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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN511+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 : n005.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 03:40:38 PM UTC 2026

% Result   : Theorem 4.18s 1.16s
% Output   : CNFRefutation 4.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f223ERROR: Could not build tree for root c_18403ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp25
        | hskp7 )
      & ( hskp0
        | hskp8
        | hskp22 )
      & ( hskp16
        | hskp0
        | hskp29 )
      & ( hskp4
        | hskp18
        | hskp24 )
      & ( hskp2
        | hskp21
        | hskp11 )
      & ( hskp12
        | hskp26
        | hskp30 )
      & ( hskp25
        | hskp12
        | hskp13 )
      & ( hskp9
        | hskp19
        | hskp28 )
      & ( hskp11
        | hskp30
        | hskp28 )
      & ( hskp18
        | hskp24
        | hskp27 )
      & ( hskp16
        | hskp23
        | ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c2_1(X126)
              | ~ c1_1(X126) ) ) )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp5
        | hskp9
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp21
        | hskp1
        | ! [X122] :
            ( ndr1_0
           => ( ~ c2_1(X122)
              | ~ c1_1(X122)
              | c3_1(X122) ) ) )
      & ( hskp21
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c0_1(X121) ) )
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp24
        | hskp14
        | ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp17
        | hskp14
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | c2_1(X118) ) ) )
      & ( hskp10
        | hskp28
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | c2_1(X117) ) ) )
      & ( hskp4
        | hskp15
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp5
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp19
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c0_1(X113)
              | c1_1(X113) ) ) )
      & ( hskp23
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | c1_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c0_1(X111)
              | c1_1(X111) ) ) )
      & ( hskp1
        | hskp27
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | c1_1(X110) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | c3_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp13
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | c1_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp15
        | hskp29
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp19
        | hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c1_1(X103) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c1_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp0
        | hskp20
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | c2_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp16
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | c2_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp10
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp2
        | hskp9
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp22
        | hskp21
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp15
        | hskp1
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp13
        | hskp20
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp19
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c2_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp6
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | hskp11
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp4
        | hskp6
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp16
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp3
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp15
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp10
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp27
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp1
        | hskp14
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp10
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | c3_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp4
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp12
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | ~ c0_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp8
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp0
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c2_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp9
        | hskp13
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp7
        | hskp28
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp12
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp11
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c0_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | hskp10
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp9
        | hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp28
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c3_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp5
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp7
        | hskp6
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp5
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | ~ c0_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a753)
          & c2_1(a753)
          & c0_1(a753)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a725)
          & c2_1(a725)
          & c1_1(a725)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a678)
          & c1_1(a678)
          & c0_1(a678)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a676)
          & c1_1(a676)
          & c0_1(a676)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a762)
          & ~ c0_1(a762)
          & c1_1(a762)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a760)
          & ~ c1_1(a760)
          & ~ c0_1(a760)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a731)
          & ~ c1_1(a731)
          & c0_1(a731)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a730)
          & c2_1(a730)
          & c0_1(a730)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a716)
          & c2_1(a716)
          & c1_1(a716)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a715)
          & ~ c2_1(a715)
          & c0_1(a715)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a711)
          & c1_1(a711)
          & c0_1(a711)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a710)
          & c2_1(a710)
          & c1_1(a710)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a708)
          & ~ c1_1(a708)
          & c3_1(a708)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a703)
          & ~ c0_1(a703)
          & c1_1(a703)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a702)
          & c3_1(a702)
          & c2_1(a702)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a700)
          & ~ c0_1(a700)
          & c2_1(a700)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a696)
          & c2_1(a696)
          & c0_1(a696)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a688)
          & c1_1(a688)
          & c0_1(a688)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a684)
          & ~ c0_1(a684)
          & c3_1(a684)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a683)
          & c3_1(a683)
          & c0_1(a683)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a681)
          & c3_1(a681)
          & c2_1(a681)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a680)
          & ~ c1_1(a680)
          & c2_1(a680)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a679)
          & c3_1(a679)
          & c1_1(a679)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a675)
