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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN506+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.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 03:40:36 PM UTC 2026

% Result   : Theorem 4.37s 1.28s
% Output   : CNFRefutation 4.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f238ERROR: Could not build tree for root c_18419ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp24 )
      & ( hskp11
        | hskp18
        | hskp17 )
      & ( hskp8
        | hskp24
        | hskp17 )
      & ( hskp1
        | hskp11
        | hskp25 )
      & ( hskp16
        | hskp25 )
      & ( hskp14
        | hskp17
        | hskp12 )
      & ( hskp8
        | hskp13
        | hskp4 )
      & ( hskp4
        | hskp5
        | hskp3 )
      & ( hskp2
        | hskp24
        | hskp26 )
      & ( hskp10
        | hskp3
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp16
        | hskp5
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp24
        | hskp17
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp7
        | hskp28
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp1
        | hskp2
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp16
        | hskp4
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp3
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp12
        | hskp13
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp20
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp8
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp8
        | hskp3
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp27
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp10
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp17
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp27
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp6
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp19
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp5
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp22
        | hskp7
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp0
        | hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp16
        | hskp15
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp14
        | hskp5
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp11
        | hskp19
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp9
        | hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp14
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp12
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp26
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp28
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c0_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp7
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c0_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | hskp5
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp7
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp6
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp5
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp4
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a343)
          & c1_1(a343)
          & c0_1(a343)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a341)
          & c2_1(a341)
          & c1_1(a341)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a333)
          & c1_1(a333)
          & c0_1(a333)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a419)
          & ~ c1_1(a419)
          & c0_1(a419)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a401)
          & ~ c0_1(a401)
          & c1_1(a401)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a377)
          & c3_1(a377)
          & c1_1(a377)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a367)
          & ~ c1_1(a367)
          & c3_1(a367)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a359)
          & ~ c0_1(a359)
          & c3_1(a359)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a355)
          & c2_1(a355)
          & c1_1(a355)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a354)
          & ~ c2_1(a354)
          & c1_1(a354)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a349)
          & c3_1(a349)
          & c1_1(a349)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a348)
          & ~ c1_1(a348)
          & c0_1(a348)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a347)
          & c3_1(a347)
          & c2_1(a347)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a346)
          & c2_1(a346)
          & c0_1(a346)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a345)
          & c3_1(a345)
          & c0_1(a345)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a338)
          & ~ c1_1(a338)
          & ~ c0_1(a338)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a337)
          & ~ c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a334)
          & ~ c0_1(a334)
          & c2_1(a334)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a332)
          & ~ c2_1(a332)
          & ~ c0_1(a332)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a330)
          & ~ c0_1(a330)
          & c3_1(a330)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a329)
          & ~ c1_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a327)
          & c1_1(a327)
          & c0_1(a327)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a326)
          & c2_1(a326)
          & c0_1(a326)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a325)
          & c1_1(a325)
          & c0_1(a325)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a324)
          & ~ c1_1(a324)
          & ~ c0_1(a324)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a323)
          & ~ c2_1(a323)
          & ~ c1_1(a323)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a322)
          & c3_1(a322)
          & c2_1(a322)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp16
          | hskp5
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp24
          | hskp17
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp7
          | hskp28
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp1
          | hskp2
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp16
          | hskp4
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp3
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp12
          | hskp13
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp8
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp8
          | hskp3
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp27
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp10
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp27
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp19
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp5
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp22
          | hskp7
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp0
          | hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp14
          | hskp5
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp11
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp12
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp26
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp7
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp5
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp4
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X125] :
          ( ndr1_0
         => ( ~ c3_1(X125)
            | ~ c2_1(X125)
            | ~ c1_1(X125) ) ) )
    & ( hskp16
      | hskp5
      | ! [X124] :
          ( ndr1_0
         => ( ~ c3_1(X124)
            | ~ c2_1(X124)
            | ~ c0_1(X124) ) ) )
    & ( hskp10
      | ! [X123] :
          ( ndr1_0
         => ( ~ c3_1(X123)
            | ~ c2_1(X123)
            | ~ c1_1(X123) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c1_1(X122)
            | ~ c0_1(X122) ) ) )
    & ( hskp24
      | hskp17
      | ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | ~ c1_1(X121)
            | ~ c0_1(X121) ) ) )
    & ( hskp7
      | hskp28
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | ~ c1_1(X120)
            | c3_1(X120) ) ) )
    & ( hskp1
      | hskp2
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | ~ c0_1(X119)
            | c3_1(X119) ) ) )
    & ( hskp16
      | hskp4
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c0_1(X118)
            | c3_1(X118) ) ) )
    & ( hskp10
      | hskp3
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c0_1(X117)
            | c3_1(X117) ) ) )
    & ( hskp28
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c1_1(X116)
            | c2_1(X116) ) ) )
    & ( hskp12
      | hskp13
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | c2_1(X115) ) ) )
    & ( hskp20
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c1_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c0_1(X113)
            | c2_1(X113) ) ) )
    & ( hskp8
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c0_1(X112)
            | c3_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c0_1(X111)
            | c2_1(X111) ) ) )
    & ( hskp8
      | hskp3
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | c3_1(X110)
            | c2_1(X110) ) ) )
    & ( hskp27
      | hskp28
      | ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | c3_1(X109)
            | c2_1(X109) ) ) )
    & ( hskp10
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c1_1(X108)
            | ~ c0_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c2_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c3_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp15
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) ) )
    & ( hskp22
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c1_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c1_1(X101) ) ) )
    & ( hskp17
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c1_1(X99) ) ) )
    & ( hskp22
      | hskp23
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c1_1(X98) ) ) )
    & ( hskp14
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c1_1(X97)
            | c2_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) ) )
    & ( hskp27
      | hskp26
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c0_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp6
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c0_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp19
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp19
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp5
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c3_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp22
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c1_1(X85) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp2
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp22
      | hskp7
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp0
      | hskp19
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp14
      | hskp5
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp21
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp20
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp12
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp11
      | hskp19
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp4
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp12
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c2_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | hskp16
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp14
      | hskp13
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp12
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c0_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp26
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c0_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c2_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp28
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c2_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp7
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp27
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp4
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | c3_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | c3_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c2_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp5
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp11
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c3_1(X27)
            | c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp10
      | hskp5
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp7
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp9
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c2_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c2_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp8
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp5
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp7
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp6
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp1
      | hskp5
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp4
      | hskp3
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | c3_1(X5)
            | c1_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | c2_1(X3)
            | c0_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c2_1(X125)
          | ~ c1_1(X125) ) )
    & ( hskp16
      | hskp5
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c2_1(X124)
          | ~ c0_1(X124) ) )
    & ( hskp10
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c2_1(X123)
