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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN484+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 : n019.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 03:40:29 PM UTC 2026

% Result   : Theorem 3.09s 6.19s
% Output   : CNFRefutation 4.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f233ERROR: Could not build tree for root c_17705ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp21
        | hskp16 )
      & ( hskp15
        | hskp19
        | hskp16 )
      & ( hskp6
        | hskp27
        | hskp30 )
      & ( hskp8
        | hskp5
        | hskp23 )
      & ( hskp21
        | hskp1
        | hskp28 )
      & ( hskp11
        | hskp4
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c2_1(X121)
              | ~ c1_1(X121) ) ) )
      & ( hskp25
        | hskp26
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp17
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp8
        | hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp4
        | hskp1
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp10
        | hskp14
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp25
        | hskp24
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp0
        | hskp12
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp17
        | hskp4
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c0_1(X113)
              | c3_1(X113) ) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp12
        | hskp11
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp24
        | hskp16
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp22
        | hskp1
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | c2_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | c3_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp15
        | hskp16
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp10
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp27
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp18
        | hskp6
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp15
        | hskp30
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp11
        | hskp10
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp17
        | hskp3
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | c3_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp6
        | hskp23
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp2
        | hskp22
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp10
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp10
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp5
        | hskp30
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | c2_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c0_1(X83)
              | c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp20
        | hskp13
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp18
        | hskp4
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp17
        | hskp13
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp16
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp10
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp3
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp13
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c3_1(X58)
              | c0_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp12
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | hskp9
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp10
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp8
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c0_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c2_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c2_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp9
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp29
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c1_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp8
        | hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp7
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp1
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp6
        | hskp29
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp5
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | ~ c0_1(X23)
              | c3_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp27
        | hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp3
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | ~ c0_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp2
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp28
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp1
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c0_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c2_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c3_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp27
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2005)
          & c2_1(a2005)
          & c0_1(a2005)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a1978)
          & c1_1(a1978)
          & c0_1(a1978)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1972)
          & c1_1(a1972)
          & c0_1(a1972)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1970)
          & c2_1(a1970)
          & c1_1(a1970)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a2049)
          & c3_1(a2049)
          & c0_1(a2049)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2041)
          & ~ c2_1(a2041)
          & ~ c0_1(a2041)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a2031)
          & ~ c1_1(a2031)
          & ~ c0_1(a2031)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2014)
          & c1_1(a2014)
          & c0_1(a2014)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2012)
          & ~ c2_1(a2012)
          & c0_1(a2012)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2009)
          & ~ c1_1(a2009)
          & c2_1(a2009)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2003)
          & c2_1(a2003)
          & c1_1(a2003)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a2001)
          & c3_1(a2001)
          & c2_1(a2001)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2000)
          & ~ c1_1(a2000)
          & ~ c0_1(a2000)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1998)
          & c3_1(a1998)
          & c1_1(a1998)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a1996)
          & c3_1(a1996)
          & c0_1(a1996)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a1993)
          & ~ c0_1(a1993)
          & c2_1(a1993)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1992)
          & ~ c0_1(a1992)
          & c1_1(a1992)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1991)
          & c2_1(a1991)
          & c0_1(a1991)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a1990)
          & ~ c1_1(a1990)
          & c3_1(a1990)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a1989)
          & ~ c0_1(a1989)
          & c2_1(a1989)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1987)
          & c3_1(a1987)
          & c2_1(a1987)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1985)
          & ~ c0_1(a1985)
          & c1_1(a1985)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1983)
          & ~ c0_1(a1983)
          & c3_1(a1983)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1981)
          & c1_1(a1981)
          & c0_1(a1981)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1979)
          & ~ c0_1(a1979)
          & c3_1(a1979)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1977)
          & ~ c2_1(a1977)
          & c1_1(a1977)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a1975)
          & ~ c1_1(a1975)
          & c0_1(a1975)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a1974)
          & c2_1(a1974)
          & c1_1(a1974)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1973)
          & c3_1(a1973)
          & c1_1(a1973)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a1971)
          & c2_1(a1971)
          & c0_1(a1971)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1969)
          & ~ c2_1(a1969)
          & ~ c1_1(a1969)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp21
          | hskp16 )
        & ( hskp15
          | hskp19
          | hskp16 )
        & ( hskp6
          | hskp27
          | hskp30 )
        & ( hskp8
          | hskp5
          | hskp23 )
        & ( hskp21
          | hskp1
          | hskp28 )
        & ( hskp11
          | hskp4
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c2_1(X121)
                | ~ c1_1(X121) ) ) )
        & ( hskp25
          | hskp26
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp17
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp8
          | hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp4
          | hskp1
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp10
          | hskp14
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp25
          | hskp24
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp0
          | hskp12
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp17
          | hskp4
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c0_1(X113)
                | c3_1(X113) ) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp12
          | hskp11
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp24
          | hskp16
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp22
          | hskp1
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | c2_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp15
          | hskp16
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp10
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp27
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp18
          | hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp15
          | hskp30
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp11
          | hskp10
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp17
          | hskp3
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c3_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp6
          | hskp23
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp2
          | hskp22
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp10
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp10
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp5
          | hskp30
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp20
          | hskp13
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp18
          | hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp17
          | hskp13
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp10
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp3
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp13
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | hskp9
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp10
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp8
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp9
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp8
          | hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp7
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp6
          | hskp29
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp5
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp27
          | hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp2
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp1
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c2_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp27
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2005)
            & c2_1(a2005)
            & c0_1(a2005)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1978)
            & c1_1(a1978)
            & c0_1(a1978)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1972)
            & c1_1(a1972)
            & c0_1(a1972)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1970)
            & c2_1(a1970)
            & c1_1(a1970)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2049)
            & c3_1(a2049)
            & c0_1(a2049)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2041)
            & ~ c2_1(a2041)
            & ~ c0_1(a2041)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a2031)
            & ~ c1_1(a2031)
            & ~ c0_1(a2031)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2014)
            & c1_1(a2014)
            & c0_1(a2014)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2012)
            & ~ c2_1(a2012)
            & c0_1(a2012)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2009)
            & ~ c1_1(a2009)
            & c2_1(a2009)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2003)
            & c2_1(a2003)
            & c1_1(a2003)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a2001)
            & c3_1(a2001)
            & c2_1(a2001)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2000)
            & ~ c1_1(a2000)
            & ~ c0_1(a2000)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1998)
            & c3_1(a1998)
            & c1_1(a1998)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a1996)
            & c3_1(a1996)
            & c0_1(a1996)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1993)
            & ~ c0_1(a1993)
            & c2_1(a1993)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1992)
            & ~ c0_1(a1992)
            & c1_1(a1992)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1991)
            & c2_1(a1991)
            & c0_1(a1991)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1990)
            & ~ c1_1(a1990)
            & c3_1(a1990)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1989)
            & ~ c0_1(a1989)
            & c2_1(a1989)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1987)
            & c3_1(a1987)
            & c2_1(a1987)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1985)
            & ~ c0_1(a1985)
            & c1_1(a1985)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1983)
            & ~ c0_1(a1983)
            & c3_1(a1983)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1981)
            & c1_1(a1981)
            & c0_1(a1981)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1979)
            & ~ c0_1(a1979)
            & c3_1(a1979)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1977)
            & ~ c2_1(a1977)
            & c1_1(a1977)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1975)
            & ~ c1_1(a1975)
            & c0_1(a1975)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a1974)
            & c2_1(a1974)
            & c1_1(a1974)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1973)
            & c3_1(a1973)
            & c1_1(a1973)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1971)
            & c2_1(a1971)
            & c0_1(a1971)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1969)
            & ~ c2_1(a1969)
            & ~ c1_1(a1969)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp18
      | hskp21
      | hskp16 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( hskp6
      | hskp27
      | hskp30 )
    & ( hskp8
      | hskp5
      | hskp23 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( hskp11
      | hskp4
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | ~ c2_1(X121)
            | ~ c1_1(X121) ) ) )
    & ( hskp25
      | hskp26
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c1_1(X120)
            | ~ c0_1(X120) ) ) )
    & ( hskp17
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | ~ c1_1(X119)
            | ~ c0_1(X119) ) ) )
    & ( hskp8
      | hskp3
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c1_1(X118)
            | ~ c0_1(X118) ) ) )
    & ( hskp4
      | hskp1