          & c3_1(a675)
          & c1_1(a675)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a674)
          & c3_1(a674)
          & c0_1(a674)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a673)
          & ~ c2_1(a673)
          & ~ c0_1(a673)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a672)
          & ~ c1_1(a672)
          & ~ c0_1(a672)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a671)
          & ~ c0_1(a671)
          & c2_1(a671)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a670)
          & ~ c0_1(a670)
          & c3_1(a670)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a669)
          & ~ c1_1(a669)
          & c0_1(a669)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a668)
          & ~ c2_1(a668)
          & c1_1(a668)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp25
          | hskp7 )
        & ( hskp0
          | hskp8
          | hskp22 )
        & ( hskp16
          | hskp0
          | hskp29 )
        & ( hskp4
          | hskp18
          | hskp24 )
        & ( hskp2
          | hskp21
          | hskp11 )
        & ( hskp12
          | hskp26
          | hskp30 )
        & ( hskp25
          | hskp12
          | hskp13 )
        & ( hskp9
          | hskp19
          | hskp28 )
        & ( hskp11
          | hskp30
          | hskp28 )
        & ( hskp18
          | hskp24
          | hskp27 )
        & ( hskp16
          | hskp23
          | ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) ) )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp5
          | hskp9
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp21
          | hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c2_1(X122)
                | ~ c1_1(X122)
                | c3_1(X122) ) ) )
        & ( hskp21
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c0_1(X121) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp24
          | hskp14
          | ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp17
          | hskp14
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( hskp10
          | hskp28
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c2_1(X117) ) ) )
        & ( hskp4
          | hskp15
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp5
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp19
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c0_1(X113)
                | c1_1(X113) ) ) )
        & ( hskp23
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | c1_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) ) )
        & ( hskp1
          | hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c1_1(X110) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp13
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | c1_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp15
          | hskp29
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp19
          | hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp0
          | hskp20
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp16
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp10
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp2
          | hskp9
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp22
          | hskp21
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp15
          | hskp1
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp13
          | hskp20
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c2_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp6
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | hskp11
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp4
          | hskp6
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp16
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp3
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp15
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp10
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp1
          | hskp14
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp10
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp12
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp8
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp9
          | hskp13
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp7
          | hskp28
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp11
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp9
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c3_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp7
          | hskp6
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp5
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c0_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a753)
            & c2_1(a753)
            & c0_1(a753)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a725)
            & c2_1(a725)
            & c1_1(a725)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a678)
            & c1_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a762)
            & ~ c0_1(a762)
            & c1_1(a762)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a760)
            & ~ c1_1(a760)
            & ~ c0_1(a760)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a731)
            & ~ c1_1(a731)
            & c0_1(a731)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a730)
            & c2_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c1_1(a716)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a715)
            & ~ c2_1(a715)
            & c0_1(a715)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a711)
            & c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a710)
            & c2_1(a710)
            & c1_1(a710)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a708)
            & ~ c1_1(a708)
            & c3_1(a708)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a703)
            & ~ c0_1(a703)
            & c1_1(a703)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a702)
            & c3_1(a702)
            & c2_1(a702)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a700)
            & ~ c0_1(a700)
            & c2_1(a700)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a696)
            & c2_1(a696)
            & c0_1(a696)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a688)
            & c1_1(a688)
            & c0_1(a688)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a684)
            & ~ c0_1(a684)
            & c3_1(a684)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a683)
            & c3_1(a683)
            & c0_1(a683)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a681)
            & c3_1(a681)
            & c2_1(a681)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a680)
            & ~ c1_1(a680)
            & c2_1(a680)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a679)
            & c3_1(a679)
            & c1_1(a679)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a675)
            & c3_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a674)
            & c3_1(a674)
            & c0_1(a674)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a673)
            & ~ c2_1(a673)
            & ~ c0_1(a673)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a672)
            & ~ c1_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a671)
            & ~ c0_1(a671)
            & c2_1(a671)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a670)
            & ~ c0_1(a670)
            & c3_1(a670)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a669)
            & ~ c1_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a668)
            & ~ c2_1(a668)
            & c1_1(a668)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

