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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN488+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 : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:30 PM UTC 2026

% Result   : Theorem 2.35s 11.75s
% Output   : CNFRefutation 2.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f221ERROR: Could not build tree for root c_20178ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp9
        | hskp8 )
      & ( hskp25
        | hskp19
        | hskp5 )
      & ( hskp18
        | hskp5
        | hskp3 )
      & ( hskp11
        | hskp8
        | hskp26 )
      & ( hskp19
        | hskp26
        | hskp30 )
      & ( hskp27
        | hskp25
        | hskp31 )
      & ( hskp11
        | hskp15
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c1_1(X111) ) ) )
      & ( hskp0
        | hskp21
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( hskp18
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c2_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp23
        | hskp14
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( hskp24
        | hskp3
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp23
        | hskp6
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp20
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp26
        | hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) ) )
      & ( hskp10
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp30
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp7
        | hskp25
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp25
        | hskp19
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp1
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp1
        | hskp6
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp2
        | hskp30
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp19
        | hskp5
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp24
        | hskp15
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp11
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp12
        | hskp16
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp9
        | hskp0
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp14
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp2
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp3
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | hskp10
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp23
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp1
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp22
        | hskp5
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp21
        | hskp30
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp10
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp15
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp9
        | hskp28
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp21
        | hskp6
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp2
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp20
        | hskp7
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp9
        | hskp1
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp17
        | hskp21
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp7
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp20
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | hskp12
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp19
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c1_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp2
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp18
        | hskp17
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp13
        | hskp16
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp0
        | hskp29
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp15
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp1
        | hskp14
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp1
        | hskp13
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp12
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp11
        | hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | hskp8
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp7
        | hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp29
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp28
        | hskp3
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp2
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | c3_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a2498)
          & c1_1(a2498)
          & c0_1(a2498)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a2450)
          & c1_1(a2450)
          & c0_1(a2450)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2409)
          & c2_1(a2409)
          & c0_1(a2409)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2406)
          & c2_1(a2406)
          & c1_1(a2406)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a2500)
          & ~ c1_1(a2500)
          & ~ c0_1(a2500)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a2484)
          & c1_1(a2484)
          & c0_1(a2484)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2478)
          & ~ c0_1(a2478)
          & c2_1(a2478)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2468)
          & ~ c0_1(a2468)
          & c1_1(a2468)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a2455)
          & c3_1(a2455)
          & c2_1(a2455)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a2453)
          & ~ c1_1(a2453)
          & ~ c0_1(a2453)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a2437)
          & c2_1(a2437)
          & c0_1(a2437)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a2435)
          & ~ c0_1(a2435)
          & c3_1(a2435)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a2432)
          & c3_1(a2432)
          & c1_1(a2432)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2428)
          & ~ c2_1(a2428)
          & ~ c0_1(a2428)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2427)
          & c3_1(a2427)
          & c2_1(a2427)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2425)
          & ~ c2_1(a2425)
          & c0_1(a2425)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2422)
          & c3_1(a2422)
          & c1_1(a2422)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a2420)
          & c2_1(a2420)
          & c1_1(a2420)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a2418)
          & c2_1(a2418)
          & c1_1(a2418)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a2417)
          & ~ c0_1(a2417)
          & c3_1(a2417)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2416)
          & ~ c1_1(a2416)
          & c3_1(a2416)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2414)
          & ~ c1_1(a2414)
          & c0_1(a2414)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2413)
          & ~ c0_1(a2413)
          & c2_1(a2413)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a2412)
          & ~ c0_1(a2412)
          & c1_1(a2412)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2411)
          & ~ c1_1(a2411)
          & c2_1(a2411)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2410)
          & c1_1(a2410)
          & c0_1(a2410)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a2408)
          & c3_1(a2408)
          & c0_1(a2408)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2407)
          & ~ c1_1(a2407)
          & c0_1(a2407)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2405)
          & c2_1(a2405)
          & c0_1(a2405)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2404)
          & ~ c2_1(a2404)
          & ~ c1_1(a2404)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2403)
          & ~ c2_1(a2403)
          & c1_1(a2403)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a2402)
          & c3_1(a2402)
          & c0_1(a2402)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp9
          | hskp8 )
        & ( hskp25
          | hskp19
          | hskp5 )
        & ( hskp18
          | hskp5
          | hskp3 )
        & ( hskp11
          | hskp8
          | hskp26 )
        & ( hskp19
          | hskp26
          | hskp30 )
        & ( hskp27
          | hskp25
          | hskp31 )
        & ( hskp11
          | hskp15
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c1_1(X111) ) ) )
        & ( hskp0
          | hskp21
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( hskp18
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp23
          | hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( hskp24
          | hskp3
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp23
          | hskp6
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp20
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp26
          | hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) ) )
        & ( hskp10
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp30
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp7
          | hskp25
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp25
          | hskp19
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp1
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp1
          | hskp6
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp2
          | hskp30
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp19
          | hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp24
          | hskp15
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp11
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp12
          | hskp16
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp9
          | hskp0
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp14
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp2