          | ~ c1_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c1_1(X122)
          | ~ c0_1(X122) ) )
    & ( hskp24
      | hskp17
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) ) )
    & ( hskp7
      | hskp28
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c2_1(X120)
          | ~ c1_1(X120)
          | c3_1(X120) ) )
    & ( hskp1
      | hskp2
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c0_1(X119)
          | c3_1(X119) ) )
    & ( hskp16
      | hskp4
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp10
      | hskp3
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c0_1(X117)
          | c3_1(X117) ) )
    & ( hskp28
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c1_1(X116)
          | c2_1(X116) ) )
    & ( hskp12
      | hskp13
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c2_1(X115) ) )
    & ( hskp20
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c2_1(X113) ) )
    & ( hskp8
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111) ) )
    & ( hskp8
      | hskp3
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | c3_1(X110)
          | c2_1(X110) ) )
    & ( hskp27
      | hskp28
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c0_1(X109)
          | c3_1(X109)
          | c2_1(X109) ) )
    & ( hskp10
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp15
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103) ) )
    & ( hskp22
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp17
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp22
      | hskp23
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp14
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp27
      | hskp26
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95) ) )
    & ( hskp6
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp19
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp5
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp22
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp2
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp22
      | hskp7
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp0
      | hskp19
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp14
      | hskp5
      | ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp21
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp20
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp12
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp11
      | hskp19
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69) ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( hskp4
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp12
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp9
      | hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp15
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp14
      | hskp13
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( hskp12
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c0_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp26
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp28
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c0_1(X49)
          | c2_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp7
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp27
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c3_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c0_1(X30)
          | c3_1(X30)
          | c2_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp11
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | hskp5
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp7
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp9
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp26
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c0_1(X20)
          | c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp8
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp7
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp6
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | hskp5
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp4
      | hskp3
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | c3_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c2_1(X125)
          | ~ c1_1(X125) ) )
    & ( hskp16
      | hskp5
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c2_1(X124)
          | ~ c0_1(X124) ) )
    & ( hskp10
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c2_1(X123)
          | ~ c1_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c1_1(X122)
          | ~ c0_1(X122) ) )
    & ( hskp24
      | hskp17
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) ) )
    & ( hskp7
      | hskp28
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c2_1(X120)
          | ~ c1_1(X120)
          | c3_1(X120) ) )
    & ( hskp1
      | hskp2
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c0_1(X119)
          | c3_1(X119) ) )
    & ( hskp16
      | hskp4
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp10
      | hskp3
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c0_1(X117)
          | c3_1(X117) ) )
    & ( hskp28
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c1_1(X116)
          | c2_1(X116) ) )
    & ( hskp12
      | hskp13
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c2_1(X115) ) )
    & ( hskp20
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c2_1(X113) ) )
    & ( hskp8
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | c3_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111) ) )
    & ( hskp8
      | hskp3
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | c3_1(X110)
          | c2_1(X110) ) )
    & ( hskp27
      | hskp28
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c0_1(X109)
          | c3_1(X109)
          | c2_1(X109) ) )
    & ( hskp10
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp15
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103) ) )
    & ( hskp22
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp17
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp22
      | hskp23
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp14
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp27
      | hskp26
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95) ) )
    & ( hskp6
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp19
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp5
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp22
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | ~ c0_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp2
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp22
      | hskp7
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp0
      | hskp19
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp16
      | hskp15
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp14
      | hskp5
      | ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp21
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp20
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp12
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp11
      | hskp19
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69) ) )
    & ( hskp18
      | hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( hskp4
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp12
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp9
      | hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp15
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp14
      | hskp13
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( hskp12
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c0_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp26
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp28
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c0_1(X49)
          | c2_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp7
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp27
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c3_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c3_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c0_1(X30)
          | c3_1(X30)
          | c2_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp11
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | hskp5
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp7
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp9
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp26
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c0_1(X20)
          | c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp8
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp7
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp6
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | hskp5
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp4
      | hskp3
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | c3_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp8
    | hskp13
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X125] :
      ( hskp10
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X125)
      | ~ c2_1(X125)
      | ~ c1_1(X125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X116] :
      ( hskp28
      | ~ ndr1_0
      | ~ c3_1(X116)
      | ~ c1_1(X116)
      | c2_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X115] :
      ( hskp12
      | hskp13
      | ~ ndr1_0
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c2_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X110] :
      ( hskp8
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X110)
      | c3_1(X110)
      | c2_1(X110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X103] :
      ( hskp15
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c2_1(X103)
      | c1_1(X103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X95] :
      ( hskp27
      | hskp26
      | ~ ndr1_0
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | c1_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X79] :
      ( hskp22
      | hskp7
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c2_1(X79)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X69] :
      ( hskp11
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X69)
      | ~ c2_1(X69)
      | c0_1(X69) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X57] :
      ( hskp14
      | hskp13
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X6] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | c2_1(X6)
      | c1_1(X6)
      | c0_1(X6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c2_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c2_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c1_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c0_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c2_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ c0_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c0_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c2_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c1_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c0_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c3_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c2_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c2_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_51,negated_conjecture,
    ( c3_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a322) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_54,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( c1_1(a325)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a325) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_67,negated_conjecture,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_74,negated_conjecture,
    ( c2_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a329) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a329) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_78,negated_conjecture,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_82,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a332) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a332) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a332) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a334) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a334) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_94,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a338) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a346) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_107,negated_conjecture,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_113,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_118,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_119,negated_conjecture,
    ( c2_1(a353)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a353) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_127,negated_conjecture,
    ( c2_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a355) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a358) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_134,negated_conjecture,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_138,negated_conjecture,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_149,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_155,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_156,negated_conjecture,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_159,negated_conjecture,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_164,negated_conjecture,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_168,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