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

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

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

fof(f6,plain,
    ( hskp5
    | hskp25
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp0
    | hskp8
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp16
    | hskp0
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp9
    | hskp19
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp11
    | hskp30
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X119] :
      ( hskp24
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X119)
      | ~ c0_1(X119)
      | c3_1(X119) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X118] :
      ( hskp17
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X118)
      | ~ c1_1(X118)
      | c2_1(X118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X117] :
      ( hskp10
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X117)
      | ~ c1_1(X117)
      | c2_1(X117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X116] :
      ( hskp4
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X116)
      | ~ c0_1(X116)
      | c2_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X113] :
      ( hskp19
      | hskp24
      | ~ ndr1_0
      | ~ c2_1(X113)
      | ~ c0_1(X113)
      | c1_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X104] :
      ( hskp15
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X104)
      | c3_1(X104)
      | c1_1(X104) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X91] :
      ( hskp2
      | hskp9
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c2_1(X91)
      | c1_1(X91) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X80] :
      ( hskp4
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c0_1(X80) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X59] :
      ( hskp1
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X31] :
      ( hskp9
      | hskp13
      | ~ ndr1_0
      | c3_1(X31)
      | c2_1(X31)
      | c0_1(X31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X30] :
      ( hskp7
      | hskp28
      | ~ ndr1_0
      | c3_1(X30)
      | c2_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X16] :
      ( hskp9
      | hskp8
      | ~ ndr1_0
      | ~ c2_1(X16)
      | c1_1(X16)
      | c0_1(X16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X6] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | c3_1(X6)
      | c1_1(X6)
      | c0_1(X6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ! [X2] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X2) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f90,plain,
    ( c3_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( c2_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c1_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ c0_1(a760)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c1_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c0_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a716)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c2_1(a716)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c1_1(a716)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c0_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c2_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c0_1(a703)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a703)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c2_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c2_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c2_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c0_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c1_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c2_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c0_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c3_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c1_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c2_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c0_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c3_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c1_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c3_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c2_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c0_1(a673)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c2_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c1_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ c0_1(a672)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c1_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c0_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c3_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c1_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c0_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c3_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ c2_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( c1_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a668)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a668) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a668) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a669)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a669) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a669) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_58,negated_conjecture,
    ( c3_1(a670)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a670) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a670) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_66,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a672) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a672) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_70,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a673) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a673) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a673) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_75,negated_conjecture,
    ( c3_1(a674)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a674) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_78,negated_conjecture,
    ( c1_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a675)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a675) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_83,negated_conjecture,
    ( c3_1(a679)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a680)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a680) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_90,negated_conjecture,
    ( c2_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a681)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a681) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_93,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_98,negated_conjecture,
    ( c3_1(a684)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a684) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a684) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,negated_conjecture,
    ( c1_1(a688)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a688) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_107,negated_conjecture,
    ( c2_1(a696)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a700)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a702)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c1_1(a703)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_127,negated_conjecture,
    ( c2_1(a710)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_138,negated_conjecture,
    ( c1_1(a716)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_139,negated_conjecture,
    ( c2_1(a716)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a716) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_146,negated_conjecture,
    ( c0_1(a731)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_150,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a760) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a760) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_160,negated_conjecture,
    ( c2_1(a676)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a678)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a725)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f90]) ).

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

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp9
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp10
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_241,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_244,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp11 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_245,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp9 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_250,negated_conjecture,
    ( hskp29
    | hskp16
    | hskp0 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_251,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_252,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_279,plain,
    ( hskp6
    | c0_1(a668)
    | c3_1(a668)
    | c2_1(a668)
    | ~ ndr1_0
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_188]) ).

tcf(c_287,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_244,c_169,c_161,c_93]) ).

tcf(c_349,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp9
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_244,c_169,c_161,c_93,c_190]) ).

tcf(c_352,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_244,c_169,c_161,c_93,c_189]) ).

tcf(c_355,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_244,c_169,c_161,c_93,c_177]) ).

tcf(c_361,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_244,c_169,c_161,c_93,c_174]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_244,c_169,c_161,c_93,c_227]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_244,c_169,c_161,c_93,c_220]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_244,c_169,c_161,c_93,c_202]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_244,c_169,c_161,c_93,c_182]) ).

tcf(c_400,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp14
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_244,c_169,c_161,c_93,c_237]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp14
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_403,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_244,c_169,c_161,c_93,c_236]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_406,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp10
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_244,c_169,c_161,c_93,c_235]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp10
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_409,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_244,c_169,c_161,c_93,c_234]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_409]) ).

tcf(c_412,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_244,c_169,c_161,c_93,c_232]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_412]) ).

tcf(c_418,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp4
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_244,c_169,c_161,c_93,c_212]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_418]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_244,c_169,c_161,c_93,c_188]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_244,c_169,c_161,c_93,c_176]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_244,c_169,c_161,c_93,c_173]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_450,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_244,c_169,c_161,c_93,c_205]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_450]) ).

tcf(c_452,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_244,c_169,c_161,c_93,c_204]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_452]) ).

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_244,c_169,c_161,c_93,c_198]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_244,c_169,c_161,c_93,c_196]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_244,c_169,c_161,c_93,c_195]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_244,c_169,c_161,c_93,c_222]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_244,c_169,c_161,c_93,c_216]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_477,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_244,c_169,c_161,c_93,c_211]) ).

tcf(c_478,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_477]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_244,c_169,c_161,c_93,c_210]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_244,c_169,c_161,c_93,c_181]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_244,c_169,c_161,c_93,c_241]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_244,c_169,c_161,c_93,c_180]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_244,c_169,c_161,c_93,c_229]) ).

tcf(c_500,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_499]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_244,c_169,c_161,c_93,c_224]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_244,c_169,c_161,c_93,c_206]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_244,c_169,c_161,c_93,c_197]) ).

tcf(c_506,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_505]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_244,c_169,c_161,c_93,c_192]) ).

tcf(c_508,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_507]) ).

tcf(c_509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_244,c_169,c_161,c_93,c_184]) ).

tcf(c_510,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_509]) ).

tcf(c_511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_244,c_169,c_161,c_93,c_225]) ).

tcf(c_512,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_511]) ).

tcf(c_513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_244,c_169,c_161,c_93,c_200]) ).

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

tcf(c_515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_193,c_287]) ).

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

tcf(c_517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_244,c_169,c_161,c_93,c_191]) ).