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c1_1(X117)
            | ~ c0_1(X117) ) ) )
    & ( hskp10
      | hskp14
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | c3_1(X116) ) ) )
    & ( hskp25
      | hskp24
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp0
      | hskp12
      | ! [X114] :
          ( ndr1_0
         => ( ~ c2_1(X114)
            | ~ c0_1(X114)
            | c3_1(X114) ) ) )
    & ( hskp17
      | hskp4
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | ~ c0_1(X113)
            | c3_1(X113) ) ) )
    & ( hskp10
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c0_1(X111)
            | c3_1(X111) ) ) )
    & ( hskp12
      | hskp11
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) ) )
    & ( hskp20
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | ~ c0_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | c2_1(X108) ) ) )
    & ( hskp24
      | hskp16
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp22
      | hskp1
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c0_1(X106)
            | c2_1(X106) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | c3_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c1_1(X104)
            | c2_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | c3_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp15
      | hskp16
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp10
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c1_1(X101) ) ) )
    & ( hskp27
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | ~ c1_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c1_1(X99) ) ) )
    & ( hskp18
      | hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c1_1(X98) ) ) )
    & ( hskp15
      | hskp30
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c1_1(X97) ) ) )
    & ( hskp11
      | hskp10
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) ) )
    & ( hskp17
      | hskp3
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c3_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp6
      | hskp23
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | c3_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp2
      | hskp22
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp10
      | hskp1
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c2_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp21
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp10
      | hskp4
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp5
      | hskp30
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c2_1(X85)
            | c1_1(X85) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c1_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | ~ c0_1(X83)
            | c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp12
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | c3_1(X78)
            | c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp20
      | hskp13
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp19
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp18
      | hskp4
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp17
      | hskp13
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp16
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp10
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c1_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp3
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp15
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c2_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp14
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp13
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c2_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp11
      | hskp9
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp10
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | ~ c0_1(X51)
            | c2_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp8
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c2_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp9
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | c0_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c1_1(X34)
            | c2_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c3_1(X33)
            | c0_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp8
      | hskp28
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp7
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c2_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp6
      | hskp29
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp5
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp27
      | hskp4
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp2
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp1
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c1_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | c2_1(X11)
            | c1_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c3_1(X8)
            | c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c2_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp27
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c2_1(X3)
            | c0_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | c2_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a2005)
        & c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1978)
        & c1_1(a1978)
        & c0_1(a1978)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1972)
        & c1_1(a1972)
        & c0_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2049)
        & c3_1(a2049)
        & c0_1(a2049)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2041)
        & ~ c2_1(a2041)
        & ~ c0_1(a2041)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a2031)
        & ~ c1_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & c0_1(a2014)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2012)
        & ~ c2_1(a2012)
        & c0_1(a2012)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2009)
        & ~ c1_1(a2009)
        & c2_1(a2009)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2003)
        & c2_1(a2003)
        & c1_1(a2003)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2001)
        & c3_1(a2001)
        & c2_1(a2001)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2000)
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1998)
        & c3_1(a1998)
        & c1_1(a1998)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1996)
        & c3_1(a1996)
        & c0_1(a1996)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & c2_1(a1993)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1992)
        & ~ c0_1(a1992)
        & c1_1(a1992)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1991)
        & c2_1(a1991)
        & c0_1(a1991)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1990)
        & ~ c1_1(a1990)
        & c3_1(a1990)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1989)
        & ~ c0_1(a1989)
        & c2_1(a1989)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1987)
        & c3_1(a1987)
        & c2_1(a1987)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1985)
        & ~ c0_1(a1985)
        & c1_1(a1985)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1983)
        & ~ c0_1(a1983)
        & c3_1(a1983)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1981)
        & c1_1(a1981)
        & c0_1(a1981)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1979)
        & ~ c0_1(a1979)
        & c3_1(a1979)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1977)
        & ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1975)
        & ~ c1_1(a1975)
        & c0_1(a1975)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a1974)
        & c2_1(a1974)
        & c1_1(a1974)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1973)
        & c3_1(a1973)
        & c1_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ~ c1_1(a1969)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp21
      | hskp16 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( hskp6
      | hskp27
      | hskp30 )
    & ( hskp8
      | hskp5
      | hskp23 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( hskp11
      | hskp4
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c3_1(X121)
          | ~ c2_1(X121)
          | ~ c1_1(X121) ) )
    & ( hskp25
      | hskp26
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c1_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp17
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp8
      | hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c1_1(X118)
          | ~ c0_1(X118) ) )
    & ( hskp4
      | hskp1
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp10
      | hskp14
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | c3_1(X116) ) )
    & ( hskp25
      | hskp24
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp0
      | hskp12
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp17
      | hskp4
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | ~ c0_1(X113)
          | c3_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | c3_1(X111) ) )
    & ( hskp12
      | hskp11
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) ) )
    & ( hskp20
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | c2_1(X108) ) )
    & ( hskp24
      | hskp16
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp22
      | hskp1
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | c3_1(X103)
          | c2_1(X103) ) )
    & ( hskp15
      | hskp16
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102) ) )
    & ( hskp10
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp27
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c1_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp18
      | hskp6
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp15
      | hskp30
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97) ) )
    & ( hskp11
      | hskp10
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp17
      | hskp3
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | c3_1(X95)
          | c1_1(X95) ) )
    & ( hskp6
      | hskp23
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94) ) )
    & ( hskp2
      | hskp22
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | c2_1(X93)
          | c1_1(X93) ) )
    & ( hskp10
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp10
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c2_1(X89)
          | c1_1(X89) ) )
    & ( hskp5
      | hskp30
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c2_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | ~ c0_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp12
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | c3_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp20
      | hskp13
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74) ) )
    & ( hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72) ) )
    & ( hskp18
      | hskp4
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71) ) )
    & ( hskp17
      | hskp13
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70) ) )
    & ( hskp16
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68) ) )
    & ( hskp10
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66) ) )
    & ( hskp3
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp15
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( hskp13
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp12
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | hskp9
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp10
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp8
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c2_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp9
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp29
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c3_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp8
      | hskp28
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp7
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp1
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp6
      | hskp29
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp5
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp27
      | hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp2
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp28
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp1
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c1_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | c2_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c3_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | c2_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp27
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2005)
        & c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1978)
        & c1_1(a1978)
        & c0_1(a1978)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1972)
        & c1_1(a1972)
        & c0_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2049)
        & c3_1(a2049)
        & c0_1(a2049)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2041)
        & ~ c2_1(a2041)
        & ~ c0_1(a2041)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a2031)
        & ~ c1_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & c0_1(a2014)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2012)
        & ~ c2_1(a2012)
        & c0_1(a2012)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2009)
        & ~ c1_1(a2009)
        & c2_1(a2009)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2003)
        & c2_1(a2003)
        & c1_1(a2003)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2001)
        & c3_1(a2001)
        & c2_1(a2001)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2000)
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1998)
        & c3_1(a1998)
        & c1_1(a1998)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1996)
        & c3_1(a1996)
        & c0_1(a1996)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & c2_1(a1993)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1992)
        & ~ c0_1(a1992)
        & c1_1(a1992)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1991)
        & c2_1(a1991)
        & c0_1(a1991)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1990)
        & ~ c1_1(a1990)
        & c3_1(a1990)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1989)
        & ~ c0_1(a1989)
        & c2_1(a1989)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1987)
        & c3_1(a1987)
        & c2_1(a1987)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1985)
        & ~ c0_1(a1985)
        & c1_1(a1985)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1983)
        & ~ c0_1(a1983)
        & c3_1(a1983)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1981)
        & c1_1(a1981)
        & c0_1(a1981)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1979)
        & ~ c0_1(a1979)
        & c3_1(a1979)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1977)
        & ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1975)
        & ~ c1_1(a1975)
        & c0_1(a1975)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a1974)
        & c2_1(a1974)
        & c1_1(a1974)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1973)
        & c3_1(a1973)
        & c1_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ~ c1_1(a1969)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp21
      | hskp16 )
    & ( hskp15
      | hskp19
      | hskp16 )
    & ( hskp6
      | hskp27
      | hskp30 )
    & ( hskp8
      | hskp5
      | hskp23 )
    & ( hskp21
      | hskp1
      | hskp28 )
    & ( hskp11
      | hskp4
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c3_1(X121)
          | ~ c2_1(X121)
          | ~ c1_1(X121) ) )
    & ( hskp25
      | hskp26