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

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp7
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp3
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_238,negated_conjecture,
    ( hskp13
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_240,negated_conjecture,
    ( hskp25
    | hskp16 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_244,negated_conjecture,
    ( hskp24
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_161,c_240,c_149,c_113]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_240,c_149,c_113,c_168]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( hskp28
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_240,c_149,c_113,c_227]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

tcf(c_353,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_240,c_149,c_113,c_223]) ).

tcf(c_359,plain,
    ! [X0: $i] :
      ( hskp15
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_240,c_149,c_113,c_219]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_359]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp7
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_240,c_149,c_113,c_206]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_240,c_149,c_113,c_192]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_240,c_149,c_113,c_226]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_240,c_149,c_113,c_214]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_392,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_240,c_149,c_113,c_199]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_392]) ).

tcf(c_401,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp3
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_240,c_149,c_113,c_235]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp3
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_240,c_149,c_113,c_200]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_240,c_149,c_113,c_166]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_240,c_149,c_113,c_165]) ).

tcf(c_422,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_240,c_149,c_113,c_202]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_240,c_149,c_113,c_201]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_424]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_240,c_149,c_113,c_179]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_240,c_149,c_113,c_176]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_240,c_149,c_113,c_175]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_240,c_149,c_113,c_210]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_240,c_149,c_113,c_191]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_240,c_149,c_113,c_190]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_240,c_149,c_113,c_188]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_240,c_149,c_113,c_184]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_240,c_149,c_113,c_181]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_240,c_149,c_113,c_224]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_240,c_149,c_113,c_217]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_212,c_277]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_240,c_149,c_113,c_197]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_240,c_149,c_113,c_196]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_240,c_149,c_113,c_177]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_240,c_149,c_113,c_174]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_240,c_149,c_113,c_225]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_484,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_240,c_149,c_113,c_218]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_240,c_149,c_113,c_213]) ).

tcf(c_487,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_486]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_240,c_149,c_113,c_233]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_240,c_149,c_113,c_189]) ).

tcf(c_492,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_491]) ).

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_240,c_149,c_113,c_187]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_240,c_149,c_113,c_180]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_240,c_149,c_113,c_195]) ).

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

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_240,c_149,c_113,c_173]) ).

tcf(c_500,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ 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)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_240,c_149,c_113,c_220]) ).

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

tcf(c_503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_240,c_149,c_113,c_208]) ).

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

tcf(c_505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_240,c_149,c_113,c_183]) ).

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

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_240,c_149,c_113,c_182]) ).

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

tcf(c_2566,plain,
    ( hskp8
    | hskp4
    | ~ c3_1(a346) ),
    inference(resolution,[status(thm)],[c_238,c_104]) ).

tcf(c_2576,plain,
    ( hskp8
    | hskp4
    | c2_1(a346) ),
    inference(resolution,[status(thm)],[c_238,c_103]) ).

tcf(c_2586,plain,
    ( hskp8
    | hskp4
    | c0_1(a346) ),
    inference(resolution,[status(thm)],[c_238,c_102]) ).

tcf(c_3220,plain,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ c3_1(a348)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_360,c_112]) ).

tcf(c_3221,plain,
    ( c1_1(a322)
    | ~ c3_1(a348)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_3220]) ).

tcf(c_3234,plain,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ c1_1(a348)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_360,c_111]) ).

tcf(c_3235,plain,
    ( c1_1(a322)
    | ~ c1_1(a348)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_3234]) ).

tcf(c_3248,plain,
    ! [X0: $i] :
      ( c0_1(a348)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_360,c_110]) ).

tcf(c_3249,plain,
    ( c1_1(a322)
    | c0_1(a348)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_3248]) ).

tcf(c_5458,plain,
    ! [X0: $i] :
      ( hskp10
      | ~ c2_1(a325)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_402,c_64]) ).