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

tcf(c_519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_244,c_169,c_161,c_93,c_186]) ).

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

tcf(c_521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_244,c_169,c_161,c_93,c_203]) ).

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

tcf(c_1261,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_516,c_490]) ).

tcf(c_1267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_522,c_490]) ).

tcf(c_1915,plain,
    ( hskp7
    | hskp5
    | ~ c3_1(a760) ),
    inference(resolution,[status(thm)],[c_252,c_152]) ).

tcf(c_1925,plain,
    ( hskp7
    | hskp5
    | ~ c1_1(a760) ),
    inference(resolution,[status(thm)],[c_252,c_151]) ).

tcf(c_1935,plain,
    ( hskp7
    | hskp5
    | ~ c0_1(a760) ),
    inference(resolution,[status(thm)],[c_252,c_150]) ).

tcf(c_2044,plain,
    ( hskp8
    | hskp0
    | ~ c3_1(a716) ),
    inference(resolution,[status(thm)],[c_251,c_140]) ).

tcf(c_2054,plain,
    ( hskp8
    | hskp0
    | c2_1(a716) ),
    inference(resolution,[status(thm)],[c_251,c_139]) ).

tcf(c_2064,plain,
    ( hskp8
    | hskp0
    | c1_1(a716) ),
    inference(resolution,[status(thm)],[c_251,c_138]) ).

tcf(c_5188,plain,
    ( hskp28
    | hskp9
    | ~ c0_1(a710) ),
    inference(resolution,[status(thm)],[c_245,c_128]) ).

tcf(c_5198,plain,
    ( hskp28
    | hskp9
    | c2_1(a710) ),
    inference(resolution,[status(thm)],[c_245,c_127]) ).

tcf(c_5208,plain,
    ( hskp28
    | hskp9
    | c1_1(a710) ),
    inference(resolution,[status(thm)],[c_245,c_126]) ).

tcf(c_6953,plain,
    ( hskp29
    | hskp16
    | ~ c3_1(a668) ),
    inference(resolution,[status(thm)],[c_250,c_52]) ).

tcf(c_6963,plain,
    ( hskp29
    | hskp16
    | ~ c2_1(a668) ),
    inference(resolution,[status(thm)],[c_250,c_51]) ).

tcf(c_6973,plain,
    ( hskp29
    | hskp16
    | c1_1(a668) ),
    inference(resolution,[status(thm)],[c_250,c_50]) ).

tcf(c_17562,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1267]) ).

tcf(c_17563,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1267]) ).

tcf(c_17564,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1267]) ).

tcf(c_17565,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1267]) ).

tcf(c_17566,plain,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1261]) ).

tcf(c_17567,plain,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_1261]) ).

tcf(c_17569,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_520]) ).

tcf(c_17570,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_520]) ).

tcf(c_17571,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_520]) ).

tcf(c_17572,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_518]) ).

tcf(c_17573,negated_conjecture,
    ( iPr_def_17
    | iPr_def_14
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_17574,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_514]) ).

tcf(c_17575,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_514]) ).

tcf(c_17576,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).

tcf(c_17577,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_512]) ).

tcf(c_17578,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_512]) ).

tcf(c_17580,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_510]) ).

tcf(c_17581,negated_conjecture,
    ( iPr_def_22
    | iPr_def_17
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

tcf(c_17582,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_508]) ).

tcf(c_17585,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_506]) ).

tcf(c_17586,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_506]) ).

tcf(c_17587,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

tcf(c_17588,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_504]) ).

tcf(c_17589,negated_conjecture,
    ( iPr_def_27
    | iPr_def_16
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_17590,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_502]) ).

tcf(c_17591,negated_conjecture,
    ( iPr_def_28
    | iPr_def_20
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_17592,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_500]) ).

tcf(c_17593,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

tcf(c_17594,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_498]) ).

tcf(c_17595,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_17600,negated_conjecture,
    ( iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_17601,negated_conjecture,
    ( iPr_def_30
    | iPr_def_13
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_17605,negated_conjecture,
    ( iPr_def_21
    | iPr_def_17
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_17606,negated_conjecture,
    ( iPr_def_29
    | iPr_def_17
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_17607,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_476]) ).

tcf(c_17608,negated_conjecture,
    ( iPr_def_33
    | iPr_def_10
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_17609,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_474]) ).

tcf(c_17610,negated_conjecture,
    ( iPr_def_34
    | iPr_def_18
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_17618,negated_conjecture,
    ( iPr_def_26
    | iPr_def_17
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_17619,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_460]) ).

tcf(c_17620,negated_conjecture,
    ( iPr_def_38
    | iPr_def_26
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_17621,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_17624,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

tcf(c_17625,negated_conjecture,
    ( iPr_def_38
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

tcf(c_17631,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_440]) ).

tcf(c_17632,negated_conjecture,
    ( iPr_def_41
    | iPr_def_16
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_17636,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_430]) ).