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp3
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | hskp10
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp23
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp22
          | hskp5
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp21
          | hskp30
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp15
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp28
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp21
          | hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp2
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp20
          | hskp7
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp9
          | hskp1
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | hskp21
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp20
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp19
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp2
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp18
          | hskp17
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp13
          | hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | hskp29
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp1
          | hskp14
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp1
          | hskp13
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp12
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp11
          | hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp7
          | hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp28
          | hskp3
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp2
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a2498)
            & c1_1(a2498)
            & c0_1(a2498)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2450)
            & c1_1(a2450)
            & c0_1(a2450)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2409)
            & c2_1(a2409)
            & c0_1(a2409)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2406)
            & c2_1(a2406)
            & c1_1(a2406)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2500)
            & ~ c1_1(a2500)
            & ~ c0_1(a2500)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a2484)
            & c1_1(a2484)
            & c0_1(a2484)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2478)
            & ~ c0_1(a2478)
            & c2_1(a2478)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2468)
            & ~ c0_1(a2468)
            & c1_1(a2468)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a2455)
            & c3_1(a2455)
            & c2_1(a2455)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a2453)
            & ~ c1_1(a2453)
            & ~ c0_1(a2453)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a2437)
            & c2_1(a2437)
            & c0_1(a2437)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2435)
            & ~ c0_1(a2435)
            & c3_1(a2435)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a2432)
            & c3_1(a2432)
            & c1_1(a2432)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2428)
            & ~ c2_1(a2428)
            & ~ c0_1(a2428)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2427)
            & c3_1(a2427)
            & c2_1(a2427)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2425)
            & ~ c2_1(a2425)
            & c0_1(a2425)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2422)
            & c3_1(a2422)
            & c1_1(a2422)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2420)
            & c2_1(a2420)
            & c1_1(a2420)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a2418)
            & c2_1(a2418)
            & c1_1(a2418)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a2417)
            & ~ c0_1(a2417)
            & c3_1(a2417)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2416)
            & ~ c1_1(a2416)
            & c3_1(a2416)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2414)
            & ~ c1_1(a2414)
            & c0_1(a2414)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2413)
            & ~ c0_1(a2413)
            & c2_1(a2413)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a2412)
            & ~ c0_1(a2412)
            & c1_1(a2412)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2411)
            & ~ c1_1(a2411)
            & c2_1(a2411)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2410)
            & c1_1(a2410)
            & c0_1(a2410)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a2408)
            & c3_1(a2408)
            & c0_1(a2408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2407)
            & ~ c1_1(a2407)
            & c0_1(a2407)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2405)
            & c2_1(a2405)
            & c0_1(a2405)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2404)
            & ~ c2_1(a2404)
            & ~ c1_1(a2404)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2403)
            & ~ c2_1(a2403)
            & c1_1(a2403)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a2402)
            & c3_1(a2402)
            & c0_1(a2402)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c1_1(X111) ) ) )
    & ( hskp0
      | hskp21
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c2_1(X110)
            | ~ c1_1(X110) ) ) )
    & ( hskp18
      | hskp20
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | ~ c0_1(X109) ) ) )
    & ( hskp23
      | hskp14
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | ~ c0_1(X108) ) ) )
    & ( hskp24
      | hskp3
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c1_1(X107)
            | ~ c0_1(X107) ) ) )
    & ( hskp23
      | hskp6
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c1_1(X106)
            | c3_1(X106) ) ) )
    & ( hskp20
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) ) )
    & ( hskp26
      | hskp6
      | ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c0_1(X103)
            | c3_1(X103) ) ) )
    & ( hskp10
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c1_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c1_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) ) )
    & ( hskp30
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp7
      | hskp25
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp25
      | hskp19
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp1
      | hskp5
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp1
      | hskp6
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp2
      | hskp30
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) ) )
    & ( hskp19
      | hskp5
      | ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp24
      | hskp15
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c2_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp11
      | hskp21
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | c1_1(X91) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c2_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp12
      | hskp16
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c3_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp9
      | hskp0
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | c3_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp14
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp2
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp3
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c1_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp16
      | hskp10
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp23
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp1
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c1_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp22
      | hskp5
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp21
      | hskp30
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp10
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp15
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp28
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp21
      | hskp6
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp2
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp20
      | hskp7
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp9
      | hskp1
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | hskp21
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp7
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp20
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp11
      | hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp19
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp4
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp12
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c1_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp2
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp18
      | hskp17
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp13
      | hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp0
      | hskp29
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp15
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | c2_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp1
      | hskp14
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp1
      | hskp13
      | ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp12
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c1_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c1_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp10
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c1_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp9
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp5
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp4