tcf(c_5459,plain,
    ( hskp10
    | ~ c1_1(a322)
    | ~ c3_1(a322)
    | ~ c2_1(a325)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5458]) ).

tcf(c_5475,plain,
    ! [X0: $i] :
      ( hskp10
      | c1_1(a325)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_402,c_63]) ).

tcf(c_5476,plain,
    ( hskp10
    | c1_1(a325)
    | ~ c1_1(a322)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5475]) ).

tcf(c_5492,plain,
    ! [X0: $i] :
      ( hskp10
      | c0_1(a325)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_402,c_62]) ).

tcf(c_5493,plain,
    ( hskp10
    | c0_1(a325)
    | ~ c1_1(a322)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5492]) ).

tcf(c_5893,plain,
    ! [X0: $i] :
      ( hskp11
      | c0_1(X0)
      | ~ c3_1(a355)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_393,c_128]) ).

tcf(c_5894,plain,
    ( hskp11
    | c0_1(a322)
    | ~ c3_1(a355)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5893]) ).

tcf(c_5910,plain,
    ! [X0: $i] :
      ( hskp11
      | c2_1(a355)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_393,c_127]) ).

tcf(c_5911,plain,
    ( hskp11
    | c0_1(a322)
    | c2_1(a355)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5910]) ).

tcf(c_5927,plain,
    ! [X0: $i] :
      ( hskp11
      | c1_1(a355)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_393,c_126]) ).

tcf(c_5928,plain,
    ( hskp11
    | c1_1(a355)
    | c0_1(a322)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_5927]) ).

tcf(c_6592,plain,
    ( hskp13
    | hskp4
    | ~ c3_1(a332) ),
    inference(resolution,[status(thm)],[c_238,c_84]) ).

tcf(c_6612,plain,
    ( hskp13
    | hskp4
    | ~ c0_1(a332) ),
    inference(resolution,[status(thm)],[c_238,c_82]) ).

tcf(c_8458,plain,
    ( hskp24
    | ~ c1_1(a330) ),
    inference(resolution,[status(thm)],[c_244,c_80]) ).

tcf(c_8465,plain,
    ( hskp24
    | ~ c0_1(a330) ),
    inference(resolution,[status(thm)],[c_244,c_79]) ).

tcf(c_8472,plain,
    ( hskp24
    | c3_1(a330) ),
    inference(resolution,[status(thm)],[c_244,c_78]) ).

tcf(c_17615,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_508]) ).

tcf(c_17616,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_508]) ).

tcf(c_17617,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_508]) ).

tcf(c_17618,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

tcf(c_17619,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_506]) ).

tcf(c_17620,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_506]) ).

tcf(c_17621,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

tcf(c_17622,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_504]) ).

tcf(c_17623,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_504]) ).

tcf(c_17624,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_17625,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_502]) ).

tcf(c_17626,negated_conjecture,
    ( iPr_def_17
    | iPr_def_12
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_17627,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_500]) ).

tcf(c_17628,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_500]) ).

tcf(c_17629,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_500]) ).

tcf(c_17630,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

tcf(c_17631,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_498]) ).

tcf(c_17632,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_498]) ).

tcf(c_17633,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_17634,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_496]) ).

tcf(c_17635,negated_conjecture,
    ( iPr_def_23
    | iPr_def_17
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_17636,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_494]) ).

tcf(c_17639,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_492]) ).

tcf(c_17641,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_489]) ).

tcf(c_17642,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_489]) ).

tcf(c_17643,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_17644,negated_conjecture,
    ( iPr_def_27
    | iPr_def_23
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

tcf(c_17645,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

tcf(c_17646,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_483]) ).

tcf(c_17647,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_17648,negated_conjecture,
    ( iPr_def_28
    | iPr_def_20
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_17649,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_479]) ).

tcf(c_17651,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_17652,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_475]) ).

tcf(c_17653,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_475]) ).

tcf(c_17654,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_17655,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_473]) ).

tcf(c_17658,negated_conjecture,
    ( iPr_def_29
    | iPr_def_18
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_17660,negated_conjecture,
    ( iPr_def_33
    | iPr_def_29
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_17666,negated_conjecture,
    ( iPr_def_18
    | iPr_def_11
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_17667,negated_conjecture,
    ( iPr_def_14
    | iPr_def_11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_17668,negated_conjecture,
    ( iPr_def_24
    | iPr_def_10
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_17669,negated_conjecture,
    ( iPr_def_26
    | iPr_def_10
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_17670,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_448]) ).

tcf(c_17674,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_440]) ).

tcf(c_17675,negated_conjecture,
    ( iPr_def_37
    | iPr_def_23
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_17677,negated_conjecture,
    ( iPr_def_30
    | iPr_def_21
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_17678,negated_conjecture,
    ( iPr_def_30
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_17679,negated_conjecture,
    ( iPr_def_26
    | iPr_def_11
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_17682,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_425]) ).

tcf(c_17684,negated_conjecture,
    ( iPr_def_38
    | iPr_def_33
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_17687,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_417]) ).