tcf(c_17637,negated_conjecture,
    ( iPr_def_42
    | iPr_def_28
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

tcf(c_17638,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_43
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_427]) ).

tcf(c_17639,negated_conjecture,
    ( iPr_def_43
    | iPr_def_14
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_17643,negated_conjecture,
    ( iPr_def_17
    | hskp6
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

tcf(c_17645,negated_conjecture,
    ( iPr_def_23
    | hskp24
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

tcf(c_17646,negated_conjecture,
    ( iPr_def_22
    | hskp15
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_17647,negated_conjecture,
    ( iPr_def_25
    | hskp28
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

tcf(c_17648,negated_conjecture,
    ( iPr_def_25
    | hskp17
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_17649,negated_conjecture,
    ( iPr_def_21
    | hskp24
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_17651,negated_conjecture,
    ( iPr_def_30
    | hskp9
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

tcf(c_17653,negated_conjecture,
    ( iPr_def_19
    | hskp14
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).

tcf(c_17657,negated_conjecture,
    ( iPr_def_33
    | hskp9
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_376]) ).

tcf(c_17660,negated_conjecture,
    ( iPr_def_20
    | hskp29
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

tcf(c_17662,negated_conjecture,
    ( iPr_def_41
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

tcf(c_17664,negated_conjecture,
    ( iPr_def_42
    | hskp7
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_355]) ).

tcf(c_17665,negated_conjecture,
    ( iPr_def_43
    | hskp28
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

tcf(c_17666,negated_conjecture,
    ( iPr_def_43
    | hskp13
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

tcf(c_17673,plain,
    ( c0_1(a668)
    | c3_1(a668)
    | c2_1(a668)
    | ~ iPr_def_43 ),
    inference(instantiation,[status(thm)],[c_17638]) ).

tcf(c_17674,plain,
    ( c0_1(a668)
    | c2_1(a668)
    | ~ iPr_def_14
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_17567]) ).

tcf(c_17678,plain,
    ( c0_1(a668)
    | c3_1(a668)
    | ~ iPr_def_26
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

tcf(c_17679,plain,
    ( c3_1(a668)
    | c2_1(a668)
    | ~ iPr_def_27
    | ~ c0_1(a668) ),
    inference(instantiation,[status(thm)],[c_17588]) ).

tcf(c_17687,plain,
    ( c2_1(a668)
    | ~ iPr_def_16
    | ~ c0_1(a668)
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

tcf(c_17689,plain,
    ( c3_1(a668)
    | ~ iPr_def_21
    | ~ c0_1(a668)
    | ~ c1_1(a668) ),
    inference(instantiation,[status(thm)],[c_17578]) ).

tcf(c_17702,plain,
    ( c0_1(a670)
    | c1_1(a670)
    | ~ iPr_def_15
    | ~ c3_1(a670) ),
    inference(instantiation,[status(thm)],[c_17569]) ).

tcf(c_17706,plain,
    ( c0_1(a681)
    | c1_1(a681)
    | ~ iPr_def_15
    | ~ c3_1(a681) ),
    inference(instantiation,[status(thm)],[c_17569]) ).

tcf(c_17707,plain,
    ( c0_1(a702)
    | c1_1(a702)
    | ~ iPr_def_15
    | ~ c3_1(a702) ),
    inference(instantiation,[status(thm)],[c_17569]) ).

tcf(c_17717,plain,
    ( c2_1(a678)
    | ~ iPr_def_16
    | ~ c0_1(a678)
    | ~ c1_1(a678) ),
    inference(instantiation,[status(thm)],[c_17570]) ).

tcf(c_17721,plain,
    ( c0_1(a679)
    | ~ iPr_def_17
    | ~ c3_1(a679)
    | ~ c1_1(a679) ),
    inference(instantiation,[status(thm)],[c_17572]) ).

tcf(c_17725,plain,
    ( c0_1(a725)
    | ~ iPr_def_17
    | ~ c3_1(a725)
    | ~ c1_1(a725) ),
    inference(instantiation,[status(thm)],[c_17572]) ).

tcf(c_17735,plain,
    ( c2_1(a674)
    | ~ iPr_def_22
    | ~ c0_1(a674)
    | ~ c3_1(a674) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

tcf(c_17736,plain,
    ( c2_1(a675)
    | ~ iPr_def_22
    | ~ c0_1(a675)
    | ~ c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

tcf(c_17740,plain,
    ( c2_1(a678)
    | ~ iPr_def_22
    | ~ c0_1(a678)
    | ~ c3_1(a678) ),
    inference(instantiation,[status(thm)],[c_17580]) ).

tcf(c_17746,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a681)
    | ~ c2_1(a681)
    | ~ c1_1(a681) ),
    inference(instantiation,[status(thm)],[c_17562]) ).

