndr1_0
      | ~ c2_1(X74)
      | c3_1(X74)
      | c0_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X48] :
      ( hskp1
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X48)
      | c2_1(X48)
      | c0_1(X48) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X47] :
      ( hskp16
      | hskp30
      | ~ ndr1_0
      | ~ c3_1(X47)
      | c2_1(X47)
      | c0_1(X47) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X37] :
      ( hskp9
      | hskp15
      | ~ ndr1_0
      | ~ c1_1(X37)
      | c2_1(X37)
      | c0_1(X37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X36] :
      ( hskp2
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X36)
      | c2_1(X36)
      | c0_1(X36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X29] :
      ( hskp10
      | hskp29
      | ~ ndr1_0
      | c3_1(X29)
      | c2_1(X29)
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X26] :
      ( hskp9
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X26)
      | c1_1(X26)
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X25] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c1_1(X25)
      | c0_1(X25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X20] :
      ( hskp1
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X20)
      | c1_1(X20)
      | c0_1(X20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X19] :
      ( hskp0
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X19)
      | c1_1(X19)
      | c0_1(X19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c2_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a509)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c2_1(a509)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ c0_1(a509)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c2_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c0_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c2_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c0_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c2_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c1_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c2_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c1_1(a475)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c0_1(a475)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c2_1(a475)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a474)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a474)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a474)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c1_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c2_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ c1_1(a466)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c1_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c2_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c1_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a454)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a454)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c3_1(a454)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c1_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c0_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c1_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c3_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c2_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c0_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c1_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c1_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c2_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c2_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c0_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c1_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ c0_1(a445)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c1_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c3_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c2_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c2_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a439)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c3_1(a439)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a439)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c1_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c1_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c0_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a433)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c1_1(a433)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ c0_1(a433)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c2_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ c0_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( c3_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c3_1(a432)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a432) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a432) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_54,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a433) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a433) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a433) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a434)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a434) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a434) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a435)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a435) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a435) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a439)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a439)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a439) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a441)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a441) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a441) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_75,negated_conjecture,
    ( c2_1(a442)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a442) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_78,negated_conjecture,
    ( c3_1(a443)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a443) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a443) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_82,negated_conjecture,
    ( c2_1(a444)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a444) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a444) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a445) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a445) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a445) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_90,negated_conjecture,
    ( c1_1(a448)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a448) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a448) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a449)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a449) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a449) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a450)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a450) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_102,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a451) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_105,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_107,negated_conjecture,
    ( c1_1(a452)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a452) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( c3_1(a454)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a454) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a454) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a457)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a457) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_119,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a463) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_122,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a466) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a466) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a466) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_126,negated_conjecture,
    ( c0_1(a467)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a467) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a467) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_130,negated_conjecture,
    ( c0_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a472)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a472) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a474)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_135,negated_conjecture,
    ( c1_1(a474)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a474) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_138,negated_conjecture,
    ( c2_1(a475)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a475) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a475) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_142,negated_conjecture,
    ( c1_1(a484)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a484) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a484) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_147,negated_conjecture,
    ( c2_1(a486)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a486) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_150,negated_conjecture,
    ( c2_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_151,negated_conjecture,
    ( c3_1(a489)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a489) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_154,negated_conjecture,
    ( c1_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_155,negated_conjecture,
    ( c2_1(a492)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a492) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_158,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a509) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_159,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a509) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a509) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a437)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a447)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_171,negated_conjecture,
    ( c1_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_172,negated_conjecture,
    ( c2_1(a456)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp2
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp16
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp21
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp0
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp11
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp26
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_241,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_242,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_243,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_244,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_245,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_246,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp0
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_247,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_248,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp13 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_249,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp10 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_250,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp6 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_251,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_252,negated_conjecture,
    ( hskp10
    | hskp8
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_286,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_247,c_169,c_145,c_105]) ).

tcf(c_348,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_188,c_286]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_247,c_169,c_145,c_105,c_226]) ).

tcf(c_354,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp11
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_247,c_169,c_145,c_105,c_225]) ).