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c1_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp17
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp8
      | hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c1_1(X118)
          | ~ c0_1(X118) ) )
    & ( hskp4
      | hskp1
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp10
      | hskp14
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | c3_1(X116) ) )
    & ( hskp25
      | hskp24
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp0
      | hskp12
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp17
      | hskp4
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | ~ c0_1(X113)
          | c3_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | c3_1(X111) ) )
    & ( hskp12
      | hskp11
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) ) )
    & ( hskp20
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | c2_1(X108) ) )
    & ( hskp24
      | hskp16
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp22
      | hskp1
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | c3_1(X103)
          | c2_1(X103) ) )
    & ( hskp15
      | hskp16
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102) ) )
    & ( hskp10
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp27
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c1_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp18
      | hskp6
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp15
      | hskp30
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97) ) )
    & ( hskp11
      | hskp10
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp17
      | hskp3
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | c3_1(X95)
          | c1_1(X95) ) )
    & ( hskp6
      | hskp23
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | c3_1(X94)
          | c1_1(X94) ) )
    & ( hskp2
      | hskp22
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | c2_1(X93)
          | c1_1(X93) ) )
    & ( hskp10
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp10
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c2_1(X89)
          | c1_1(X89) ) )
    & ( hskp5
      | hskp30
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c2_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c1_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | ~ c0_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp12
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | c3_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp20
      | hskp13
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74) ) )
    & ( hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | c0_1(X72) ) )
    & ( hskp18
      | hskp4
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71) ) )
    & ( hskp17
      | hskp13
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70) ) )
    & ( hskp16
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68) ) )
    & ( hskp10
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | c0_1(X66) ) )
    & ( hskp3
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp15
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( hskp13
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp12
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | hskp9
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp10
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp8
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c2_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c2_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp9
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp29
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c3_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp8
      | hskp28
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp7
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp1
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp6
      | hskp29
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp5
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp27
      | hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c1_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp2
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp28
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp1
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c1_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | c2_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c3_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | c2_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp27
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2005)
        & c2_1(a2005)
        & c0_1(a2005)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a1978)
        & c1_1(a1978)
        & c0_1(a1978)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1972)
        & c1_1(a1972)
        & c0_1(a1972)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1970)
        & c2_1(a1970)
        & c1_1(a1970)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2049)
        & c3_1(a2049)
        & c0_1(a2049)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2041)
        & ~ c2_1(a2041)
        & ~ c0_1(a2041)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a2031)
        & ~ c1_1(a2031)
        & ~ c0_1(a2031)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2014)
        & c1_1(a2014)
        & c0_1(a2014)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2012)
        & ~ c2_1(a2012)
        & c0_1(a2012)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2009)
        & ~ c1_1(a2009)
        & c2_1(a2009)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2003)
        & c2_1(a2003)
        & c1_1(a2003)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2001)
        & c3_1(a2001)
        & c2_1(a2001)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2000)
        & ~ c1_1(a2000)
        & ~ c0_1(a2000)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1998)
        & c3_1(a1998)
        & c1_1(a1998)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a1996)
        & c3_1(a1996)
        & c0_1(a1996)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1993)
        & ~ c0_1(a1993)
        & c2_1(a1993)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1992)
        & ~ c0_1(a1992)
        & c1_1(a1992)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1991)
        & c2_1(a1991)
        & c0_1(a1991)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a1990)
        & ~ c1_1(a1990)
        & c3_1(a1990)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a1989)
        & ~ c0_1(a1989)
        & c2_1(a1989)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a1987)
        & c3_1(a1987)
        & c2_1(a1987)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a1985)
        & ~ c0_1(a1985)
        & c1_1(a1985)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1983)
        & ~ c0_1(a1983)
        & c3_1(a1983)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1981)
        & c1_1(a1981)
        & c0_1(a1981)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1979)
        & ~ c0_1(a1979)
        & c3_1(a1979)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1977)
        & ~ c2_1(a1977)
        & c1_1(a1977)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a1975)
        & ~ c1_1(a1975)
        & c0_1(a1975)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a1974)
        & c2_1(a1974)
        & c1_1(a1974)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1973)
        & c3_1(a1973)
        & c1_1(a1973)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1971)
        & c2_1(a1971)
        & c0_1(a1971)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1969)
        & ~ c2_1(a1969)
        & ~ c1_1(a1969)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp18
    | hskp21
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp15
    | hskp19
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp6
    | hskp27
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp21
    | hskp1
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X121] :
      ( hskp11
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X121)
      | ~ c2_1(X121)
      | ~ c1_1(X121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X119] :
      ( hskp17
      | ~ ndr1_0
      | ~ c2_1(X119)
      | ~ c1_1(X119)
      | ~ c0_1(X119) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X117] :
      ( hskp4
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X117)
      | ~ c1_1(X117)
      | ~ c0_1(X117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X116] :
      ( hskp10
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X116)
      | ~ c1_1(X116)
      | c3_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X113] :
      ( hskp17
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X113)
      | ~ c0_1(X113)
      | c3_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X110] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X110)
      | ~ c1_1(X110)
      | c2_1(X110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X106] :
      ( hskp22
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X106)
      | ~ c0_1(X106)
      | c2_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X101] :
      ( hskp10
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c1_1(X101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98] :
      ( hskp18
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | c1_1(X98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X96] :
      ( hskp11
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X96)
      | ~ c0_1(X96)
      | c1_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X93] :
      ( hskp2
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X93)
      | c2_1(X93)
      | c1_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X92] :
      ( hskp10
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X92)
      | c2_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X89] :
      ( hskp10
      | hskp4
      | ~ ndr1_0
      | ~ c0_1(X89)
      | c2_1(X89)
      | c1_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X76] :
      ( hskp20
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | c0_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X71] :
      ( hskp18
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | c0_1(X71) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X52] :
      ( hskp11
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X52)
      | c2_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X31] :
      ( hskp8
      | hskp28
      | ~ ndr1_0
      | ~ c1_1(X31)
      | c2_1(X31)
      | c0_1(X31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X21] :
      ( hskp27
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X21)
      | c1_1(X21)
      | c0_1(X21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c0_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ c3_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c2_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c0_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ c3_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c1_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ c3_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( c2_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ c0_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( c3_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ c3_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a2000)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ c0_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ c2_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c0_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ c1_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c0_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ c2_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c0_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ c3_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ c2_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c1_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c3_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ c3_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c0_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c2_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ c1_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c2_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ c3_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c1_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ c1_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c0_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ c3_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( c1_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c0_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ c2_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c0_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ c2_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c1_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c0_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ c0_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( c2_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c1_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ c2_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c1_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ c1_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_59,negated_conjecture,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a1974)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a1975)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_73,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_74,negated_conjecture,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_79,negated_conjecture,
    ( c1_1(a1981)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1981) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_82,negated_conjecture,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_86,negated_conjecture,
    ( c1_1(a1985)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1985) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_90,negated_conjecture,
    ( c2_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a1989)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1989) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_98,negated_conjecture,
    ( c3_1(a1990)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_106,negated_conjecture,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_118,negated_conjecture,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_119,negated_conjecture,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_122,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a2001)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_131,negated_conjecture,
    ( c2_1(a2003)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_134,negated_conjecture,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2009) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a2012)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_159,negated_conjecture,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp4
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp8
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp6
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp10
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_242,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_243,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp1 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_245,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp6 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_246,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_247,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_282,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_245,c_169,c_157,c_73]) ).

