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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN469+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n008.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 03:40:23 PM UTC 2026

% Result   : Theorem 3.80s 1.42s
% Output   : CNFRefutation 3.80s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212ERROR: Could not build tree for root c_16471ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp3
        | hskp8 )
      & ( hskp23
        | hskp20
        | hskp18 )
      & ( hskp3
        | hskp7
        | hskp15 )
      & ( hskp21
        | hskp24
        | hskp25 )
      & ( hskp9
        | hskp4
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( hskp11
        | hskp22
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp24
        | hskp19
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp10
        | hskp12
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | c3_1(X103) ) ) )
      & ( hskp5
        | hskp20
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp20
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp5
        | hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp13
        | hskp2
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp28
        | hskp25
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c1_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp16
        | hskp7
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp9
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp23
        | hskp27
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp7
        | hskp2
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp4
        | hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp11
        | hskp2
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp22
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp21
        | hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp3
        | hskp4
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp3
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp19
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp1
        | hskp12
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp9
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp3
        | hskp18
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp17
        | hskp2
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp4
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp11
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp3
        | hskp16
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp9
        | hskp27
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp6
        | hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp1
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c3_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp12
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp9
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp1
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp9
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp3
        | hskp5
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp11
        | hskp0
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp4
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp9
        | hskp8
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp28
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp27
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp4
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp7
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp5
        | hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp3
        | hskp25
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp4
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c1_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c1_1(X3)
              | ~ c0_1(X3)
              | c3_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a414)
          & c2_1(a414)
          & c0_1(a414)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a412)
          & c1_1(a412)
          & c0_1(a412)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a407)
          & c2_1(a407)
          & c1_1(a407)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c3_1(a405)
          & c1_1(a405)
          & c0_1(a405)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a477)
          & ~ c0_1(a477)
          & c3_1(a477)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a460)
          & ~ c2_1(a460)
          & c1_1(a460)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a451)
          & c2_1(a451)
          & c0_1(a451)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a450)
          & ~ c1_1(a450)
          & ~ c0_1(a450)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a449)
          & c3_1(a449)
          & c1_1(a449)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a445)
          & c3_1(a445)
          & c1_1(a445)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a440)
          & ~ c2_1(a440)
          & c0_1(a440)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a439)
          & ~ c2_1(a439)
          & ~ c1_1(a439)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a434)
          & ~ c0_1(a434)
          & c1_1(a434)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a430)
          & c2_1(a430)
          & c0_1(a430)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a428)
          & ~ c0_1(a428)
          & c2_1(a428)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a427)
          & c2_1(a427)
          & c1_1(a427)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a426)
          & c1_1(a426)
          & c0_1(a426)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a420)
          & ~ c1_1(a420)
          & ~ c0_1(a420)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a418)
          & ~ c0_1(a418)
          & c1_1(a418)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a416)
          & ~ c0_1(a416)
          & c3_1(a416)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a415)
          & c3_1(a415)
          & c2_1(a415)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a410)
          & ~ c1_1(a410)
          & c0_1(a410)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a409)
          & ~ c0_1(a409)
          & c2_1(a409)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a408)
          & c3_1(a408)
          & c2_1(a408)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a404)
          & c3_1(a404)
          & c0_1(a404)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a403)
          & ~ c2_1(a403)
          & ~ c0_1(a403)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a402)
          & ~ c1_1(a402)
          & c0_1(a402)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a401)
          & c1_1(a401)
          & c0_1(a401)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a400)
          & c2_1(a400)
          & c1_1(a400)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp3
          | hskp8 )
        & ( hskp23
          | hskp20
          | hskp18 )
        & ( hskp3
          | hskp7
          | hskp15 )
        & ( hskp21
          | hskp24
          | hskp25 )
        & ( hskp9
          | hskp4
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp11
          | hskp22
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp24
          | hskp19
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp10
          | hskp12
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) ) )
        & ( hskp5
          | hskp20
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp20
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp5
          | hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp13
          | hskp2
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp28
          | hskp25
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp16
          | hskp7
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp9
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp23
          | hskp27
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp7
          | hskp2
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp4
          | hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp11
          | hskp2
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp22
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp21
          | hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp3
          | hskp4
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp3
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp19
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp1
          | hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp9
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp3
          | hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp17
          | hskp2
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp11
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp3
          | hskp16
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp27
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp6
          | hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp1
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp9
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp9
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp3
          | hskp5
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp11
          | hskp0
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp4
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp9
          | hskp8
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp28
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp4
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp7
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp5
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp3
          | hskp25
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a414)
            & c2_1(a414)
            & c0_1(a414)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a412)
            & c1_1(a412)
            & c0_1(a412)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a407)
            & c2_1(a407)
            & c1_1(a407)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a405)
            & c1_1(a405)
            & c0_1(a405)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a477)
            & ~ c0_1(a477)
            & c3_1(a477)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a460)
            & ~ c2_1(a460)
            & c1_1(a460)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a451)
            & c2_1(a451)
            & c0_1(a451)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a450)
            & ~ c1_1(a450)
            & ~ c0_1(a450)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a449)
            & c3_1(a449)
            & c1_1(a449)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a445)
            & c3_1(a445)
            & c1_1(a445)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a440)
            & ~ c2_1(a440)
            & c0_1(a440)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a439)
            & ~ c2_1(a439)
            & ~ c1_1(a439)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a434)
            & ~ c0_1(a434)
            & c1_1(a434)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a430)
            & c2_1(a430)
            & c0_1(a430)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a428)
            & ~ c0_1(a428)
            & c2_1(a428)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a427)
            & c2_1(a427)
            & c1_1(a427)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a426)
            & c1_1(a426)
            & c0_1(a426)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a420)
            & ~ c1_1(a420)
            & ~ c0_1(a420)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a418)
            & ~ c0_1(a418)
            & c1_1(a418)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a416)
            & ~ c0_1(a416)
            & c3_1(a416)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a415)
            & c3_1(a415)
            & c2_1(a415)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a410)
            & ~ c1_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a409)
            & ~ c0_1(a409)
            & c2_1(a409)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a408)
            & c3_1(a408)
            & c2_1(a408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a404)
            & c3_1(a404)
            & c0_1(a404)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a403)
            & ~ c2_1(a403)
            & ~ c0_1(a403)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a402)
            & ~ c1_1(a402)
            & c0_1(a402)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a401)
            & c1_1(a401)
            & c0_1(a401)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a400)
            & c2_1(a400)
            & c1_1(a400)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | ~ c0_1(X106) ) ) )
    & ( hskp11
      | hskp22
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | ~ c0_1(X105) ) ) )
    & ( hskp24
      | hskp19
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c1_1(X104)
            | ~ c0_1(X104) ) ) )
    & ( hskp10
      | hskp12
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c3_1(X103) ) ) )
    & ( hskp5
      | hskp20
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c3_1(X102) ) ) )
    & ( hskp20
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) ) )
    & ( hskp5
      | hskp4
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) ) )
    & ( hskp13
      | hskp2
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp28
      | hskp25
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp16
      | hskp7
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp9
      | hskp12
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp23
      | hskp27
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c0_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp7
      | hskp2
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) ) )
    & ( hskp4
      | hskp28
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp20
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c2_1(X92)
            | ~ c0_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp11
      | hskp2
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) ) )
    & ( hskp22
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c1_1(X89)
            | c2_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) ) )
    & ( hskp21
      | hskp20
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp3
      | hskp4
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp3
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c2_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp19
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c3_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp1
      | hskp12
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp9
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp3
      | hskp18
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp17
      | hskp2
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp4
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c2_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp11
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp3
      | hskp16
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp27
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp6
      | hskp15
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp1
      | ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c3_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c2_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp12
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp9
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp1
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp9
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c3_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp3
      | hskp5
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp11
      | hskp0
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp10
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c2_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp4
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp9
      | hskp8
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp28
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp0
      | hskp27
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp4
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c0_1(X29)
            | c3_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c1_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp7
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp6
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c3_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp3
      | hskp25
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c2_1(X17)
            | c1_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp4
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c2_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp3
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c3_1(X8)
            | c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106) ) )
    & ( hskp11
      | hskp22
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c0_1(X105) ) )
    & ( hskp24
      | hskp19
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ c0_1(X104) ) )
    & ( hskp10
      | hskp12
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | c3_1(X103) ) )
    & ( hskp5
      | hskp20
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102) ) )
    & ( hskp20
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) ) )
    & ( hskp5
      | hskp4
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) ) )
    & ( hskp13
      | hskp2
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99) ) )
    & ( hskp28
      | hskp25
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98) ) )
    & ( hskp16
      | hskp7
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp9
      | hskp12
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp23
      | hskp27
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp7
      | hskp2
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp4
      | hskp28
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp20
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c0_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp11
      | hskp2
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( hskp22
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp21
      | hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp3
      | hskp4
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp3
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp19
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp1
      | hskp12
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp9
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( hskp3
      | hskp18
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp17
      | hskp2
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp4
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp11
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp3
      | hskp16
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp9
      | hskp27
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp6
      | hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp1
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c0_1(X56)
          | c3_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp14
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp12
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp9
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp9
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp3
      | hskp5
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp11
      | hskp0
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp10
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp4
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp9
      | hskp8
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp28
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp0
      | hskp27
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp4
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c3_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp7
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c3_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c3_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp3
      | hskp25
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c0_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp4
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c3_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c0_1(X106) ) )
    & ( hskp11
      | hskp22
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c0_1(X105) ) )
    & ( hskp24
      | hskp19
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c1_1(X104)
          | ~ c0_1(X104) ) )
    & ( hskp10
      | hskp12
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | c3_1(X103) ) )
    & ( hskp5
      | hskp20
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | c3_1(X102) ) )
    & ( hskp20
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) ) )
    & ( hskp5
      | hskp4
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) ) )
    & ( hskp13
      | hskp2
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99) ) )
    & ( hskp28
      | hskp25
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98) ) )
    & ( hskp16
      | hskp7
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp9
      | hskp12
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp23
      | hskp27
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp7
      | hskp2
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp4
      | hskp28
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp20
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c0_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp11
      | hskp2
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( hskp22
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp21
      | hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp3
      | hskp4
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp3
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp19
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | c3_1(X82)
          | c1_1(X82) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp1
      | hskp12
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp9
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( hskp3
      | hskp18
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp17
      | hskp2
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp4
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | c2_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp11
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp3
      | hskp16
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp9
      | hskp27
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp6
      | hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp1
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c0_1(X56)
          | c3_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp14
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp12
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp9
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp9
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp3
      | hskp5
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp11
      | hskp0
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp10
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp4
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp9
      | hskp8
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp28
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp0
      | hskp27
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp4
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c3_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp7
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c3_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c3_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp3
      | hskp25
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c0_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp4
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c3_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp3
    | hskp7
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp21
    | hskp24
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X105] :
      ( hskp11
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c2_1(X105)
      | ~ c0_1(X105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X102] :
      ( hskp5
      | hskp20
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c0_1(X102)
      | c3_1(X102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X101] :
      ( hskp20
      | ~ ndr1_0
      | ~ c1_1(X101)
      | ~ c0_1(X101)
      | c3_1(X101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X100] :
      ( hskp5
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X100)
      | ~ c0_1(X100)
      | c3_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X99] :
      ( hskp13
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X99)
      | ~ c1_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X97] :
      ( hskp16
      | hskp7
      | ~ ndr1_0
      | ~ c3_1(X97)
      | ~ c0_1(X97)
      | c2_1(X97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X96] :
      ( hskp9
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X96)
      | ~ c0_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X95] :
      ( hskp23
      | hskp27
      | ~ ndr1_0
      | ~ c1_1(X95)
      | ~ c0_1(X95)
      | c2_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X94] :
      ( hskp7
      | hskp2
      | ~ ndr1_0
      | ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X93] :
      ( hskp4
      | hskp28
      | ~ ndr1_0
      | ~ c1_1(X93)
      | c3_1(X93)
      | c2_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X79] :
      ( hskp1
      | hskp12
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c3_1(X79)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X41] :
      ( hskp11
      | hskp0
      | ~ ndr1_0
      | ~ c3_1(X41)
      | c2_1(X41)
      | c0_1(X41) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X36] :
      ( hskp9
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X36)
      | c2_1(X36)
      | c0_1(X36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X30] :
      ( hskp0
      | hskp27
      | ~ ndr1_0
      | c3_1(X30)
      | c2_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X5] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | c2_1(X5)
      | c1_1(X5)
      | c0_1(X5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c2_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c2_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c1_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c2_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c1_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c2_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c2_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c2_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c2_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a420)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c2_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_51,negated_conjecture,
    ( c2_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a400) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_55,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a401) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a402) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a402) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_62,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a403) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a403) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a403) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a404) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_70,negated_conjecture,
    ( c2_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a408) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a410) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a410) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_82,negated_conjecture,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a415) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_86,negated_conjecture,
    ( c3_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a416) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a416) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_94,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a420) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a420) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a420) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_99,negated_conjecture,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a426) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a427) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a428) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a428) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_111,negated_conjecture,
    ( c2_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a430) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a434) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a434) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_122,negated_conjecture,
    ( c0_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a440) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a440) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a449) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_133,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_139,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a451) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_142,negated_conjecture,
    ( c1_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_149,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_160,negated_conjecture,
    ( c2_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a414)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_167,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_168,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp0
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp23
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp7
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp2
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp5
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_229,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp21 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_230,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp3 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_231,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_266,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_161,c_229,c_149,c_145,c_133]) ).