tcf(c_17688,negated_conjecture,
    ( iPr_def_40
    | iPr_def_11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_17689,negated_conjecture,
    ( iPr_def_40
    | iPr_def_24
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_17691,negated_conjecture,
    ( iPr_def_38
    | iPr_def_16
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_17694,negated_conjecture,
    ( iPr_def_28
    | hskp10
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_17698,negated_conjecture,
    ( iPr_def_23
    | hskp27
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_17700,negated_conjecture,
    ( iPr_def_29
    | hskp13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_17705,negated_conjecture,
    ( iPr_def_36
    | hskp14
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_17707,negated_conjecture,
    ( iPr_def_21
    | hskp22
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_17709,negated_conjecture,
    ( iPr_def_17
    | hskp8
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_17710,negated_conjecture,
    ( iPr_def_40
    | hskp4
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_17728,plain,
    ( c1_1(a322)
    | c0_1(a322)
    | ~ iPr_def_30
    | ~ c3_1(a322) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17735,plain,
    ( c1_1(a322)
    | ~ iPr_def_18
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_17627]) ).

tcf(c_17747,plain,
    ( ~ iPr_def_28
    | ~ c1_1(a322)
    | ~ c3_1(a322)
    | ~ c2_1(a322) ),
    inference(instantiation,[status(thm)],[c_17642]) ).

tcf(c_17753,plain,
    ( hskp28
    | c2_1(a333)
    | ~ c1_1(a333)
    | ~ c3_1(a333) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_17756,plain,
    ( c2_1(a345)
    | ~ iPr_def_10
    | ~ c0_1(a345)
    | ~ c3_1(a345) ),
    inference(instantiation,[status(thm)],[c_17615]) ).

tcf(c_17760,plain,
    ( c2_1(a333)
    | ~ iPr_def_10
    | ~ c0_1(a333)
    | ~ c3_1(a333) ),
    inference(instantiation,[status(thm)],[c_17615]) ).

tcf(c_17766,plain,
    ( c0_1(a401)
    | c2_1(a401)
    | ~ iPr_def_11
    | ~ c1_1(a401) ),
    inference(instantiation,[status(thm)],[c_17616]) ).

tcf(c_17770,plain,
    ( c2_1(a345)
    | ~ iPr_def_15
    | ~ c1_1(a345)
    | ~ c3_1(a345) ),
    inference(instantiation,[status(thm)],[c_17622]) ).

tcf(c_17772,plain,
    ( c2_1(a359)
    | ~ iPr_def_15
    | ~ c1_1(a359)
    | ~ c3_1(a359) ),
    inference(instantiation,[status(thm)],[c_17622]) ).

tcf(c_17774,plain,
    ( c2_1(a333)
    | ~ iPr_def_15
    | ~ c1_1(a333)
    | ~ c3_1(a333) ),
    inference(instantiation,[status(thm)],[c_17622]) ).

tcf(c_17776,plain,
    ( c1_1(a330)
    | ~ iPr_def_18
    | ~ c3_1(a330)
    | ~ c2_1(a330) ),
    inference(instantiation,[status(thm)],[c_17627]) ).

tcf(c_17783,plain,
    ( c1_1(a326)
    | ~ iPr_def_23
    | ~ c0_1(a326)
    | ~ c2_1(a326) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

tcf(c_17786,plain,
    ( c1_1(a345)
    | ~ iPr_def_23
    | ~ c0_1(a345)
    | ~ c2_1(a345) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

tcf(c_17787,plain,
    ( c1_1(a346)
    | ~ iPr_def_23
    | ~ c0_1(a346)
    | ~ c2_1(a346) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

tcf(c_17788,plain,
    ( c1_1(a348)
    | ~ iPr_def_23
    | ~ c0_1(a348)
    | ~ c2_1(a348) ),
    inference(instantiation,[status(thm)],[c_17634]) ).

tcf(c_17791,plain,
    ( c1_1(a329)
    | c3_1(a329)
    | ~ iPr_def_37
    | ~ c2_1(a329) ),
    inference(instantiation,[status(thm)],[c_17674]) ).

tcf(c_17792,plain,
    ( c1_1(a334)
    | c3_1(a334)
    | ~ iPr_def_37
    | ~ c2_1(a334) ),
    inference(instantiation,[status(thm)],[c_17674]) ).

tcf(c_17801,plain,
    ( c1_1(a337)
    | c2_1(a337)
    | ~ iPr_def_21
    | ~ c0_1(a337) ),
    inference(instantiation,[status(thm)],[c_17631]) ).

tcf(c_17802,plain,
    ( c1_1(a345)
    | c2_1(a345)
    | ~ iPr_def_21
    | ~ c0_1(a345) ),
    inference(instantiation,[status(thm)],[c_17631]) ).

tcf(c_17804,plain,
    ( c1_1(a348)
    | c2_1(a348)
    | ~ iPr_def_21
    | ~ c0_1(a348) ),
    inference(instantiation,[status(thm)],[c_17631]) ).

tcf(c_17810,plain,
    ( c1_1(a367)
    | ~ iPr_def_19
    | ~ c0_1(a367)
    | ~ c3_1(a367) ),
    inference(instantiation,[status(thm)],[c_17628]) ).

tcf(c_17812,plain,
    ( c1_1(a323)
    | c3_1(a323)
    | c2_1(a323)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_17813,plain,
    ( c1_1(a332)
    | c3_1(a332)
    | c2_1(a332)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_17814,plain,
    ( c1_1(a337)
    | c3_1(a337)
    | c2_1(a337)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_17815,plain,
    ( c1_1(a338)
    | c3_1(a338)
    | c2_1(a338)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_17833,plain,
    ( c0_1(a332)
    | c2_1(a332)
    | ~ iPr_def_11
    | ~ c1_1(a332) ),
    inference(instantiation,[status(thm)],[c_17616]) ).