tcf(c_347,plain,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_245,c_169,c_157,c_73,c_226]) ).

tcf(c_348,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_347]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_245,c_169,c_157,c_73,c_219]) ).

tcf(c_359,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_245,c_169,c_157,c_73,c_226,c_218]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_359]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_245,c_169,c_157,c_73,c_216]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_245,c_169,c_157,c_73,c_197]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp8
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_245,c_169,c_157,c_73,c_188]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp4
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_245,c_169,c_157,c_73,c_182]) ).

tcf(c_380,plain,
    ! [X0: $i] :
      ( hskp17
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_245,c_169,c_157,c_73,c_240]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_380]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp10
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_245,c_169,c_157,c_73,c_237]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp10
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_392,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_245,c_169,c_157,c_73,c_234]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_392]) ).

tcf(c_395,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_245,c_169,c_157,c_73,c_232]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_395]) ).

tcf(c_401,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_245,c_169,c_157,c_73,c_229]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_404,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp6
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_245,c_169,c_157,c_73,c_224]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp6
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_245,c_169,c_157,c_73,c_222]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_413,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_245,c_169,c_157,c_73,c_210]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp13
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_416,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp4
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_245,c_169,c_157,c_73,c_207]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_422,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_245,c_169,c_157,c_73,c_242]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_431,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_245,c_169,c_157,c_73,c_238]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_431]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_245,c_169,c_157,c_73,c_180]) ).

tcf(c_443,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_245,c_169,c_157,c_73,c_212]) ).

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

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_245,c_169,c_157,c_73,c_186]) ).

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

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_245,c_169,c_157,c_73,c_185]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_245,c_169,c_157,c_73,c_178]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_245,c_169,c_157,c_73,c_209]) ).

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

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_245,c_169,c_157,c_73,c_201]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_245,c_169,c_157,c_73,c_200]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_245,c_169,c_157,c_73,c_198]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_245,c_169,c_157,c_73,c_187]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_245,c_169,c_157,c_73,c_181]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_245,c_169,c_157,c_73,c_179]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_245,c_169,c_157,c_73,c_208]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c0_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_245,c_169,c_157,c_73,c_204]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_245,c_169,c_157,c_73,c_203]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_245,c_169,c_157,c_73,c_233]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_245,c_169,c_157,c_73,c_231]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_245,c_169,c_157,c_73,c_225]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_205,c_282]) ).

tcf(c_493,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_492]) ).

tcf(c_494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_245,c_169,c_157,c_73,c_211]) ).

tcf(c_495,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_494]) ).

tcf(c_498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_245,c_169,c_157,c_73,c_177]) ).

tcf(c_499,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_498]) ).

tcf(c_500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_245,c_169,c_157,c_73,c_176]) ).

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

tcf(c_502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_245,c_169,c_157,c_73,c_194]) ).

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

tcf(c_506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_245,c_169,c_157,c_73,c_189]) ).

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

tcf(c_508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_245,c_169,c_157,c_73,c_175]) ).

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

tcf(c_510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_245,c_169,c_157,c_73,c_228]) ).

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

tcf(c_512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_245,c_169,c_157,c_73,c_214]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_245,c_169,c_157,c_73,c_213]) ).

tcf(c_515,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_514]) ).

tcf(c_516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_245,c_169,c_157,c_73,c_199]) ).

tcf(c_517,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_516]) ).

tcf(c_1248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_503,c_454]) ).

tcf(c_3754,plain,
    ( hskp18
    | hskp16
    | ~ c3_1(a2009) ),
    inference(resolution,[status(thm)],[c_247,c_136]) ).

tcf(c_3764,plain,
    ( hskp18
    | hskp16
    | ~ c1_1(a2009) ),
    inference(resolution,[status(thm)],[c_247,c_135]) ).

tcf(c_3774,plain,
    ( hskp18
    | hskp16
    | c2_1(a2009) ),
    inference(resolution,[status(thm)],[c_247,c_134]) ).

tcf(c_3784,plain,
    ( hskp28
    | hskp1
    | ~ c3_1(a2009) ),
    inference(resolution,[status(thm)],[c_243,c_136]) ).

tcf(c_3794,plain,
    ( hskp28
    | hskp1
    | ~ c1_1(a2009) ),
    inference(resolution,[status(thm)],[c_243,c_135]) ).

tcf(c_3804,plain,
    ( hskp28
    | hskp1
    | c2_1(a2009) ),
    inference(resolution,[status(thm)],[c_243,c_134]) ).

tcf(c_5806,plain,
    ( hskp19
    | hskp16
    | ~ c1_1(a1993) ),
    inference(resolution,[status(thm)],[c_246,c_112]) ).

tcf(c_5816,plain,
    ( hskp19
    | hskp16
    | ~ c0_1(a1993) ),
    inference(resolution,[status(thm)],[c_246,c_111]) ).

tcf(c_5826,plain,
    ( hskp19
    | hskp16
    | c2_1(a1993) ),
    inference(resolution,[status(thm)],[c_246,c_110]) ).

tcf(c_16177,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1248]) ).

tcf(c_16179,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_517]) ).

tcf(c_16180,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_517]) ).

tcf(c_16181,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

tcf(c_16182,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_515]) ).

tcf(c_16183,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_515]) ).

tcf(c_16184,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_515]) ).

tcf(c_16185,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

tcf(c_16186,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_513]) ).