tcf(c_324,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp0
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_229,c_149,c_145,c_133,c_179]) ).

tcf(c_327,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_229,c_149,c_145,c_133,c_167]) ).

tcf(c_330,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_229,c_149,c_145,c_133,c_223]) ).

tcf(c_331,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_330]) ).

tcf(c_333,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_229,c_149,c_145,c_133,c_216]) ).

tcf(c_336,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_229,c_149,c_145,c_133,c_215]) ).

tcf(c_342,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_229,c_149,c_145,c_133,c_206]) ).

tcf(c_354,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_229,c_149,c_145,c_133,c_185]) ).

tcf(c_357,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_229,c_149,c_145,c_133,c_182]) ).

tcf(c_369,plain,
    ! [X0: $i] :
      ( hskp20
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_331]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_369]) ).

tcf(c_371,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_229,c_149,c_145,c_133,c_222]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_371]) ).

tcf(c_374,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp2
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_229,c_149,c_145,c_133,c_221]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp2
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_374]) ).

tcf(c_380,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp7
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_229,c_149,c_145,c_133,c_219]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp7
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_380]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_229,c_149,c_145,c_133,c_218]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp23
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_229,c_149,c_145,c_133,c_217]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp23
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_407,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_229,c_149,c_145,c_133,c_227]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_407]) ).

tcf(c_413,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_229,c_149,c_145,c_133,c_207]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_415,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_229,c_149,c_145,c_133,c_191]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_229,c_149,c_145,c_133,c_181]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_424]) ).

tcf(c_426,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_229,c_149,c_145,c_133,c_177]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | c1_1(X0)
      | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_229,c_149,c_145,c_133,c_171,c_183]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_436,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_229,c_149,c_145,c_133,c_212]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_436]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_229,c_149,c_145,c_133,c_196]) ).

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

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_229,c_149,c_145,c_133,c_193]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_229,c_149,c_145,c_133,c_192]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_446,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_229,c_149,c_145,c_133,c_188]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_446]) ).

tcf(c_448,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_229,c_149,c_145,c_133,c_184]) ).

tcf(c_449,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_448]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_431]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_229,c_149,c_145,c_133,c_178]) ).

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

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_229,c_149,c_145,c_133,c_214]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_229,c_149,c_145,c_133,c_205]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_229,c_149,c_145,c_133,c_199]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_229,c_149,c_145,c_133,c_209]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_229,c_149,c_145,c_133,c_170]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_229,c_149,c_145,c_133,c_168]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_229,c_149,c_145,c_133,c_175]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_229,c_149,c_145,c_133,c_202]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_229,c_149,c_145,c_133,c_180]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_229,c_149,c_145,c_133,c_172]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_229,c_149,c_145,c_133,c_166]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_229,c_149,c_145,c_133,c_200]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_194,c_266]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_2157,plain,
    ( hskp23
    | hskp20
    | ~ c3_1(a440) ),
    inference(resolution,[status(thm)],[c_231,c_124]) ).

tcf(c_2167,plain,
    ( hskp23
    | hskp20
    | ~ c2_1(a440) ),
    inference(resolution,[status(thm)],[c_231,c_123]) ).

tcf(c_2177,plain,
    ( hskp23
    | hskp20
    | c0_1(a440) ),
    inference(resolution,[status(thm)],[c_231,c_122]) ).