tcf(c_17838,plain,
    ( c0_1(a359)
    | c2_1(a359)
    | ~ iPr_def_11
    | ~ c1_1(a359) ),
    inference(instantiation,[status(thm)],[c_17616]) ).

tcf(c_17845,plain,
    ( c0_1(a359)
    | ~ iPr_def_22
    | ~ c1_1(a359)
    | ~ c3_1(a359) ),
    inference(instantiation,[status(thm)],[c_17632]) ).

tcf(c_17865,plain,
    ( c1_1(a332)
    | c0_1(a332)
    | c2_1(a332)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17687]) ).

tcf(c_17867,plain,
    ( c1_1(a338)
    | c0_1(a338)
    | c2_1(a338)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17687]) ).

tcf(c_17870,plain,
    ( c1_1(a367)
    | c0_1(a367)
    | c2_1(a367)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17687]) ).

tcf(c_17873,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | c2_1(a330)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17687]) ).

tcf(c_17875,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ iPr_def_30
    | ~ c3_1(a330) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17877,plain,
    ( c1_1(a359)
    | c0_1(a359)
    | ~ iPr_def_30
    | ~ c3_1(a359) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_17887,plain,
    ( c3_1(a327)
    | c2_1(a327)
    | ~ iPr_def_17
    | ~ c0_1(a327) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_17888,plain,
    ( c3_1(a337)
    | c2_1(a337)
    | ~ iPr_def_17
    | ~ c0_1(a337) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_17891,plain,
    ( c3_1(a348)
    | c2_1(a348)
    | ~ iPr_def_17
    | ~ c0_1(a348) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_17901,plain,
    ( ~ iPr_def_28
    | ~ c1_1(a341)
    | ~ c3_1(a341)
    | ~ c2_1(a341) ),
    inference(instantiation,[status(thm)],[c_17642]) ).

tcf(c_17904,plain,
    ( c2_1(a337)
    | ~ iPr_def_29
    | ~ c1_1(a337)
    | ~ c0_1(a337) ),
    inference(instantiation,[status(thm)],[c_17646]) ).

tcf(c_17909,plain,
    ( c2_1(a333)
    | ~ iPr_def_29
    | ~ c1_1(a333)
    | ~ c0_1(a333) ),
    inference(instantiation,[status(thm)],[c_17646]) ).

tcf(c_17975,plain,
    ( c2_1(a325)
    | ~ iPr_def_29
    | ~ c1_1(a325)
    | ~ c0_1(a325) ),
    inference(instantiation,[status(thm)],[c_17646]) ).

tcf(c_17976,plain,
    ( c3_1(a325)
    | c2_1(a325)
    | ~ iPr_def_17
    | ~ c0_1(a325) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_17991,plain,
    ( c0_1(a338)
    | c2_1(a338)
    | ~ iPr_def_24
    | ~ c3_1(a338) ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_17993,plain,
    ( c0_1(a359)
    | c2_1(a359)
    | ~ iPr_def_24
    | ~ c3_1(a359) ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_17994,plain,
    ( c0_1(a367)
    | c2_1(a367)
    | ~ iPr_def_24
    | ~ c3_1(a367) ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_17997,plain,
    ( c0_1(a330)
    | c2_1(a330)
    | ~ iPr_def_24
    | ~ c3_1(a330) ),
    inference(instantiation,[status(thm)],[c_17636]) ).

tcf(c_18000,plain,
    ( c1_1(a338)
    | c2_1(a338)
    | ~ iPr_def_16
    | ~ c3_1(a338) ),
    inference(instantiation,[status(thm)],[c_17623]) ).

tcf(c_18002,plain,
    ( c1_1(a359)
    | c2_1(a359)
    | ~ iPr_def_16
    | ~ c3_1(a359) ),
    inference(instantiation,[status(thm)],[c_17623]) ).

tcf(c_18003,plain,
    ( c1_1(a367)
    | c2_1(a367)
    | ~ iPr_def_16
    | ~ c3_1(a367) ),
    inference(instantiation,[status(thm)],[c_17623]) ).

tcf(c_18016,plain,
    ( c1_1(a330)
    | c0_1(a330)
    | ~ iPr_def_20
    | ~ c2_1(a330) ),
    inference(instantiation,[status(thm)],[c_17629]) ).

tcf(c_18018,plain,
    ( c1_1(a334)
    | c0_1(a334)
    | ~ iPr_def_20
    | ~ c2_1(a334) ),
    inference(instantiation,[status(thm)],[c_17629]) ).

tcf(c_18020,plain,
    ( c1_1(a358)
    | c0_1(a358)
    | ~ iPr_def_20
    | ~ c2_1(a358) ),
    inference(instantiation,[status(thm)],[c_17629]) ).

tcf(c_18030,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a325)
    | ~ c0_1(a325)
    | ~ c3_1(a325) ),
    inference(instantiation,[status(thm)],[c_17641]) ).

tcf(c_18034,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a333)
    | ~ c0_1(a333)
    | ~ c3_1(a333) ),
    inference(instantiation,[status(thm)],[c_17641]) ).

tcf(c_18036,plain,
    ( ~ iPr_def_27
    | ~ c1_1(a343)
    | ~ c0_1(a343)
    | ~ c3_1(a343) ),
    inference(instantiation,[status(thm)],[c_17641]) ).