tcf(c_17748,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a678)
    | ~ c2_1(a678)
    | ~ c1_1(a678) ),
    inference(instantiation,[status(thm)],[c_17562]) ).

tcf(c_17749,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a725)
    | ~ c2_1(a725)
    | ~ c1_1(a725) ),
    inference(instantiation,[status(thm)],[c_17562]) ).

tcf(c_17750,plain,
    ( c0_1(a681)
    | ~ iPr_def_12
    | ~ c2_1(a681)
    | ~ c1_1(a681) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

tcf(c_17752,plain,
    ( c0_1(a700)
    | ~ iPr_def_12
    | ~ c2_1(a700)
    | ~ c1_1(a700) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

tcf(c_17754,plain,
    ( c0_1(a710)
    | ~ iPr_def_12
    | ~ c2_1(a710)
    | ~ c1_1(a710) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

tcf(c_17755,plain,
    ( c0_1(a716)
    | ~ iPr_def_12
    | ~ c2_1(a716)
    | ~ c1_1(a716) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

tcf(c_17758,plain,
    ( c0_1(a725)
    | ~ iPr_def_12
    | ~ c2_1(a725)
    | ~ c1_1(a725) ),
    inference(instantiation,[status(thm)],[c_17564]) ).

tcf(c_17759,plain,
    ( c0_1(a675)
    | c2_1(a675)
    | ~ iPr_def_14
    | ~ c1_1(a675) ),
    inference(instantiation,[status(thm)],[c_17567]) ).

tcf(c_17773,plain,
    ( c2_1(a669)
    | c1_1(a669)
    | ~ iPr_def_33
    | ~ c0_1(a669) ),
    inference(instantiation,[status(thm)],[c_17607]) ).

tcf(c_17794,plain,
    ( c0_1(a670)
    | c1_1(a670)
    | ~ iPr_def_30
    | ~ c2_1(a670) ),
    inference(instantiation,[status(thm)],[c_17594]) ).

tcf(c_17797,plain,
    ( c0_1(a702)
    | c1_1(a702)
    | ~ iPr_def_30
    | ~ c2_1(a702) ),
    inference(instantiation,[status(thm)],[c_17594]) ).

tcf(c_17799,plain,
    ( c2_1(a670)
    | c1_1(a670)
    | ~ iPr_def_34
    | ~ c3_1(a670) ),
    inference(instantiation,[status(thm)],[c_17609]) ).

tcf(c_17807,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a674)
    | ~ c3_1(a674)
    | ~ c2_1(a674) ),
    inference(instantiation,[status(thm)],[c_17566]) ).

tcf(c_17810,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a678)
    | ~ c3_1(a678)
    | ~ c2_1(a678) ),
    inference(instantiation,[status(thm)],[c_17566]) ).

tcf(c_17813,plain,
    ( c2_1(a675)
    | ~ iPr_def_25
    | ~ c3_1(a675)
    | ~ c1_1(a675) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

tcf(c_17815,plain,
    ( c2_1(a678)
    | ~ iPr_def_25
    | ~ c3_1(a678)
    | ~ c1_1(a678) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

tcf(c_17833,plain,
    ( c3_1(a688)
    | ~ iPr_def_21
    | ~ c0_1(a688)
    | ~ c1_1(a688) ),
    inference(instantiation,[status(thm)],[c_17578]) ).

tcf(c_17843,plain,
    ( c1_1(a702)
    | ~ iPr_def_23
    | ~ c0_1(a702)
    | ~ c2_1(a702) ),
    inference(instantiation,[status(thm)],[c_17582]) ).

tcf(c_17849,plain,
    ( c2_1(a684)
    | ~ iPr_def_25
    | ~ c3_1(a684)
    | ~ c1_1(a684) ),
    inference(instantiation,[status(thm)],[c_17585]) ).

tcf(c_17851,plain,
    ( c2_1(a684)
    | c1_1(a684)
    | ~ iPr_def_34
    | ~ c3_1(a684) ),
    inference(instantiation,[status(thm)],[c_17609]) ).

tcf(c_17855,plain,
    ( c0_1(a684)
    | ~ iPr_def_17
    | ~ c3_1(a684)
    | ~ c1_1(a684) ),
    inference(instantiation,[status(thm)],[c_17572]) ).

tcf(c_17856,plain,
    ( c0_1(a684)
    | c1_1(a684)
    | ~ iPr_def_15
    | ~ c3_1(a684) ),
    inference(instantiation,[status(thm)],[c_17569]) ).

tcf(c_17859,plain,
    ( c3_1(a700)
    | c1_1(a700)
    | ~ iPr_def_28
    | ~ c2_1(a700) ),
    inference(instantiation,[status(thm)],[c_17590]) ).