tcf(c_16187,negated_conjecture,
    ( iPr_def_18
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

tcf(c_16188,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_511]) ).

tcf(c_16189,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_511]) ).

tcf(c_16190,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_16191,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_509]) ).

tcf(c_16192,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_509]) ).

tcf(c_16193,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

tcf(c_16194,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

tcf(c_16196,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_501]) ).

tcf(c_16197,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_501]) ).

tcf(c_16198,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_16199,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_499]) ).

tcf(c_16200,negated_conjecture,
    ( iPr_def_25
    | iPr_def_22
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

tcf(c_16202,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_495]) ).

tcf(c_16204,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_493]) ).

tcf(c_16205,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_493]) ).

tcf(c_16206,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

tcf(c_16207,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_491]) ).

tcf(c_16208,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_16209,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_16210,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_486]) ).

tcf(c_16211,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_16212,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_483]) ).

tcf(c_16214,negated_conjecture,
    ( iPr_def_31
    | iPr_def_19
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_16215,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_479]) ).

tcf(c_16216,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_479]) ).

tcf(c_16218,negated_conjecture,
    ( iPr_def_29
    | iPr_def_22
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_16219,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_475]) ).

tcf(c_16220,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_16223,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_471]) ).

tcf(c_16224,negated_conjecture,
    ( iPr_def_36
    | iPr_def_31
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_16229,negated_conjecture,
    ( iPr_def_28
    | iPr_def_14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_16230,negated_conjecture,
    ( iPr_def_28
    | iPr_def_23
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_16231,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_16232,negated_conjecture,
    ( iPr_def_33
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_16233,negated_conjecture,
    ( iPr_def_22
    | iPr_def_12
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_16234,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_450]) ).

tcf(c_16237,negated_conjecture,
    ( iPr_def_37
    | iPr_def_29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_16239,negated_conjecture,
    ( iPr_def_26
    | iPr_def_12
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_16243,negated_conjecture,
    ( iPr_def_34
    | iPr_def_26
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

tcf(c_16245,negated_conjecture,
    ( iPr_def_13
    | hskp4
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

tcf(c_16248,negated_conjecture,
    ( iPr_def_29
    | hskp11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_16250,negated_conjecture,
    ( iPr_def_28
    | hskp18
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_16251,negated_conjecture,
    ( iPr_def_33
    | hskp20
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_16252,negated_conjecture,
    ( iPr_def_17
    | hskp11
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_16254,negated_conjecture,
    ( iPr_def_32
    | hskp18
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_16255,negated_conjecture,
    ( iPr_def_12
    | hskp22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_16257,negated_conjecture,
    ( iPr_def_18
    | hskp12
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

tcf(c_16258,negated_conjecture,
    ( iPr_def_30
    | hskp17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

tcf(c_16261,negated_conjecture,
    ( iPr_def_24
    | hskp14
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_16262,negated_conjecture,
    ( iPr_def_34
    | hskp27
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

tcf(c_16264,negated_conjecture,
    ( iPr_def_36
    | hskp28
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_16265,negated_conjecture,
    ( iPr_def_21
    | hskp11
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_16267,negated_conjecture,
    ( iPr_def_16
    | hskp10
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_16268,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_360]) ).

tcf(c_16269,negated_conjecture,
    ( iPr_def_40
    | hskp10
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_16270,negated_conjecture,
    ( iPr_def_25
    | hskp22
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_16279,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_16181]) ).

tcf(c_16283,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_16185]) ).

tcf(c_16287,negated_conjecture,
    ( iPr_def_18
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_16187]) ).

tcf(c_16291,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_16190]) ).

tcf(c_16295,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_16193]) ).

tcf(c_16299,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_16194]) ).

tcf(c_16307,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_16198]) ).

tcf(c_16311,negated_conjecture,
    ( iPr_def_25
    | iPr_def_22
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_16200]) ).

tcf(c_16323,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_16206]) ).

tcf(c_16326,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_16208]) ).

tcf(c_16328,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16182]) ).

tcf(c_16329,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_16209]) ).

tcf(c_16332,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16211]) ).

tcf(c_16338,negated_conjecture,
    ( iPr_def_31
    | iPr_def_19
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16214]) ).

tcf(c_16340,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16188]) ).

tcf(c_16344,negated_conjecture,
    ( iPr_def_29
    | iPr_def_22
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_16218]) ).

tcf(c_16347,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_16220]) ).

tcf(c_16353,negated_conjecture,
    ( iPr_def_36
    | iPr_def_31
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_16224]) ).

tcf(c_16355,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_31
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16212]) ).

tcf(c_16368,negated_conjecture,
    ( iPr_def_28
    | iPr_def_14
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16229]) ).

tcf(c_16369,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_14
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16180]) ).

tcf(c_16371,negated_conjecture,
    ( iPr_def_28
    | iPr_def_23
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_16230]) ).

tcf(c_16374,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_16231]) ).

tcf(c_16377,negated_conjecture,
    ( iPr_def_33
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_16232]) ).

tcf(c_16380,negated_conjecture,
    ( iPr_def_22
    | iPr_def_12
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16233]) ).

tcf(c_16386,negated_conjecture,
    ( iPr_def_37
    | iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_16237]) ).

tcf(c_16391,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_23
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16196]) ).

tcf(c_16392,negated_conjecture,
    ( iPr_def_26
    | iPr_def_12
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16239]) ).

tcf(c_16396,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_20
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16189]) ).

tcf(c_16401,negated_conjecture,
    ( iPr_def_34
    | iPr_def_26
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_16243]) ).

tcf(c_16403,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_26 ),
    inference(demodulation,[status(thm)],[c_16202]) ).

tcf(c_16405,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_16192]) ).

tcf(c_16406,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_37 ),
    inference(demodulation,[status(thm)],[c_16234]) ).

tcf(c_16407,negated_conjecture,
    ( iPr_def_13
    | hskp4
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16245]) ).

tcf(c_16410,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16179]) ).

tcf(c_16412,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16204]) ).

tcf(c_16413,negated_conjecture,
    ( iPr_def_29
    | hskp11
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16248]) ).

tcf(c_16414,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16207]) ).

tcf(c_16417,negated_conjecture,
    ( iPr_def_28
    | hskp18
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16250]) ).

tcf(c_16418,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_28
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16205]) ).

tcf(c_16419,negated_conjecture,
    ( iPr_def_33
    | hskp20
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_16251]) ).

tcf(c_16420,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_33
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16216]) ).

tcf(c_16421,negated_conjecture,
    ( iPr_def_17
    | hskp11
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16252]) ).

tcf(c_16422,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16184]) ).

tcf(c_16425,negated_conjecture,
    ( iPr_def_32
    | hskp18
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_16254]) ).

tcf(c_16426,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16215]) ).

tcf(c_16427,negated_conjecture,
    ( iPr_def_12
    | hskp22
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16255]) ).

tcf(c_16430,plain,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16177]) ).

tcf(c_16431,negated_conjecture,
    ( iPr_def_18
    | hskp12
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_16257]) ).

tcf(c_16432,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16186]) ).

tcf(c_16433,negated_conjecture,
    ( iPr_def_30
    | hskp17
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16258]) ).

tcf(c_16438,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_30
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16210]) ).

tcf(c_16439,negated_conjecture,
    ( iPr_def_24
    | hskp14
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16261]) ).

tcf(c_16440,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_24
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16197]) ).

tcf(c_16441,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_381]) ).