tcf(c_18040,plain,
    ( c3_1(a327)
    | ~ iPr_def_33
    | ~ c1_1(a327)
    | ~ c0_1(a327) ),
    inference(instantiation,[status(thm)],[c_17655]) ).

tcf(c_18042,plain,
    ( c3_1(a346)
    | ~ iPr_def_33
    | ~ c1_1(a346)
    | ~ c0_1(a346) ),
    inference(instantiation,[status(thm)],[c_17655]) ).

tcf(c_18053,plain,
    ( c0_1(a358)
    | c3_1(a358)
    | ~ iPr_def_36
    | ~ c2_1(a358) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_18060,plain,
    ( c3_1(a346)
    | ~ iPr_def_31
    | ~ c0_1(a346)
    | ~ c2_1(a346) ),
    inference(instantiation,[status(thm)],[c_17652]) ).

tcf(c_18071,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a327)
    | ~ c0_1(a327)
    | ~ c2_1(a327) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_18073,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a355)
    | ~ c0_1(a355)
    | ~ c2_1(a355) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_18074,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a333)
    | ~ c0_1(a333)
    | ~ c2_1(a333) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_18076,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a343)
    | ~ c0_1(a343)
    | ~ c2_1(a343) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_18078,plain,
    ( ~ iPr_def_13
    | ~ c1_1(a346)
    | ~ c0_1(a346)
    | ~ c2_1(a346) ),
    inference(instantiation,[status(thm)],[c_17619]) ).

tcf(c_18084,plain,
    ( c3_1(a327)
    | ~ iPr_def_14
    | ~ c1_1(a327)
    | ~ c2_1(a327) ),
    inference(instantiation,[status(thm)],[c_17620]) ).

tcf(c_18086,plain,
    ( c3_1(a355)
    | ~ iPr_def_14
    | ~ c1_1(a355)
    | ~ c2_1(a355) ),
    inference(instantiation,[status(thm)],[c_17620]) ).

tcf(c_18089,plain,
    ( c3_1(a343)
    | ~ iPr_def_14
    | ~ c1_1(a343)
    | ~ c2_1(a343) ),
    inference(instantiation,[status(thm)],[c_17620]) ).

tcf(c_18091,plain,
    ( c3_1(a346)
    | ~ iPr_def_14
    | ~ c1_1(a346)
    | ~ c2_1(a346) ),
    inference(instantiation,[status(thm)],[c_17620]) ).

tcf(c_18109,plain,
    ( c0_1(a332)
    | c3_1(a332)
    | ~ iPr_def_26
    | ~ c1_1(a332) ),
    inference(instantiation,[status(thm)],[c_17639]) ).

tcf(c_18111,plain,
    ( c0_1(a353)
    | c3_1(a353)
    | ~ iPr_def_26
    | ~ c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_17639]) ).

tcf(c_18133,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a347)
    | ~ c3_1(a347)
    | ~ c2_1(a347) ),
    inference(instantiation,[status(thm)],[c_17617]) ).

tcf(c_18138,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a343)
    | ~ c3_1(a343)
    | ~ c2_1(a343) ),
    inference(instantiation,[status(thm)],[c_17617]) ).

tcf(c_18230,plain,
    ( c3_1(a358)
    | ~ iPr_def_14
    | ~ c1_1(a358)
    | ~ c2_1(a358) ),
    inference(instantiation,[status(thm)],[c_17620]) ).

tcf(c_18245,plain,
    ( ~ iPr_def_28
    | ~ c1_1(a353)
    | ~ c3_1(a353)
    | ~ c2_1(a353) ),
    inference(instantiation,[status(thm)],[c_17642]) ).

tcf(c_18249,plain,
    ( ~ iPr_def_28
    | ~ c1_1(a343)
    | ~ c3_1(a343)
    | ~ c2_1(a343) ),
    inference(instantiation,[status(thm)],[c_17642]) ).

tcf(c_18263,plain,
    ( c0_1(a330)
    | ~ iPr_def_32
    | ~ c3_1(a330)
    | ~ c2_1(a330) ),
    inference(instantiation,[status(thm)],[c_17653]) ).

tcf(c_18282,plain,
    ( ~ iPr_def_28
    | ~ c1_1(a333)
    | ~ c3_1(a333)
    | ~ c2_1(a333) ),
    inference(instantiation,[status(thm)],[c_17642]) ).

tcf(c_18283,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a333)
    | ~ c3_1(a333)
    | ~ c2_1(a333) ),
    inference(instantiation,[status(thm)],[c_17617]) ).

tcf(c_18306,plain,
    ( c3_1(a337)
    | ~ iPr_def_33
    | ~ c1_1(a337)
    | ~ c0_1(a337) ),
    inference(instantiation,[status(thm)],[c_17655]) ).

tcf(c_18320,plain,
    ( c1_1(a334)
    | ~ iPr_def_18
    | ~ c3_1(a334)
    | ~ c2_1(a334) ),
    inference(instantiation,[status(thm)],[c_17627]) ).

tcf(c_18321,plain,
    ( c1_1(a347)
    | ~ iPr_def_18
    | ~ c3_1(a347)
    | ~ c2_1(a347) ),
    inference(instantiation,[status(thm)],[c_17627]) ).

tcf(c_18346,plain,
    ( c0_1(a355)
    | c3_1(a355)
    | ~ iPr_def_26
    | ~ c1_1(a355) ),
    inference(instantiation,[status(thm)],[c_17639]) ).