tcf(c_357,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_247,c_169,c_145,c_105,c_210]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_247,c_169,c_145,c_105,c_209]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_247,c_169,c_145,c_105,c_198]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp16
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_247,c_169,c_145,c_105,c_197]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_247,c_169,c_145,c_105,c_193]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp2
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_247,c_169,c_145,c_105,c_192]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_247,c_169,c_145,c_105,c_186]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_247,c_169,c_145,c_105,c_185]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_247,c_169,c_145,c_105,c_182]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_247,c_169,c_145,c_105,c_181]) ).

tcf(c_387,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_247,c_169,c_145,c_105,c_240]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_387]) ).

tcf(c_390,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_247,c_169,c_145,c_105,c_239]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_390]) ).

tcf(c_393,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp26
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_247,c_169,c_145,c_105,c_238]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp26
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_393]) ).

tcf(c_396,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_247,c_169,c_145,c_105,c_234]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_399,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_247,c_169,c_145,c_105,c_232]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_399]) ).

tcf(c_402,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp4
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_247,c_169,c_145,c_105,c_231]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp4
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

tcf(c_405,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_247,c_169,c_145,c_105,c_217]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_405]) ).

tcf(c_408,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp21
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_247,c_169,c_145,c_105,c_216]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp21
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_408]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_247,c_169,c_145,c_105,c_246]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_414,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_247,c_169,c_145,c_105,c_245]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_417,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_247,c_169,c_145,c_105,c_244]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_417]) ).

tcf(c_420,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_247,c_169,c_145,c_105,c_243]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_420]) ).

tcf(c_423,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_247,c_169,c_145,c_105,c_242]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_426,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp8
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_247,c_169,c_145,c_105,c_241]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp8
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_247,c_169,c_145,c_105,c_175]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_247,c_169,c_145,c_105,c_174]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_247,c_169,c_145,c_105,c_221]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_247,c_169,c_145,c_105,c_219]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_247,c_169,c_145,c_105,c_218]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_247,c_169,c_145,c_105,c_199]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_443,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_247,c_169,c_145,c_105,c_190]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_247,c_169,c_145,c_105,c_189]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_247,c_169,c_145,c_105,c_184]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_247,c_169,c_145,c_105,c_183]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_247,c_169,c_145,c_105,c_177]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_247,c_169,c_145,c_105,c_176]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_247,c_169,c_145,c_105,c_229]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_247,c_169,c_145,c_105,c_227]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_247,c_169,c_145,c_105,c_223]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_247,c_169,c_145,c_105,c_214]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_247,c_169,c_145,c_105,c_206]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_247,c_169,c_145,c_105,c_204]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_247,c_169,c_145,c_105,c_203]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_247,c_169,c_145,c_105,c_187]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_247,c_169,c_145,c_105,c_180]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_247,c_169,c_145,c_105,c_233]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_247,c_169,c_145,c_105,c_230]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_477,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_247,c_169,c_145,c_105,c_228]) ).

tcf(c_478,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_477]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_247,c_169,c_145,c_105,c_215]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_247,c_169,c_145,c_105,c_213]) ).

tcf(c_482,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_481]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_247,c_169,c_145,c_105,c_212]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_247,c_169,c_145,c_105,c_211]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_247,c_169,c_145,c_105,c_208]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_247,c_169,c_145,c_105,c_191]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_247,c_169,c_145,c_105,c_237]) ).

tcf(c_493,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_492]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_247,c_169,c_145,c_105,c_236]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_498,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_247,c_169,c_145,c_105,c_235]) ).

tcf(c_499,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_498]) ).

tcf(c_500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_247,c_169,c_145,c_105,c_173]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_500]) ).

tcf(c_502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_247,c_169,c_145,c_105,c_205]) ).

tcf(c_503,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_502]) ).

tcf(c_504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_247,c_169,c_145,c_105,c_200]) ).

tcf(c_505,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_504]) ).

tcf(c_506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_247,c_169,c_145,c_105,c_196]) ).

tcf(c_507,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_506]) ).

tcf(c_508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_247,c_169,c_145,c_105,c_194]) ).

tcf(c_509,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_508]) ).

tcf(c_510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_247,c_169,c_145,c_105,c_220,c_448]) ).

tcf(c_511,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_510]) ).

tcf(c_513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_247,c_169,c_145,c_105,c_202]) ).