tcf(c_2367,plain,
    ( hskp20
    | hskp18
    | ~ c3_1(a460) ),
    inference(resolution,[status(thm)],[c_231,c_144]) ).

tcf(c_2377,plain,
    ( hskp20
    | hskp18
    | ~ c2_1(a460) ),
    inference(resolution,[status(thm)],[c_231,c_143]) ).

tcf(c_2387,plain,
    ( hskp20
    | hskp18
    | c1_1(a460) ),
    inference(resolution,[status(thm)],[c_231,c_142]) ).

tcf(c_7598,plain,
    ( hskp15
    | hskp7
    | ~ c3_1(a403) ),
    inference(resolution,[status(thm)],[c_230,c_64]) ).

tcf(c_7608,plain,
    ( hskp15
    | hskp7
    | ~ c2_1(a403) ),
    inference(resolution,[status(thm)],[c_230,c_63]) ).

tcf(c_7618,plain,
    ( hskp15
    | hskp7
    | ~ c0_1(a403) ),
    inference(resolution,[status(thm)],[c_230,c_62]) ).

tcf(c_14864,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_483]) ).

tcf(c_14865,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_483]) ).

tcf(c_14866,negated_conjecture,
    ! [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_483]) ).

tcf(c_14867,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_14868,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_481]) ).

tcf(c_14869,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_481]) ).

tcf(c_14870,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_481]) ).

tcf(c_14871,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_14872,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_479]) ).

tcf(c_14873,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_479]) ).

tcf(c_14874,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_479]) ).

tcf(c_14876,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_477]) ).

tcf(c_14877,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_477]) ).

tcf(c_14878,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_14879,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_475]) ).

tcf(c_14880,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_475]) ).

tcf(c_14881,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_475]) ).

tcf(c_14882,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_14883,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_473]) ).

tcf(c_14885,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_471]) ).

tcf(c_14886,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_471]) ).

tcf(c_14889,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_469]) ).

tcf(c_14891,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_467]) ).

tcf(c_14892,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_467]) ).

tcf(c_14894,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_464]) ).

tcf(c_14895,negated_conjecture,
    ( iPr_def_31
    | iPr_def_16
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_14896,negated_conjecture,
    ( iPr_def_22
    | iPr_def_18
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_14897,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_460]) ).

tcf(c_14898,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_460]) ).

tcf(c_14899,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_14901,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_14902,negated_conjecture,
    ( iPr_def_25
    | iPr_def_18
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_14903,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_449]) ).

tcf(c_14904,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_449]) ).

tcf(c_14906,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

tcf(c_14907,negated_conjecture,
    ( iPr_def_35
    | iPr_def_26
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_14908,negated_conjecture,
    ( iPr_def_32
    | iPr_def_12
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

tcf(c_14909,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_441]) ).

tcf(c_14910,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_14912,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

tcf(c_14916,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_451]) ).

tcf(c_14917,negated_conjecture,
    ( iPr_def_38
    | iPr_def_34
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

tcf(c_14919,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_14920,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

tcf(c_14925,negated_conjecture,
    ( iPr_def_30
    | iPr_def_26
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_14926,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_14928,negated_conjecture,
    ( iPr_def_16
    | hskp22
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_408]) ).

tcf(c_14935,negated_conjecture,
    ( iPr_def_15
    | hskp27
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_14936,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_384]) ).

tcf(c_14937,negated_conjecture,
    ( iPr_def_40
    | hskp12
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_14938,negated_conjecture,
    ( iPr_def_40
    | hskp16
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_14940,negated_conjecture,
    ( iPr_def_35
    | hskp13
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

tcf(c_14941,negated_conjecture,
    ( iPr_def_18
    | hskp5
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_14945,negated_conjecture,
    ( iPr_def_23
    | hskp9
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

tcf(c_14946,negated_conjecture,
    ( iPr_def_34
    | hskp11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_354]) ).

tcf(c_14950,negated_conjecture,
    ( iPr_def_32
    | hskp12
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_342]) ).

tcf(c_14952,negated_conjecture,
    ( iPr_def_30
    | hskp28
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_336]) ).

tcf(c_14953,negated_conjecture,
    ( iPr_def_30
    | hskp7
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_333]) ).

tcf(c_14954,negated_conjecture,
    ( iPr_def_17
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_327]) ).

tcf(c_14955,negated_conjecture,
    ( iPr_def_29
    | hskp27
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_324]) ).

tcf(c_14956,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_14867]) ).

tcf(c_14958,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_11
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14865]) ).

tcf(c_14960,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_14871]) ).

tcf(c_14968,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_14878]) ).

tcf(c_14972,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(demodulation,[status(thm)],[c_14882]) ).

tcf(c_14977,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14864]) ).

tcf(c_14992,negated_conjecture,
    ( iPr_def_31
    | iPr_def_16
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_14895]) ).

tcf(c_14995,negated_conjecture,
    ( iPr_def_22
    | iPr_def_18
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_14896]) ).

tcf(c_14998,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14899]) ).

tcf(c_14999,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14898]) ).

tcf(c_15004,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_14901]) ).

tcf(c_15007,negated_conjecture,
    ( iPr_def_25
    | iPr_def_18
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_14902]) ).

tcf(c_15013,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_14906]) ).

tcf(c_15016,negated_conjecture,
    ( iPr_def_35
    | iPr_def_26
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_14907]) ).

tcf(c_15019,negated_conjecture,
    ( iPr_def_32
    | iPr_def_12
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_14908]) ).

tcf(c_15022,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_14910]) ).

tcf(c_15026,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_31
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14894]) ).

tcf(c_15028,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_14912]) ).

tcf(c_15032,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14880]) ).