tcf(c_16442,negated_conjecture,
    ( iPr_def_34
    | hskp27
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16262]) ).

tcf(c_16443,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_34
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16219]) ).

tcf(c_16446,negated_conjecture,
    ( iPr_def_36
    | hskp28
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_16264]) ).

tcf(c_16447,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_36
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16223]) ).

tcf(c_16448,negated_conjecture,
    ( iPr_def_21
    | hskp11
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_16265]) ).

tcf(c_16449,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_21
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16191]) ).

tcf(c_16452,negated_conjecture,
    ( iPr_def_16
    | hskp10
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16267]) ).

tcf(c_16453,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_16
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16183]) ).

tcf(c_16454,negated_conjecture,
    ( iPr_def_40
    | hskp10
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16269]) ).

tcf(c_16455,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_40
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16268]) ).

tcf(c_16456,negated_conjecture,
    ( iPr_def_25
    | hskp22
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_16270]) ).

tcf(c_16457,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_25
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16199]) ).

tcf(c_16462,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_348]) ).

tcf(c_16597,plain,
    ( c0_1(a1985)
    | c3_1(a1985)
    | ~ iPr_def_14
    | ~ c1_1(a1985) ),
    inference(instantiation,[status(thm)],[c_16369]) ).

tcf(c_16600,plain,
    ( c0_1(a2003)
    | c3_1(a2003)
    | ~ iPr_def_14
    | ~ c1_1(a2003) ),
    inference(instantiation,[status(thm)],[c_16369]) ).

tcf(c_16613,plain,
    ( c0_1(a2000)
    | c3_1(a2000)
    | c1_1(a2000)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16405]) ).

tcf(c_16620,plain,
    ( ~ iPr_def_29
    | ~ c3_1(a2001)
    | ~ c2_1(a2001)
    | ~ c1_1(a2001) ),
    inference(instantiation,[status(thm)],[c_16414]) ).

tcf(c_16622,plain,
    ( ~ iPr_def_29
    | ~ c3_1(a1970)
    | ~ c2_1(a1970)
    | ~ c1_1(a1970) ),
    inference(instantiation,[status(thm)],[c_16414]) ).

tcf(c_16628,plain,
    ( c2_1(a1996)
    | c1_1(a1996)
    | ~ iPr_def_16
    | ~ c0_1(a1996) ),
    inference(instantiation,[status(thm)],[c_16453]) ).

tcf(c_16636,plain,
    ( c2_1(a1996)
    | ~ iPr_def_12
    | ~ c0_1(a1996)
    | ~ c1_1(a1996) ),
    inference(instantiation,[status(thm)],[c_16430]) ).

tcf(c_16638,plain,
    ( c2_1(a1972)
    | ~ iPr_def_12
    | ~ c0_1(a1972)
    | ~ c1_1(a1972) ),
    inference(instantiation,[status(thm)],[c_16430]) ).

tcf(c_16648,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a1991)
    | ~ c2_1(a1991)
    | ~ c1_1(a1991) ),
    inference(instantiation,[status(thm)],[c_16410]) ).

tcf(c_16651,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a1970)
    | ~ c2_1(a1970)
    | ~ c1_1(a1970) ),
    inference(instantiation,[status(thm)],[c_16410]) ).

tcf(c_16655,plain,
    ( c0_1(a1983)
    | c2_1(a1983)
    | ~ iPr_def_21
    | ~ c3_1(a1983) ),
    inference(instantiation,[status(thm)],[c_16449]) ).

tcf(c_16658,plain,
    ( c0_1(a1998)
    | c2_1(a1998)
    | ~ iPr_def_21
    | ~ c3_1(a1998) ),
    inference(instantiation,[status(thm)],[c_16449]) ).

tcf(c_16680,plain,
    ( c1_1(a1971)
    | ~ iPr_def_17
    | ~ c0_1(a1971)
    | ~ c2_1(a1971) ),
    inference(instantiation,[status(thm)],[c_16422]) ).

tcf(c_16682,plain,
    ( c1_1(a1987)
    | ~ iPr_def_17
    | ~ c0_1(a1987)
    | ~ c2_1(a1987) ),
    inference(instantiation,[status(thm)],[c_16422]) ).

tcf(c_16685,plain,
    ( c1_1(a2009)
    | ~ iPr_def_17
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(instantiation,[status(thm)],[c_16422]) ).

tcf(c_16686,plain,
    ( c2_1(a1973)
    | ~ iPr_def_18
    | ~ c3_1(a1973)
    | ~ c1_1(a1973) ),
    inference(instantiation,[status(thm)],[c_16432]) ).

tcf(c_16690,plain,
    ( c2_1(a1996)
    | ~ iPr_def_18
    | ~ c3_1(a1996)
    | ~ c1_1(a1996) ),
    inference(instantiation,[status(thm)],[c_16432]) ).

tcf(c_16691,plain,
    ( c2_1(a1998)
    | ~ iPr_def_18
    | ~ c3_1(a1998)
    | ~ c1_1(a1998) ),
    inference(instantiation,[status(thm)],[c_16432]) ).

tcf(c_16694,plain,
    ( c2_1(a1972)
    | ~ iPr_def_18
    | ~ c3_1(a1972)
    | ~ c1_1(a1972) ),
    inference(instantiation,[status(thm)],[c_16432]) ).

tcf(c_16700,plain,
    ( c0_1(a1983)
    | ~ iPr_def_33
    | ~ c3_1(a1983)
    | ~ c2_1(a1983) ),
    inference(instantiation,[status(thm)],[c_16420]) ).

tcf(c_16701,plain,
    ( c0_1(a1987)
    | ~ iPr_def_33
    | ~ c3_1(a1987)
    | ~ c2_1(a1987) ),
    inference(instantiation,[status(thm)],[c_16420]) ).

tcf(c_16704,plain,
    ( c0_1(a1998)
    | ~ iPr_def_33
    | ~ c3_1(a1998)
    | ~ c2_1(a1998) ),
    inference(instantiation,[status(thm)],[c_16420]) ).

tcf(c_16706,plain,
    ( c0_1(a1970)
    | ~ iPr_def_33
    | ~ c3_1(a1970)
    | ~ c2_1(a1970) ),
    inference(instantiation,[status(thm)],[c_16420]) ).

tcf(c_16710,plain,
    ( c2_1(a1975)
    | c1_1(a1975)
    | ~ iPr_def_16
    | ~ c0_1(a1975) ),
    inference(instantiation,[status(thm)],[c_16453]) ).

tcf(c_16714,plain,
    ( c0_1(a1992)
    | c3_1(a1992)
    | c2_1(a1992)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_16406]) ).

tcf(c_16752,plain,
    ( ~ iPr_def_27
    | ~ c0_1(a1996)
    | ~ c3_1(a1996)
    | ~ c1_1(a1996) ),
    inference(instantiation,[status(thm)],[c_16412]) ).

tcf(c_16756,plain,
    ( ~ iPr_def_27
    | ~ c0_1(a1972)
    | ~ c3_1(a1972)
    | ~ c1_1(a1972) ),
    inference(instantiation,[status(thm)],[c_16412]) ).

tcf(c_16768,plain,
    ( c1_1(a1991)
    | ~ iPr_def_17
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(instantiation,[status(thm)],[c_16422]) ).

tcf(c_16790,plain,
    ( c1_1(a1983)
    | ~ iPr_def_40
    | ~ c3_1(a1983) ),
    inference(instantiation,[status(thm)],[c_16455]) ).