tcf(c_18368,plain,
    ( c1_1(a347)
    | c0_1(a347)
    | ~ iPr_def_30
    | ~ c3_1(a347) ),
    inference(instantiation,[status(thm)],[c_17649]) ).

tcf(c_18401,plain,
    ( c3_1(a343)
    | ~ iPr_def_33
    | ~ c1_1(a343)
    | ~ c0_1(a343) ),
    inference(instantiation,[status(thm)],[c_17655]) ).

tcf(c_18405,plain,
    ( c3_1(a325)
    | ~ iPr_def_33
    | ~ c1_1(a325)
    | ~ c0_1(a325) ),
    inference(instantiation,[status(thm)],[c_17655]) ).

tcf(c_18419,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18405,c_18401,c_18368,c_18346,c_18321,c_18320,c_18306,c_18282,c_18283,c_18263,c_18249,c_18245,c_18230,c_18138,c_18133,c_18111,c_18109,c_18091,c_18089,c_18086,c_18084,c_18078,c_18076,c_18074,c_18073,c_18071,c_18060,c_18053,c_18042,c_18040,c_18036,c_18034,c_18030,c_18020,c_18018,c_18016,c_18003,c_18002,c_18000,c_17997,c_17994,c_17993,c_17991,c_17975,c_17976,c_17909,c_17904,c_17901,c_17891,c_17888,c_17887,c_17877,c_17875,c_17873,c_17870,c_17867,c_17865,c_17845,c_17838,c_17833,c_17815,c_17814,c_17813,c_17812,c_17810,c_17804,c_17802,c_17801,c_17792,c_17791,c_17788,c_17787,c_17786,c_17783,c_17776,c_17774,c_17772,c_17770,c_17766,c_17760,c_17756,c_17753,c_17747,c_17735,c_17728,c_17710,c_17709,c_17707,c_17705,c_17700,c_17698,c_17694,c_17691,c_17689,c_17688,c_17684,c_17679,c_17678,c_17677,c_17675,c_17669,c_17668,c_17667,c_17666,c_17660,c_17658,c_17654,c_17651,c_17648,c_17647,c_17645,c_17644,c_17643,c_17635,c_17633,c_17630,c_17626,c_17624,c_17621,c_17618,c_8472,c_8465,c_8458,c_6612,c_6592,c_5928,c_5911,c_5894,c_5493,c_5476,c_5459,c_3249,c_3235,c_3221,c_2586,c_2576,c_2566,c_52,c_54,c_55,c_56,c_64,c_68,c_72,c_75,c_76,c_79,c_80,c_82,c_83,c_84,c_87,c_88,c_91,c_92,c_94,c_95,c_96,c_100,c_104,c_108,c_120,c_131,c_132,c_135,c_136,c_139,c_140,c_147,c_148,c_50,c_51,c_62,c_63,c_66,c_67,c_70,c_71,c_74,c_78,c_86,c_90,c_98,c_99,c_102,c_103,c_106,c_107,c_118,c_119,c_130,c_134,c_138,c_146,c_154,c_155,c_156,c_158,c_159,c_160,c_162,c_163,c_164,c_238,c_244]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN506+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n004.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.03/0.37  % WCLimit  : 300
% 0.03/0.37  % DateTime : Fri Sep 25 01:35:51 UTC 2026
% 0.03/0.37  % CPUTime  : 
% 0.03/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.41  Running first-order theorem proving
% 0.03/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.42  
% 0.03/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.42  
% 0.03/0.42  % Detected problem language: tptp
% 0.03/0.43  % Proving...
% 4.37/1.28  % SZS status Started for theBenchmark.p
% 4.37/1.28  % SZS status Theorem for theBenchmark.p
% 4.37/1.28  
% 4.37/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/1.28  
% 4.37/1.28  % ------  iProver source info
% 4.37/1.28  
% 4.37/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.37/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/1.28  % git: non_committed_changes: false
% 4.37/1.28  
% 4.37/1.28  % ------ Parsing...
% 4.37/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.37/1.28  
% 4.37/1.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.37/1.28   gs_s  sp: 124 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % ------ Problem Properties 
% 4.37/1.28  
% 4.37/1.28  % 
% 4.37/1.28  % clauses                               199
% 4.37/1.28  % conjectures                           199
% 4.37/1.28  % EPR                                   199
% 4.37/1.28  % Horn                                  103
% 4.37/1.28  % unary                                 0
% 4.37/1.28  % binary                                89
% 4.37/1.28  % lits                                  542
% 4.37/1.28  % lits eq                               0
% 4.37/1.28  % fd_pure                               0
% 4.37/1.28  % fd_pseudo                             0
% 4.37/1.28  % fd_cond                               0
% 4.37/1.28  % fd_pseudo_cond                        0
% 4.37/1.28  % AC symbols                            0
% 4.37/1.28  
% 4.37/1.28  % ------ Schedule EPR non Horn non eq is on
% 4.37/1.28  
% 4.37/1.28  % ------ no equalities: superposition off 
% 4.37/1.28  
% 4.37/1.28  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.37/1.28  
% 4.37/1.28  
% 4.37/1.28  % ------ 
% 4.37/1.28  % Current options:
% 4.37/1.28  % ------ 
% 4.37/1.28  
% 4.37/1.28  
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % SZS status Theorem for theBenchmark.p
% 4.37/1.28  
% 4.37/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/1.29  
% 4.37/1.29  
%------------------------------------------------------------------------------