tcf(c_15037,negated_conjecture,
    ( iPr_def_38
    | iPr_def_34
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_14917]) ).

tcf(c_15038,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_38
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14916]) ).

tcf(c_15043,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14919]) ).

tcf(c_15045,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_25
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14885]) ).

tcf(c_15046,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_14920]) ).

tcf(c_15054,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_14
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14869]) ).

tcf(c_15058,negated_conjecture,
    ( iPr_def_30
    | iPr_def_26
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_14925]) ).

tcf(c_15060,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_26
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14886]) ).

tcf(c_15061,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_14926]) ).

tcf(c_15063,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_28
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14889]) ).

tcf(c_15065,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14868]) ).

tcf(c_15066,negated_conjecture,
    ( iPr_def_16
    | hskp22
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_14928]) ).

tcf(c_15069,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14872]) ).

tcf(c_15071,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14866]) ).

tcf(c_15075,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_36
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14909]) ).

tcf(c_15079,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14876]) ).

tcf(c_15080,negated_conjecture,
    ( iPr_def_15
    | hskp27
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_14935]) ).

tcf(c_15081,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14870]) ).

tcf(c_15082,negated_conjecture,
    ( iPr_def_40
    | hskp12
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14937]) ).

tcf(c_15084,negated_conjecture,
    ( iPr_def_40
    | hskp16
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14938]) ).

tcf(c_15085,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_40
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14936]) ).

tcf(c_15088,negated_conjecture,
    ( iPr_def_35
    | hskp13
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_14940]) ).

tcf(c_15089,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14904]) ).

tcf(c_15090,negated_conjecture,
    ( iPr_def_18
    | hskp5
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_14941]) ).

tcf(c_15091,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_18
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14874]) ).

tcf(c_15097,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_20
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14877]) ).

tcf(c_15098,negated_conjecture,
    ( iPr_def_23
    | hskp9
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_14945]) ).

tcf(c_15099,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_23
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14881]) ).

tcf(c_15100,negated_conjecture,
    ( iPr_def_34
    | hskp11
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14946]) ).

tcf(c_15103,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14903]) ).

tcf(c_15107,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_21
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14879]) ).

tcf(c_15108,negated_conjecture,
    ( iPr_def_32
    | hskp12
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_14950]) ).

tcf(c_15109,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_32
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14897]) ).

tcf(c_15111,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_24
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14883]) ).

tcf(c_15112,negated_conjecture,
    ( iPr_def_30
    | hskp28
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_14952]) ).

tcf(c_15114,negated_conjecture,
    ( iPr_def_30
    | hskp7
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_14953]) ).

tcf(c_15115,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_30
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14892]) ).

tcf(c_15116,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_370]) ).

tcf(c_15117,negated_conjecture,
    ( iPr_def_17
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_14954]) ).

tcf(c_15118,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_14873]) ).

tcf(c_15119,negated_conjecture,
    ( iPr_def_29
    | hskp27
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14955]) ).

tcf(c_15120,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_14891]) ).

tcf(c_15221,plain,
    ( c0_1(a400)
    | c3_1(a400)
    | ~ iPr_def_26
    | ~ c2_1(a400) ),
    inference(instantiation,[status(thm)],[c_15060]) ).

tcf(c_15232,plain,
    ( c3_1(a400)
    | ~ iPr_def_18
    | ~ c0_1(a400)
    | ~ c1_1(a400) ),
    inference(instantiation,[status(thm)],[c_15091]) ).

tcf(c_15240,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a400)
    | ~ c2_1(a400)
    | ~ c1_1(a400) ),
    inference(instantiation,[status(thm)],[c_15065]) ).

tcf(c_15244,plain,
    ( c1_1(a416)
    | ~ iPr_def_10
    | ~ c3_1(a416)
    | ~ c2_1(a416) ),
    inference(instantiation,[status(thm)],[c_14977]) ).

tcf(c_15248,plain,
    ( c3_1(a410)
    | c1_1(a410)
    | ~ iPr_def_28
    | ~ c2_1(a410) ),
    inference(instantiation,[status(thm)],[c_15063]) ).

tcf(c_15250,plain,
    ( c3_1(a428)
    | c1_1(a428)
    | ~ iPr_def_28
    | ~ c2_1(a428) ),
    inference(instantiation,[status(thm)],[c_15063]) ).

tcf(c_15251,plain,
    ( c3_1(a451)
    | c1_1(a451)
    | ~ iPr_def_28
    | ~ c2_1(a451) ),
    inference(instantiation,[status(thm)],[c_15063]) ).

tcf(c_15258,plain,
    ( ~ iPr_def_13
    | ~ c0_1(a412)
    | ~ c2_1(a412)
    | ~ c1_1(a412) ),
    inference(instantiation,[status(thm)],[c_15065]) ).

tcf(c_15263,plain,
    ( c3_1(a401)
    | ~ iPr_def_18
    | ~ c0_1(a401)
    | ~ c1_1(a401) ),
    inference(instantiation,[status(thm)],[c_15091]) ).

tcf(c_15269,plain,
    ( c3_1(a412)
    | ~ iPr_def_18
    | ~ c0_1(a412)
    | ~ c1_1(a412) ),
    inference(instantiation,[status(thm)],[c_15091]) ).

tcf(c_15273,plain,
    ( c0_1(a428)
    | c1_1(a428)
    | ~ iPr_def_20
    | ~ c2_1(a428) ),
    inference(instantiation,[status(thm)],[c_15097]) ).

tcf(c_15276,plain,
    ( c2_1(a416)
    | c1_1(a416)
    | ~ iPr_def_21
    | ~ c3_1(a416) ),
    inference(instantiation,[status(thm)],[c_15107]) ).