tcf(c_16791,plain,
    ( c1_1(a1990)
    | ~ iPr_def_40
    | ~ c3_1(a1990) ),
    inference(instantiation,[status(thm)],[c_16455]) ).

tcf(c_16802,plain,
    ( c0_1(a1989)
    | c3_1(a1989)
    | ~ iPr_def_23
    | ~ c2_1(a1989) ),
    inference(instantiation,[status(thm)],[c_16391]) ).

tcf(c_16805,plain,
    ( c0_1(a1974)
    | ~ iPr_def_31
    | ~ c2_1(a1974)
    | ~ c1_1(a1974) ),
    inference(instantiation,[status(thm)],[c_16355]) ).

tcf(c_16806,plain,
    ( c0_1(a1989)
    | ~ iPr_def_31
    | ~ c2_1(a1989)
    | ~ c1_1(a1989) ),
    inference(instantiation,[status(thm)],[c_16355]) ).

tcf(c_16817,plain,
    ( c0_1(a2009)
    | c3_1(a2009)
    | c1_1(a2009)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16405]) ).

tcf(c_16824,plain,
    ( c0_1(a1992)
    | ~ iPr_def_28
    | ~ c3_1(a1992)
    | ~ c1_1(a1992) ),
    inference(instantiation,[status(thm)],[c_16418]) ).

tcf(c_16826,plain,
    ( c0_1(a1998)
    | ~ iPr_def_28
    | ~ c3_1(a1998)
    | ~ c1_1(a1998) ),
    inference(instantiation,[status(thm)],[c_16418]) ).

tcf(c_16845,plain,
    ( c0_1(a1974)
    | ~ iPr_def_33
    | ~ c3_1(a1974)
    | ~ c2_1(a1974) ),
    inference(instantiation,[status(thm)],[c_16420]) ).

tcf(c_16856,plain,
    ( c3_1(a2012)
    | c2_1(a2012)
    | ~ iPr_def_20
    | ~ c1_1(a2012) ),
    inference(instantiation,[status(thm)],[c_16396]) ).

tcf(c_16866,plain,
    ( c3_1(a2003)
    | ~ iPr_def_30
    | ~ c0_1(a2003)
    | ~ c2_1(a2003) ),
    inference(instantiation,[status(thm)],[c_16438]) ).

tcf(c_16917,plain,
    ( hskp10
    | c1_1(a1983)
    | ~ c3_1(a1983)
    | ~ c2_1(a1983) ),
    inference(instantiation,[status(thm)],[c_16462]) ).

tcf(c_16944,plain,
    ( hskp17
    | ~ c0_1(a2003)
    | ~ c2_1(a2003)
    | ~ c1_1(a2003) ),
    inference(instantiation,[status(thm)],[c_16441]) ).

tcf(c_16971,plain,
    ( c3_1(a1989)
    | ~ iPr_def_24
    | ~ c2_1(a1989)
    | ~ c1_1(a1989) ),
    inference(instantiation,[status(thm)],[c_16440]) ).

tcf(c_16975,plain,
    ( c3_1(a2003)
    | ~ iPr_def_24
    | ~ c2_1(a2003)
    | ~ c1_1(a2003) ),
    inference(instantiation,[status(thm)],[c_16440]) ).

tcf(c_16992,plain,
    ( c0_1(a1998)
    | ~ iPr_def_31
    | ~ c2_1(a1998)
    | ~ c1_1(a1998) ),
    inference(instantiation,[status(thm)],[c_16355]) ).

tcf(c_17059,plain,
    ( c0_1(a1979)
    | c2_1(a1979)
    | ~ iPr_def_21
    | ~ c3_1(a1979) ),
    inference(instantiation,[status(thm)],[c_16449]) ).

tcf(c_17088,plain,
    ( c3_1(a1981)
    | ~ iPr_def_19
    | ~ c0_1(a1981)
    | ~ c1_1(a1981) ),
    inference(instantiation,[status(thm)],[c_16340]) ).

tcf(c_17091,plain,
    ( c3_1(a2003)
    | ~ iPr_def_19
    | ~ c0_1(a2003)
    | ~ c1_1(a2003) ),
    inference(instantiation,[status(thm)],[c_16340]) ).

tcf(c_17093,plain,
    ( c3_1(a2012)
    | ~ iPr_def_19
    | ~ c0_1(a2012)
    | ~ c1_1(a2012) ),
    inference(instantiation,[status(thm)],[c_16340]) ).

tcf(c_17134,plain,
    ( c3_1(a1975)
    | c2_1(a1975)
    | c1_1(a1975)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16403]) ).

tcf(c_17139,plain,
    ( c3_1(a2012)
    | c2_1(a2012)
    | c1_1(a2012)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16403]) ).

tcf(c_17145,plain,
    ( c0_1(a1989)
    | c3_1(a1989)
    | c1_1(a1989)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_16405]) ).

tcf(c_17165,plain,
    ( ~ iPr_def_29
    | ~ c3_1(a1972)
    | ~ c2_1(a1972)
    | ~ c1_1(a1972) ),
    inference(instantiation,[status(thm)],[c_16414]) ).

tcf(c_17198,plain,
    ( hskp17
    | ~ c0_1(a1972)
    | ~ c2_1(a1972)
    | ~ c1_1(a1972) ),
    inference(instantiation,[status(thm)],[c_16441]) ).

tcf(c_17215,plain,
    ( c3_1(a1991)
    | ~ iPr_def_30
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(instantiation,[status(thm)],[c_16438]) ).

tcf(c_17224,plain,
    ( c0_1(a1973)
    | c2_1(a1973)
    | ~ iPr_def_36
    | ~ c1_1(a1973) ),
    inference(instantiation,[status(thm)],[c_16447]) ).

tcf(c_17229,plain,
    ( c0_1(a1992)
    | c2_1(a1992)
    | ~ iPr_def_36
    | ~ c1_1(a1992) ),
    inference(instantiation,[status(thm)],[c_16447]) ).

tcf(c_17247,plain,
    ( c2_1(a1975)
    | c1_1(a1975)
    | ~ iPr_def_25
    | ~ c3_1(a1975) ),
    inference(instantiation,[status(thm)],[c_16457]) ).

tcf(c_17250,plain,
    ( c2_1(a1990)
    | c1_1(a1990)
    | ~ iPr_def_25
    | ~ c3_1(a1990) ),
    inference(instantiation,[status(thm)],[c_16457]) ).

tcf(c_17252,plain,
    ( c2_1(a1996)
    | c1_1(a1996)
    | ~ iPr_def_25
    | ~ c3_1(a1996) ),
    inference(instantiation,[status(thm)],[c_16457]) ).

tcf(c_17287,plain,
    ( c2_1(a2012)
    | ~ iPr_def_12
    | ~ c0_1(a2012)
    | ~ c1_1(a2012) ),
    inference(instantiation,[status(thm)],[c_16430]) ).

tcf(c_17308,plain,
    ( c2_1(a1983)
    | c1_1(a1983)
    | ~ iPr_def_25
    | ~ c3_1(a1983) ),
    inference(instantiation,[status(thm)],[c_16457]) ).

tcf(c_17347,plain,
    ( c2_1(a2012)
    | c1_1(a2012)
    | ~ iPr_def_16
    | ~ c0_1(a2012) ),
    inference(instantiation,[status(thm)],[c_16453]) ).