tcf(c_17867,plain,
    ( c1_1(a674)
    | ~ iPr_def_38
    | ~ c0_1(a674)
    | ~ c3_1(a674) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_17872,plain,
    ( c0_1(a672)
    | c2_1(a672)
    | c1_1(a672)
    | ~ iPr_def_41 ),
    inference(instantiation,[status(thm)],[c_17631]) ).

tcf(c_17875,plain,
    ( c0_1(a673)
    | c3_1(a673)
    | c2_1(a673)
    | ~ iPr_def_43 ),
    inference(instantiation,[status(thm)],[c_17638]) ).

tcf(c_17897,plain,
    ( c0_1(a700)
    | c3_1(a700)
    | ~ iPr_def_26
    | ~ c1_1(a700) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

tcf(c_17906,plain,
    ( c1_1(a702)
    | ~ iPr_def_38
    | ~ c0_1(a702)
    | ~ c3_1(a702) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_17921,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a710)
    | ~ c2_1(a710)
    | ~ c1_1(a710) ),
    inference(instantiation,[status(thm)],[c_17562]) ).

tcf(c_17924,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a676)
    | ~ c2_1(a676)
    | ~ c1_1(a676) ),
    inference(instantiation,[status(thm)],[c_17562]) ).

tcf(c_17934,plain,
    ( c3_1(a731)
    | c1_1(a731)
    | ~ iPr_def_20
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_17577]) ).

tcf(c_17941,plain,
    ( c2_1(a731)
    | c1_1(a731)
    | ~ iPr_def_33
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_17607]) ).

tcf(c_17990,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a702)
    | ~ c2_1(a702) ),
    inference(instantiation,[status(thm)],[c_17563]) ).

tcf(c_17991,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a710)
    | ~ c2_1(a710) ),
    inference(instantiation,[status(thm)],[c_17563]) ).

tcf(c_18007,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a678)
    | ~ c3_1(a678)
    | ~ c1_1(a678) ),
    inference(instantiation,[status(thm)],[c_17574]) ).

tcf(c_18045,plain,
    ( c0_1(a700)
    | c1_1(a700)
    | ~ iPr_def_30
    | ~ c2_1(a700) ),
    inference(instantiation,[status(thm)],[c_17594]) ).

tcf(c_18073,plain,
    ( ~ iPr_def_18
    | ~ c0_1(a725)
    | ~ c3_1(a725)
    | ~ c1_1(a725) ),
    inference(instantiation,[status(thm)],[c_17574]) ).

tcf(c_18093,plain,
    ( c3_1(a696)
    | ~ iPr_def_29
    | ~ c0_1(a696)
    | ~ c2_1(a696) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

tcf(c_18096,plain,
    ( c3_1(a716)
    | ~ iPr_def_29
    | ~ c0_1(a716)
    | ~ c2_1(a716) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

tcf(c_18097,plain,
    ( c3_1(a731)
    | ~ iPr_def_29
    | ~ c0_1(a731)
    | ~ c2_1(a731) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

tcf(c_18138,plain,
    ( c0_1(a710)
    | c3_1(a710)
    | ~ iPr_def_26
    | ~ c1_1(a710) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

tcf(c_18148,plain,
    ( c3_1(a676)
    | ~ iPr_def_29
    | ~ c0_1(a676)
    | ~ c2_1(a676) ),
    inference(instantiation,[status(thm)],[c_17592]) ).

tcf(c_18297,plain,
    ( c0_1(a703)
    | ~ iPr_def_17
    | ~ c3_1(a703)
    | ~ c1_1(a703) ),
    inference(instantiation,[status(thm)],[c_17572]) ).

tcf(c_18302,plain,
    ( c0_1(a703)
    | c3_1(a703)
    | ~ iPr_def_26
    | ~ c1_1(a703) ),
    inference(instantiation,[status(thm)],[c_17586]) ).

tcf(c_18331,plain,
    ( c3_1(a680)
    | c1_1(a680)
    | ~ iPr_def_28
    | ~ c2_1(a680) ),
    inference(instantiation,[status(thm)],[c_17590]) ).

tcf(c_18333,plain,
    ( c0_1(a680)
    | c3_1(a680)
    | ~ iPr_def_19
    | ~ c2_1(a680) ),
    inference(instantiation,[status(thm)],[c_17575]) ).

tcf(c_18335,plain,
    ( c3_1(a680)
    | c1_1(a680)
    | ~ iPr_def_20
    | ~ c0_1(a680) ),
    inference(instantiation,[status(thm)],[c_17577]) ).

tcf(c_18340,plain,
    ( c0_1(a680)
    | c1_1(a680)
    | ~ iPr_def_30
    | ~ c2_1(a680) ),
    inference(instantiation,[status(thm)],[c_17594]) ).

tcf(c_18345,plain,
    ( c0_1(a680)
    | c3_1(a680)
    | c1_1(a680)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_18347,plain,
    ( c0_1(a760)
    | c3_1(a760)
    | c1_1(a760)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_18369,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a725)
    | ~ c3_1(a725)
    | ~ c2_1(a725) ),
    inference(instantiation,[status(thm)],[c_17566]) ).