tcf(c_514,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_513]) ).

tcf(c_515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_247,c_169,c_145,c_105,c_195]) ).

tcf(c_516,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_515]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_247,c_169,c_145,c_105,c_178]) ).

tcf(c_518,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_517]) ).

tcf(c_519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_247,c_169,c_145,c_105,c_222]) ).

tcf(c_520,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_519]) ).

tcf(c_521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_247,c_169,c_145,c_105,c_207]) ).

tcf(c_522,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_521]) ).

tcf(c_523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c0_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_247,c_169,c_145,c_105,c_201]) ).

tcf(c_524,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c0_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_523]) ).

tcf(c_525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_247,c_169,c_145,c_105,c_179]) ).

tcf(c_526,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_525]) ).

tcf(c_527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_247,c_169,c_145,c_105,c_224]) ).

tcf(c_528,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_527]) ).

tcf(c_1354,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_452,c_460]) ).

tcf(c_17037,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1354]) ).

tcf(c_17038,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1354]) ).

tcf(c_17039,plain,
    ( iPr_def_11
    | iPr_def_10
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1354]) ).

tcf(c_17040,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_528]) ).

tcf(c_17041,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_528]) ).

tcf(c_17042,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_528]) ).

tcf(c_17043,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).

tcf(c_17044,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_526]) ).

tcf(c_17045,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_526]) ).

tcf(c_17046,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).

tcf(c_17047,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_524]) ).

tcf(c_17048,negated_conjecture,
    ( iPr_def_17
    | iPr_def_14
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_524]) ).

tcf(c_17049,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_522]) ).

tcf(c_17050,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_522]) ).

tcf(c_17051,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_522]) ).

tcf(c_17052,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

tcf(c_17053,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_520]) ).

tcf(c_17054,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_520]) ).

tcf(c_17055,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_518]) ).

tcf(c_17056,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_518]) ).

tcf(c_17057,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_17058,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_516]) ).

tcf(c_17059,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_516]) ).

tcf(c_17060,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_516]) ).

tcf(c_17061,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

tcf(c_17062,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_514]) ).

tcf(c_17063,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).

tcf(c_17064,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_511]) ).

tcf(c_17065,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_511]) ).

tcf(c_17066,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_511]) ).

tcf(c_17067,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_17068,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_509]) ).

tcf(c_17069,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

tcf(c_17070,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_507]) ).

tcf(c_17071,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_507]) ).

tcf(c_17072,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | iPr_def_26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

tcf(c_17073,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_505]) ).

tcf(c_17074,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

tcf(c_17075,negated_conjecture,
    ( iPr_def_21
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

tcf(c_17076,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_501]) ).

tcf(c_17077,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_501]) ).

tcf(c_17078,negated_conjecture,
    ( iPr_def_36
    | iPr_def_35
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_17079,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

tcf(c_17080,negated_conjecture,
    ( iPr_def_28
    | iPr_def_14
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_17081,negated_conjecture,
    ( iPr_def_27
    | iPr_def_14
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

tcf(c_17082,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_491]) ).

tcf(c_17083,negated_conjecture,
    ( iPr_def_37
    | iPr_def_14
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_17084,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_17085,negated_conjecture,
    ( iPr_def_31
    | iPr_def_24
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_17086,negated_conjecture,
    ( iPr_def_27
    | iPr_def_24
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_17087,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_17088,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_480]) ).

tcf(c_17089,negated_conjecture,
    ( iPr_def_38
    | iPr_def_31
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_17090,negated_conjecture,
    ( iPr_def_38
    | iPr_def_28
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_17091,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_476]) ).

tcf(c_17092,negated_conjecture,
    ( iPr_def_39
    | iPr_def_25
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_17093,negated_conjecture,
    ( iPr_def_33
    | iPr_def_18
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_17094,negated_conjecture,
    ( iPr_def_28
    | iPr_def_15
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_17095,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_470]) ).

tcf(c_17096,negated_conjecture,
    ( iPr_def_40
    | iPr_def_14
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

tcf(c_17097,negated_conjecture,
    ( iPr_def_31
    | iPr_def_19
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_17098,negated_conjecture,
    ( iPr_def_31
    | iPr_def_19
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_17099,negated_conjecture,
    ( iPr_def_19
    | iPr_def_11
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_17100,negated_conjecture,
    ( iPr_def_31
    | iPr_def_13
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_17101,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_458]) ).