tcf(c_15282,plain,
    ( c0_1(a416)
    | c1_1(a416)
    | ~ iPr_def_25
    | ~ c3_1(a416) ),
    inference(instantiation,[status(thm)],[c_15045]) ).

tcf(c_15288,plain,
    ( c1_1(a428)
    | ~ iPr_def_38
    | ~ c2_1(a428) ),
    inference(instantiation,[status(thm)],[c_15038]) ).

tcf(c_15291,plain,
    ( c0_1(a416)
    | ~ iPr_def_22
    | ~ c3_1(a416)
    | ~ c2_1(a416) ),
    inference(instantiation,[status(thm)],[c_15032]) ).

tcf(c_15296,plain,
    ( c0_1(a427)
    | c3_1(a427)
    | ~ iPr_def_26
    | ~ c2_1(a427) ),
    inference(instantiation,[status(thm)],[c_15060]) ).

tcf(c_15305,plain,
    ( c3_1(a401)
    | c2_1(a401)
    | ~ iPr_def_30
    | ~ c1_1(a401) ),
    inference(instantiation,[status(thm)],[c_15115]) ).

tcf(c_15310,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ iPr_def_30
    | ~ c1_1(a460) ),
    inference(instantiation,[status(thm)],[c_15115]) ).

tcf(c_15327,plain,
    ( c2_1(a426)
    | ~ iPr_def_15
    | ~ c0_1(a426)
    | ~ c1_1(a426) ),
    inference(instantiation,[status(thm)],[c_15081]) ).

tcf(c_15331,plain,
    ( c0_1(a427)
    | ~ iPr_def_12
    | ~ c2_1(a427)
    | ~ c1_1(a427) ),
    inference(instantiation,[status(thm)],[c_15071]) ).

tcf(c_15354,plain,
    ( c1_1(a451)
    | ~ iPr_def_31
    | ~ c0_1(a451)
    | ~ c2_1(a451) ),
    inference(instantiation,[status(thm)],[c_15026]) ).

tcf(c_15361,plain,
    ( c0_1(a449)
    | c2_1(a449)
    | ~ iPr_def_23
    | ~ c1_1(a449) ),
    inference(instantiation,[status(thm)],[c_15099]) ).

tcf(c_15362,plain,
    ( c0_1(a460)
    | c2_1(a460)
    | ~ iPr_def_23
    | ~ c1_1(a460) ),
    inference(instantiation,[status(thm)],[c_15099]) ).

tcf(c_15380,plain,
    ( c1_1(a415)
    | ~ iPr_def_38
    | ~ c2_1(a415) ),
    inference(instantiation,[status(thm)],[c_15038]) ).

tcf(c_15384,plain,
    ( ~ iPr_def_16
    | ~ c0_1(a451)
    | ~ c3_1(a451)
    | ~ c2_1(a451) ),
    inference(instantiation,[status(thm)],[c_15069]) ).

tcf(c_15385,plain,
    ( ~ iPr_def_16
    | ~ c0_1(a412)
    | ~ c3_1(a412)
    | ~ c2_1(a412) ),
    inference(instantiation,[status(thm)],[c_15069]) ).

tcf(c_15387,plain,
    ( c3_1(a402)
    | c1_1(a402)
    | ~ iPr_def_32
    | ~ c0_1(a402) ),
    inference(instantiation,[status(thm)],[c_15109]) ).

tcf(c_15389,plain,
    ( c3_1(a410)
    | c1_1(a410)
    | ~ iPr_def_32
    | ~ c0_1(a410) ),
    inference(instantiation,[status(thm)],[c_15109]) ).

tcf(c_15392,plain,
    ( c3_1(a451)
    | c1_1(a451)
    | ~ iPr_def_32
    | ~ c0_1(a451) ),
    inference(instantiation,[status(thm)],[c_15109]) ).

tcf(c_15404,plain,
    ( c0_1(a449)
    | c2_1(a449)
    | ~ iPr_def_34
    | ~ c3_1(a449) ),
    inference(instantiation,[status(thm)],[c_15103]) ).

tcf(c_15476,plain,
    ( c2_1(a402)
    | c1_1(a402)
    | ~ iPr_def_14
    | ~ c0_1(a402) ),
    inference(instantiation,[status(thm)],[c_15054]) ).

tcf(c_15479,plain,
    ( c2_1(a410)
    | c1_1(a410)
    | ~ iPr_def_14
    | ~ c0_1(a410) ),
    inference(instantiation,[status(thm)],[c_15054]) ).

tcf(c_15551,plain,
    ( c0_1(a449)
    | ~ iPr_def_36
    | ~ c3_1(a449)
    | ~ c1_1(a449) ),
    inference(instantiation,[status(thm)],[c_15075]) ).

tcf(c_15557,plain,
    ( c3_1(a460)
    | ~ iPr_def_18
    | ~ c0_1(a460)
    | ~ c1_1(a460) ),
    inference(instantiation,[status(thm)],[c_15091]) ).

tcf(c_15563,plain,
    ( c0_1(a403)
    | c3_1(a403)
    | c2_1(a403)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15120]) ).

tcf(c_15574,plain,
    ( c2_1(a449)
    | ~ iPr_def_15
    | ~ c0_1(a449)
    | ~ c1_1(a449) ),
    inference(instantiation,[status(thm)],[c_15081]) ).

tcf(c_15579,plain,
    ( c2_1(a449)
    | ~ iPr_def_40
    | ~ c0_1(a449)
    | ~ c3_1(a449) ),
    inference(instantiation,[status(thm)],[c_15085]) ).