tcf(c_18403,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18369,c_18347,c_18345,c_18335,c_18340,c_18331,c_18333,c_18302,c_18297,c_18148,c_18138,c_18097,c_18096,c_18093,c_18073,c_18045,c_18007,c_17991,c_17990,c_17941,c_17934,c_17924,c_17921,c_17906,c_17897,c_17875,c_17872,c_17867,c_17859,c_17849,c_17851,c_17855,c_17856,c_17843,c_17833,c_17815,c_17813,c_17810,c_17807,c_17799,c_17797,c_17794,c_17773,c_17759,c_17758,c_17755,c_17754,c_17752,c_17750,c_17749,c_17748,c_17746,c_17740,c_17736,c_17735,c_17725,c_17721,c_17717,c_17707,c_17706,c_17702,c_17689,c_17687,c_17679,c_17678,c_17674,c_17673,c_17666,c_17665,c_17664,c_17662,c_17660,c_17657,c_17653,c_17651,c_17649,c_17648,c_17647,c_17646,c_17645,c_17643,c_17639,c_17637,c_17632,c_17624,c_17621,c_17620,c_17618,c_17610,c_17608,c_17606,c_17605,c_17601,c_17595,c_17593,c_17591,c_17589,c_17587,c_17581,c_17576,c_17573,c_17571,c_17565,c_17625,c_17600,c_6973,c_6963,c_6953,c_5208,c_5198,c_5188,c_2064,c_2054,c_2044,c_1935,c_1925,c_1915,c_287,c_279,c_51,c_52,c_55,c_56,c_59,c_60,c_66,c_67,c_68,c_70,c_71,c_72,c_76,c_80,c_84,c_87,c_88,c_92,c_99,c_100,c_104,c_108,c_111,c_112,c_116,c_119,c_128,c_147,c_148,c_50,c_54,c_58,c_74,c_75,c_78,c_79,c_82,c_83,c_86,c_90,c_91,c_98,c_102,c_103,c_106,c_107,c_110,c_114,c_115,c_118,c_126,c_127,c_146,c_158,c_159,c_160,c_162,c_163,c_164,c_166,c_167,c_168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN511+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34  % Computer : n005.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.35  % DateTime : Fri Sep 25 01:38:32 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38  Running first-order theorem proving
% 0.13/0.38  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
% 0.13/0.39  
% 0.13/0.39  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.41  % Proving...
% 4.18/1.16  % SZS status Started for theBenchmark.p
% 4.18/1.16  % SZS status Theorem for theBenchmark.p
% 4.18/1.16  
% 4.18/1.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.18/1.16  
% 4.18/1.16  % ------  iProver source info
% 4.18/1.16  
% 4.18/1.16  % git: date: 2026-07-19 20:42:38 +0200
% 4.18/1.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.18/1.16  % git: non_committed_changes: false
% 4.18/1.16  
% 4.18/1.16  % ------ Parsing...
% 4.18/1.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.18/1.16  % 
% 4.18/1.16  
% 4.18/1.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.18/1.16  
% 4.18/1.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.18/1.16   gs_s  sp: 127 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.18/1.16  % ------ Proving...
% 4.18/1.16  % ------ Problem Properties 
% 4.18/1.16  
% 4.18/1.16  % 
% 4.18/1.16  % clauses                               207
% 4.18/1.16  % conjectures                           197
% 4.18/1.16  % EPR                                   207
% 4.18/1.16  % Horn                                  109
% 4.18/1.16  % unary                                 0
% 4.18/1.16  % binary                                92
% 4.18/1.16  % lits                                  561
% 4.18/1.16  % lits eq                               0
% 4.18/1.16  % fd_pure                               0
% 4.18/1.16  % fd_pseudo                             0
% 4.18/1.16  % fd_cond                               0
% 4.18/1.16  % fd_pseudo_cond                        0
% 4.18/1.16  % AC symbols                            0
% 4.18/1.16  
% 4.18/1.16  % ------ Schedule EPR non Horn non eq is on
% 4.18/1.16  
% 4.18/1.16  % ------ no equalities: superposition off 
% 4.18/1.16  
% 4.18/1.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.18/1.16  
% 4.18/1.16  
% 4.18/1.16  % ------ 
% 4.18/1.16  % Current options:
% 4.18/1.16  % ------ 
% 4.18/1.16  
% 4.18/1.16  
% 4.18/1.16  % 
% 4.18/1.16  
% 4.18/1.16  % ------ Proving...
% 4.18/1.16  % 
% 4.18/1.16  
% 4.18/1.16  % SZS status Theorem for theBenchmark.p
% 4.18/1.16  
% 4.18/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.17  
% 4.18/1.17  
%------------------------------------------------------------------------------