tcf(c_17102,negated_conjecture,
    ( iPr_def_41
    | iPr_def_38
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_17103,negated_conjecture,
    ( iPr_def_32
    | iPr_def_25
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_17104,negated_conjecture,
    ( iPr_def_38
    | iPr_def_35
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_17105,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_450]) ).

tcf(c_17106,negated_conjecture,
    ( iPr_def_42
    | iPr_def_34
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_17107,negated_conjecture,
    ( iPr_def_42
    | iPr_def_28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_17108,negated_conjecture,
    ( iPr_def_37
    | iPr_def_29
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_17109,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_17110,negated_conjecture,
    ( iPr_def_19
    | iPr_def_17
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_17111,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_43
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_439]) ).

tcf(c_17112,negated_conjecture,
    ( iPr_def_43
    | iPr_def_22
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_17113,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_17114,negated_conjecture,
    ( iPr_def_32
    | iPr_def_21
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_17115,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_17116,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_17117,negated_conjecture,
    ( iPr_def_14
    | hskp24
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_17118,negated_conjecture,
    ( iPr_def_14
    | hskp27
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_17119,negated_conjecture,
    ( iPr_def_14
    | hskp12
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

tcf(c_17120,negated_conjecture,
    ( iPr_def_16
    | hskp29
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

tcf(c_17121,negated_conjecture,
    ( iPr_def_16
    | hskp15
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_17122,negated_conjecture,
    ( iPr_def_20
    | hskp6
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_17123,negated_conjecture,
    ( iPr_def_31
    | hskp22
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

tcf(c_17124,negated_conjecture,
    ( iPr_def_31
    | hskp8
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

tcf(c_17125,negated_conjecture,
    ( iPr_def_25
    | hskp13
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

tcf(c_17126,negated_conjecture,
    ( iPr_def_25
    | hskp26
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

tcf(c_17127,negated_conjecture,
    ( iPr_def_11
    | hskp29
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_17128,negated_conjecture,
    ( iPr_def_27
    | hskp30
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

tcf(c_17129,negated_conjecture,
    ( iPr_def_39
    | hskp14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_391]) ).

tcf(c_17130,negated_conjecture,
    ( iPr_def_22
    | hskp28
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).

tcf(c_17131,negated_conjecture,
    ( iPr_def_15
    | hskp28
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_17132,negated_conjecture,
    ( iPr_def_15
    | hskp4
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_17133,negated_conjecture,
    ( iPr_def_42
    | hskp7
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

tcf(c_17134,negated_conjecture,
    ( iPr_def_42
    | hskp9
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

tcf(c_17135,negated_conjecture,
    ( iPr_def_37
    | hskp14
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_17136,negated_conjecture,
    ( iPr_def_37
    | hskp15
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

tcf(c_17137,negated_conjecture,
    ( iPr_def_26
    | hskp30
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_17138,negated_conjecture,
    ( iPr_def_26
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

tcf(c_17139,negated_conjecture,
    ( iPr_def_19
    | hskp18
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_17140,negated_conjecture,
    ( iPr_def_19
    | hskp19
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

tcf(c_17141,negated_conjecture,
    ( iPr_def_34
    | hskp30
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_354]) ).

tcf(c_17142,negated_conjecture,
    ( iPr_def_34
    | hskp23
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_351]) ).

tcf(c_17143,negated_conjecture,
    ( iPr_def_40
    | hskp29
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_348]) ).