tcf(c_17354,plain,
    ( c3_1(a1971)
    | ~ iPr_def_30
    | ~ c0_1(a1971)
    | ~ c2_1(a1971) ),
    inference(instantiation,[status(thm)],[c_16438]) ).

tcf(c_17371,plain,
    ( c1_1(a1971)
    | ~ iPr_def_32
    | ~ c0_1(a1971)
    | ~ c3_1(a1971) ),
    inference(instantiation,[status(thm)],[c_16426]) ).

tcf(c_17377,plain,
    ( c0_1(a1987)
    | c1_1(a1987)
    | ~ iPr_def_34
    | ~ c2_1(a1987) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17378,plain,
    ( c0_1(a1989)
    | c1_1(a1989)
    | ~ iPr_def_34
    | ~ c2_1(a1989) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17380,plain,
    ( c0_1(a1993)
    | c1_1(a1993)
    | ~ iPr_def_34
    | ~ c2_1(a1993) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17381,plain,
    ( c0_1(a2001)
    | c1_1(a2001)
    | ~ iPr_def_34
    | ~ c2_1(a2001) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17383,plain,
    ( c0_1(a2009)
    | c1_1(a2009)
    | ~ iPr_def_34
    | ~ c2_1(a2009) ),
    inference(instantiation,[status(thm)],[c_16443]) ).

tcf(c_17418,plain,
    ( c3_1(a2009)
    | ~ iPr_def_30
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(instantiation,[status(thm)],[c_16438]) ).

tcf(c_17497,plain,
    ( c2_1(a1973)
    | ~ iPr_def_12
    | ~ c0_1(a1973)
    | ~ c1_1(a1973) ),
    inference(instantiation,[status(thm)],[c_16430]) ).

tcf(c_17507,plain,
    ( c1_1(a1987)
    | ~ iPr_def_15
    | ~ c3_1(a1987)
    | ~ c2_1(a1987) ),
    inference(instantiation,[status(thm)],[c_16328]) ).

tcf(c_17597,plain,
    ( c0_1(a1974)
    | c3_1(a1974)
    | ~ iPr_def_14
    | ~ c1_1(a1974) ),
    inference(instantiation,[status(thm)],[c_16369]) ).

tcf(c_17608,plain,
    ( c0_1(a1989)
    | c3_1(a1989)
    | ~ iPr_def_14
    | ~ c1_1(a1989) ),
    inference(instantiation,[status(thm)],[c_16369]) ).

tcf(c_17634,plain,
    ( c0_1(a1970)
    | ~ iPr_def_28
    | ~ c3_1(a1970)
    | ~ c1_1(a1970) ),
    inference(instantiation,[status(thm)],[c_16418]) ).

tcf(c_17705,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17634,c_17608,c_17597,c_17507,c_17497,c_17418,c_17383,c_17381,c_17380,c_17378,c_17377,c_17371,c_17354,c_17347,c_17308,c_17287,c_17252,c_17250,c_17247,c_17229,c_17224,c_17215,c_17198,c_17165,c_17145,c_17139,c_17134,c_17093,c_17091,c_17088,c_17059,c_16992,c_16975,c_16971,c_16944,c_16917,c_16866,c_16856,c_16845,c_16826,c_16824,c_16817,c_16806,c_16805,c_16802,c_16791,c_16790,c_16768,c_16756,c_16752,c_16714,c_16710,c_16706,c_16704,c_16701,c_16700,c_16694,c_16691,c_16690,c_16686,c_16685,c_16682,c_16680,c_16658,c_16655,c_16651,c_16648,c_16638,c_16636,c_16628,c_16622,c_16620,c_16613,c_16600,c_16597,c_16456,c_16454,c_16452,c_16448,c_16446,c_16442,c_16439,c_16433,c_16431,c_16427,c_16425,c_16421,c_16419,c_16417,c_16413,c_16407,c_16401,c_16392,c_16380,c_16374,c_16371,c_16368,c_16353,c_16347,c_16344,c_16338,c_16332,c_16329,c_16326,c_16323,c_16311,c_16307,c_16299,c_16295,c_16291,c_16287,c_16283,c_16279,c_16386,c_16377,c_5826,c_5816,c_5806,c_3804,c_3794,c_3784,c_3774,c_3764,c_3754,c_56,c_60,c_64,c_67,c_68,c_75,c_76,c_80,c_83,c_84,c_87,c_88,c_92,c_95,c_96,c_99,c_100,c_104,c_107,c_108,c_116,c_120,c_122,c_123,c_124,c_128,c_132,c_139,c_140,c_54,c_55,c_58,c_59,c_62,c_63,c_66,c_74,c_78,c_79,c_82,c_86,c_90,c_91,c_94,c_98,c_102,c_103,c_106,c_114,c_115,c_118,c_119,c_126,c_127,c_130,c_131,c_138,c_158,c_159,c_160,c_162,c_163,c_164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN484+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37  % Computer : n019.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Fri Sep 25 01:29:42 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.41  Running first-order theorem proving
% 0.13/5.41  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
% 0.13/5.42  
% 0.13/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42  
% 0.13/5.42  % Detected problem language: tptp
% 0.13/5.44  % Proving...
% 3.09/6.19  % SZS status Started for theBenchmark.p
% 3.09/6.19  % SZS status Theorem for theBenchmark.p
% 3.09/6.19  
% 3.09/6.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.09/6.19  
% 3.09/6.19  % ------  iProver source info
% 3.09/6.19  
% 3.09/6.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.09/6.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.09/6.19  % git: non_committed_changes: false
% 3.09/6.19  
% 3.09/6.19  % ------ Parsing...
% 3.09/6.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.09/6.19  % 
% 3.09/6.19  
% 3.09/6.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.09/6.19  
% 3.09/6.19  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.09/6.19   gs_s  sp: 120 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.09/6.19  % ------ Proving...
% 3.09/6.19  % ------ Problem Properties 
% 3.09/6.19  
% 3.09/6.19  % 
% 3.09/6.19  % clauses                               200
% 3.09/6.19  % conjectures                           196
% 3.09/6.19  % EPR                                   200
% 3.09/6.19  % Horn                                  111
% 3.09/6.19  % unary                                 0
% 3.09/6.19  % binary                                95
% 3.09/6.19  % lits                                  537
% 3.09/6.19  % lits eq                               0
% 3.09/6.19  % fd_pure                               0
% 3.09/6.19  % fd_pseudo                             0
% 3.09/6.19  % fd_cond                               0
% 3.09/6.19  % fd_pseudo_cond                        0
% 3.09/6.19  % AC symbols                            0
% 3.09/6.19  
% 3.09/6.19  % ------ Schedule EPR non Horn non eq is on
% 3.09/6.19  
% 3.09/6.19  % ------ no equalities: superposition off 
% 3.09/6.19  
% 3.09/6.19  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.09/6.19  
% 3.09/6.19  
% 3.09/6.19  % ------ 
% 3.09/6.19  % Current options:
% 3.09/6.19  % ------ 
% 3.09/6.19  
% 3.09/6.19  
% 3.09/6.19  % 
% 3.09/6.19  
% 3.09/6.19  % ------ Proving...
% 3.09/6.19  % 
% 3.09/6.19  
% 3.09/6.19  % SZS status Theorem for theBenchmark.p
% 3.09/6.19  
% 3.09/6.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/6.20  
% 4.41/6.20  
%------------------------------------------------------------------------------