tcf(c_15585,plain,
    ( c2_1(a449)
    | ~ iPr_def_35
    | ~ c3_1(a449)
    | ~ c1_1(a449) ),
    inference(instantiation,[status(thm)],[c_15089]) ).

tcf(c_15598,plain,
    ( c0_1(a408)
    | ~ iPr_def_22
    | ~ c3_1(a408)
    | ~ c2_1(a408) ),
    inference(instantiation,[status(thm)],[c_15032]) ).

tcf(c_15599,plain,
    ( c0_1(a408)
    | c1_1(a408)
    | ~ iPr_def_25
    | ~ c3_1(a408) ),
    inference(instantiation,[status(thm)],[c_15045]) ).

tcf(c_15604,plain,
    ( ~ iPr_def_33
    | ~ c3_1(a408)
    | ~ c2_1(a408)
    | ~ c1_1(a408) ),
    inference(instantiation,[status(thm)],[c_14999]) ).

tcf(c_15631,plain,
    ( ~ iPr_def_16
    | ~ c0_1(a414)
    | ~ c3_1(a414)
    | ~ c2_1(a414) ),
    inference(instantiation,[status(thm)],[c_15069]) ).

tcf(c_15687,plain,
    ( c0_1(a403)
    | c2_1(a403)
    | c1_1(a403)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_15118]) ).

tcf(c_15689,plain,
    ( c0_1(a420)
    | c2_1(a420)
    | c1_1(a420)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_15118]) ).

tcf(c_15743,plain,
    ( c2_1(a404)
    | ~ iPr_def_40
    | ~ c0_1(a404)
    | ~ c3_1(a404) ),
    inference(instantiation,[status(thm)],[c_15085]) ).

tcf(c_15774,plain,
    ( hskp20
    | c3_1(a401)
    | ~ c0_1(a401)
    | ~ c1_1(a401) ),
    inference(instantiation,[status(thm)],[c_15116]) ).

tcf(c_15776,plain,
    ( hskp20
    | c3_1(a426)
    | ~ c0_1(a426)
    | ~ c1_1(a426) ),
    inference(instantiation,[status(thm)],[c_15116]) ).

tcf(c_15780,plain,
    ( hskp20
    | c3_1(a460)
    | ~ c0_1(a460)
    | ~ c1_1(a460) ),
    inference(instantiation,[status(thm)],[c_15116]) ).

tcf(c_15809,plain,
    ( c3_1(a440)
    | c1_1(a440)
    | ~ iPr_def_32
    | ~ c0_1(a440) ),
    inference(instantiation,[status(thm)],[c_15109]) ).

tcf(c_15819,plain,
    ( c0_1(a434)
    | c3_1(a434)
    | c2_1(a434)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15120]) ).

tcf(c_15825,plain,
    ( c3_1(a434)
    | c2_1(a434)
    | ~ iPr_def_30
    | ~ c1_1(a434) ),
    inference(instantiation,[status(thm)],[c_15115]) ).

tcf(c_15843,plain,
    ( c2_1(a426)
    | ~ iPr_def_35
    | ~ c3_1(a426)
    | ~ c1_1(a426) ),
    inference(instantiation,[status(thm)],[c_15089]) ).

tcf(c_15858,plain,
    ( c0_1(a416)
    | c2_1(a416)
    | c1_1(a416)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_15118]) ).

tcf(c_15934,plain,
    ( c0_1(a434)
    | c3_1(a434)
    | ~ iPr_def_26
    | ~ c2_1(a434) ),
    inference(instantiation,[status(thm)],[c_15060]) ).

tcf(c_15961,plain,
    ( c1_1(a402)
    | ~ iPr_def_19
    | ~ c0_1(a402)
    | ~ c3_1(a402) ),
    inference(instantiation,[status(thm)],[c_15079]) ).

tcf(c_15969,plain,
    ( c1_1(a451)
    | ~ iPr_def_19
    | ~ c0_1(a451)
    | ~ c3_1(a451) ),
    inference(instantiation,[status(thm)],[c_15079]) ).

tcf(c_15976,plain,
    ( c3_1(a440)
    | c2_1(a440)
    | ~ iPr_def_24
    | ~ c0_1(a440) ),
    inference(instantiation,[status(thm)],[c_15111]) ).

tcf(c_16033,plain,
    ( c0_1(a460)
    | c3_1(a460)
    | c2_1(a460)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_15120]) ).

tcf(c_16049,plain,
    ( c3_1(a410)
    | c2_1(a410)
    | ~ iPr_def_24
    | ~ c0_1(a410) ),
    inference(instantiation,[status(thm)],[c_15111]) ).

tcf(c_16057,plain,
    ( c2_1(a402)
    | c1_1(a402)
    | ~ iPr_def_21
    | ~ c3_1(a402) ),
    inference(instantiation,[status(thm)],[c_15107]) ).

tcf(c_16242,plain,
    ( ~ iPr_def_33
    | ~ c3_1(a427)
    | ~ c2_1(a427)
    | ~ c1_1(a427) ),
    inference(instantiation,[status(thm)],[c_14999]) ).

tcf(c_16271,plain,
    ( c3_1(a401)
    | ~ iPr_def_11
    | ~ c0_1(a401)
    | ~ c2_1(a401) ),
    inference(instantiation,[status(thm)],[c_14958]) ).

tcf(c_16276,plain,
    ( c3_1(a430)
    | ~ iPr_def_11
    | ~ c0_1(a430)
    | ~ c2_1(a430) ),
    inference(instantiation,[status(thm)],[c_14958]) ).

tcf(c_16294,plain,
    ( c3_1(a402)
    | c2_1(a402)
    | ~ iPr_def_24
    | ~ c0_1(a402) ),
    inference(instantiation,[status(thm)],[c_15111]) ).