tcf(c_18380,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_17143,c_17142,c_17141,c_17140,c_17139,c_17138,c_17137,c_17136,c_17135,c_17134,c_17133,c_17132,c_17131,c_17130,c_17129,c_17128,c_17127,c_17126,c_17125,c_17124,c_17123,c_17122,c_17121,c_17120,c_17119,c_17118,c_17117,c_17116,c_17115,c_17114,c_17113,c_17112,c_17111,c_17110,c_17109,c_17108,c_17107,c_17106,c_17105,c_17104,c_17103,c_17102,c_17101,c_17100,c_17099,c_17098,c_17097,c_17096,c_17095,c_17094,c_17093,c_17092,c_17091,c_17090,c_17089,c_17088,c_17087,c_17086,c_17085,c_17084,c_17083,c_17082,c_17081,c_17080,c_17079,c_17078,c_17077,c_17076,c_17075,c_17074,c_17073,c_17072,c_17071,c_17070,c_17069,c_17068,c_17067,c_17066,c_17065,c_17064,c_17063,c_17062,c_17061,c_17060,c_17059,c_17058,c_17057,c_17056,c_17055,c_17054,c_17053,c_17052,c_17051,c_17050,c_17049,c_17048,c_17047,c_17046,c_17045,c_17044,c_17043,c_17042,c_17041,c_17040,c_17039,c_17038,c_17037,c_252,c_251,c_250,c_249,c_248,c_247,c_172,c_171,c_170,c_168,c_167,c_166,c_164,c_163,c_162,c_160,c_159,c_158,c_156,c_155,c_154,c_152,c_151,c_150,c_148,c_147,c_146,c_144,c_143,c_142,c_140,c_139,c_138,c_136,c_135,c_134,c_132,c_131,c_130,c_128,c_127,c_126,c_124,c_123,c_122,c_120,c_119,c_118,c_116,c_115,c_114,c_112,c_111,c_110,c_108,c_107,c_106,c_104,c_103,c_102,c_100,c_99,c_98,c_96,c_95,c_94,c_92,c_91,c_90,c_88,c_87,c_86,c_84,c_83,c_82,c_80,c_79,c_78,c_76,c_75,c_74,c_72,c_71,c_70,c_68,c_67,c_66,c_64,c_63,c_62,c_60,c_59,c_58,c_56,c_55,c_54,c_52,c_51,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN509+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n016.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 01:42:28 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.41  
% 0.11/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41  
% 0.11/0.41  % Detected problem language: tptp
% 0.11/0.42  % Proving...
% 4.55/1.28  % SZS status Started for theBenchmark.p
% 4.55/1.28  % SZS status Theorem for theBenchmark.p
% 4.55/1.28  
% 4.55/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.55/1.28  
% 4.55/1.28  % ------  iProver source info
% 4.55/1.28  
% 4.55/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.55/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.55/1.28  % git: non_committed_changes: false
% 4.55/1.28  
% 4.55/1.28  % ------ Parsing...
% 4.55/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.55/1.28  % 
% 4.55/1.28  
% 4.55/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.55/1.28  
% 4.55/1.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.55/1.28   gs_s  sp: 133 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.55/1.28  % ------ Proving...
% 4.55/1.28  % ------ Problem Properties 
% 4.55/1.28  
% 4.55/1.28  % 
% 4.55/1.28  % clauses                               206
% 4.55/1.28  % conjectures                           203
% 4.55/1.28  % EPR                                   206
% 4.55/1.28  % Horn                                  110
% 4.55/1.28  % unary                                 0
% 4.55/1.28  % binary                                94
% 4.55/1.28  % lits                                  556
% 4.55/1.28  % lits eq                               0
% 4.55/1.28  % fd_pure                               0
% 4.55/1.28  % fd_pseudo                             0
% 4.55/1.28  % fd_cond                               0
% 4.55/1.28  % fd_pseudo_cond                        0
% 4.55/1.28  % AC symbols                            0
% 4.55/1.28  
% 4.55/1.28  % ------ Schedule EPR non Horn non eq is on
% 4.55/1.28  
% 4.55/1.28  % ------ no equalities: superposition off 
% 4.55/1.28  
% 4.55/1.28  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.55/1.28  
% 4.55/1.28  
% 4.55/1.28  % ------ 
% 4.55/1.28  % Current options:
% 4.55/1.28  % ------ 
% 4.55/1.28  
% 4.55/1.28  
% 4.55/1.28  % 
% 4.55/1.28  
% 4.55/1.28  % ------ Proving...
% 4.55/1.28  % 
% 4.55/1.28  
% 4.55/1.28  % SZS status Theorem for theBenchmark.p
% 4.55/1.28  
% 4.55/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.55/1.29  
% 4.55/1.29  
%------------------------------------------------------------------------------