tcf(c_16346,plain,
    ( c3_1(a403)
    | c2_1(a403)
    | ~ iPr_def_30
    | ~ c1_1(a403) ),
    inference(instantiation,[status(thm)],[c_15115]) ).

tcf(c_16379,plain,
    ( c3_1(a440)
    | c2_1(a440)
    | ~ iPr_def_30
    | ~ c1_1(a440) ),
    inference(instantiation,[status(thm)],[c_15115]) ).

tcf(c_16421,plain,
    ( c1_1(a428)
    | ~ iPr_def_10
    | ~ c3_1(a428)
    | ~ c2_1(a428) ),
    inference(instantiation,[status(thm)],[c_14977]) ).

tcf(c_16471,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16421,c_16379,c_16346,c_16294,c_16276,c_16271,c_16242,c_16057,c_16049,c_16033,c_15976,c_15969,c_15961,c_15934,c_15858,c_15843,c_15825,c_15819,c_15809,c_15780,c_15776,c_15774,c_15743,c_15689,c_15687,c_15631,c_15604,c_15598,c_15599,c_15585,c_15579,c_15574,c_15563,c_15557,c_15551,c_15479,c_15476,c_15404,c_15392,c_15389,c_15387,c_15385,c_15384,c_15380,c_15362,c_15361,c_15354,c_15331,c_15327,c_15310,c_15305,c_15296,c_15291,c_15288,c_15282,c_15276,c_15273,c_15269,c_15263,c_15258,c_15251,c_15250,c_15248,c_15244,c_15240,c_15232,c_15221,c_15119,c_15117,c_15114,c_15112,c_15108,c_15100,c_15098,c_15090,c_15088,c_15084,c_15082,c_15080,c_15066,c_15058,c_15046,c_15043,c_15037,c_15028,c_15019,c_15016,c_15013,c_15007,c_15004,c_14998,c_14995,c_14992,c_14972,c_14968,c_14960,c_14956,c_15061,c_15022,c_7618,c_7608,c_7598,c_2387,c_2377,c_2367,c_2177,c_2167,c_2157,c_52,c_56,c_59,c_60,c_62,c_63,c_64,c_68,c_72,c_79,c_80,c_84,c_87,c_88,c_94,c_95,c_96,c_100,c_104,c_107,c_108,c_112,c_115,c_116,c_123,c_124,c_132,c_140,c_143,c_144,c_50,c_51,c_54,c_55,c_58,c_66,c_67,c_70,c_71,c_78,c_82,c_86,c_98,c_99,c_102,c_103,c_106,c_110,c_111,c_114,c_122,c_130,c_131,c_138,c_139,c_142,c_158,c_159,c_160,c_162,c_163,c_164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN469+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.58  % Computer : n008.cluster.edu
% 0.09/0.58  % Model    : x86_64 x86_64
% 0.09/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58  % Memory   : 8046.5625MB
% 0.09/0.58  % OS       : Linux 6.8.0-71-generic
% 0.09/0.58  % CPULimit : 300
% 0.09/0.58  % WCLimit  : 300
% 0.09/0.58  % DateTime : Fri Sep 25 01:22:55 UTC 2026
% 0.09/0.58  % CPUTime  : 
% 0.09/0.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.62  Running first-order theorem proving
% 0.03/0.62  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.63  
% 0.14/0.63  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63  
% 0.14/0.63  % Detected problem language: tptp
% 0.14/0.65  % Proving...
% 3.80/1.42  % SZS status Started for theBenchmark.p
% 3.80/1.42  % SZS status Theorem for theBenchmark.p
% 3.80/1.42  
% 3.80/1.42  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.42  
% 3.80/1.42  % ------  iProver source info
% 3.80/1.42  
% 3.80/1.42  % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.42  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.42  % git: non_committed_changes: false
% 3.80/1.42  
% 3.80/1.42  % ------ Parsing...
% 3.80/1.42  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.80/1.42  % 
% 3.80/1.42  
% 3.80/1.42  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.80/1.42  
% 3.80/1.42  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.80/1.42   gs_s  sp: 103 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.80/1.42  % ------ Proving...
% 3.80/1.42  % ------ Problem Properties 
% 3.80/1.42  
% 3.80/1.42  % 
% 3.80/1.42  % clauses                               184
% 3.80/1.42  % conjectures                           184
% 3.80/1.42  % EPR                                   184
% 3.80/1.42  % Horn                                  103
% 3.80/1.42  % unary                                 0
% 3.80/1.42  % binary                                89
% 3.80/1.42  % lits                                  494
% 3.80/1.42  % lits eq                               0
% 3.80/1.42  % fd_pure                               0
% 3.80/1.42  % fd_pseudo                             0
% 3.80/1.42  % fd_cond                               0
% 3.80/1.42  % fd_pseudo_cond                        0
% 3.80/1.42  % AC symbols                            0
% 3.80/1.42  
% 3.80/1.42  % ------ Schedule EPR non Horn non eq is on
% 3.80/1.42  
% 3.80/1.42  % ------ no equalities: superposition off 
% 3.80/1.42  
% 3.80/1.42  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.80/1.42  
% 3.80/1.42  
% 3.80/1.42  % ------ 
% 3.80/1.42  % Current options:
% 3.80/1.42  % ------ 
% 3.80/1.42  
% 3.80/1.42  
% 3.80/1.42  % 
% 3.80/1.42  
% 3.80/1.42  % ------ Proving...
% 3.80/1.42  % 
% 3.80/1.42  
% 3.80/1.42  % SZS status Theorem for theBenchmark.p
% 3.80/1.42  
% 3.80/1.42  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.43  
% 3.80/1.43  
%------------------------------------------------------------------------------