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp28
      | hskp3
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp2
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | c1_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c1_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c1_1(X111) ) )
    & ( hskp0
      | hskp21
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ c1_1(X110) ) )
    & ( hskp18
      | hskp20
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c2_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp23
      | hskp14
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108) ) )
    & ( hskp24
      | hskp3
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107) ) )
    & ( hskp23
      | hskp6
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | c3_1(X106) ) )
    & ( hskp20
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp26
      | hskp6
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103) ) )
    & ( hskp10
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) ) )
    & ( hskp30
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99) ) )
    & ( hskp7
      | hskp25
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp25
      | hskp19
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp1
      | hskp5
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp1
      | hskp6
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | c3_1(X95)
          | c2_1(X95) ) )
    & ( hskp2
      | hskp30
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp19
      | hskp5
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp24
      | hskp15
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp11
      | hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | c1_1(X91) ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c2_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) ) )
    & ( ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( hskp12
      | hskp16
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | c3_1(X84)
          | c1_1(X84) ) )
    & ( hskp9
      | hskp0
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp14
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp2
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp3
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | hskp10
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp23
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp1
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp22
      | hskp5
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp21
      | hskp30
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp10
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c3_1(X66)
          | c1_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp15
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp9
      | hskp28
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp21
      | hskp6
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp2
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp20
      | hskp7
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp9
      | hskp1
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp17
      | hskp21
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp7
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp20
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | hskp12
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp19
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp4
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp12
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c1_1(X47)
          | ~ c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp2
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( hskp18
      | hskp17
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp13
      | hskp16
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp0
      | hskp29
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp15
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp1
      | hskp14
      | ! [X35] :
          ( ~ ndr1_0
          | c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp1
      | hskp13
      | ! [X34] :
          ( ~ ndr1_0
          | c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c1_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp12
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c1_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp9
      | hskp8
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp29
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp5
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp4
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp28
      | hskp3
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp2
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp9
      | hskp8 )
    & ( hskp25
      | hskp19
      | hskp5 )
    & ( hskp18
      | hskp5
      | hskp3 )
    & ( hskp11
      | hskp8
      | hskp26 )
    & ( hskp19
      | hskp26
      | hskp30 )
    & ( hskp27
      | hskp25
      | hskp31 )
    & ( hskp11
      | hskp15
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c1_1(X111) ) )
    & ( hskp0
      | hskp21
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c2_1(X110)
          | ~ c1_1(X110) ) )
    & ( hskp18
      | hskp20
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c2_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp23
      | hskp14
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108) ) )
    & ( hskp24
      | hskp3
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ c0_1(X107) ) )
    & ( hskp23
      | hskp6
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | c3_1(X106) ) )
    & ( hskp20
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c2_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp26
      | hskp6
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103) ) )
    & ( hskp10
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) ) )
    & ( hskp30
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99) ) )
    & ( hskp7
      | hskp25
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp25
      | hskp19
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp1
      | hskp5
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp1
      | hskp6
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | c3_1(X95)
          | c2_1(X95) ) )
    & ( hskp2
      | hskp30
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp19
      | hskp5
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp24
      | hskp15
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | c1_1(X92) ) )
    & ( hskp11
      | hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | c1_1(X91) ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c2_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) ) )
    & ( ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( hskp12
      | hskp16
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | c3_1(X84)
          | c1_1(X84) ) )
    & ( hskp9
      | hskp0
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp14
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp2
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp3
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | hskp10
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp23
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp1
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp22
      | hskp5
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp21
      | hskp30
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp10
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c3_1(X66)
          | c1_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp15
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp9
      | hskp28
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp21
      | hskp6
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp2
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp20
      | hskp7
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp9
      | hskp1
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp17
      | hskp21
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp7
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp20
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | hskp12
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp19
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp4
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp12
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c1_1(X47)
          | ~ c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp2
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( hskp18
      | hskp17
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp13
      | hskp16
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp0
      | hskp29
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp15
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp1
      | hskp14
      | ! [X35] :
          ( ~ ndr1_0
          | c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp1
      | hskp13
      | ! [X34] :
          ( ~ ndr1_0
          | c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c1_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp12
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c1_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp9
      | hskp8
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp29
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp5
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp4
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp28
      | hskp3
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp2
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c0_1(X8)
          | c3_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a2498)
        & c1_1(a2498)
        & c0_1(a2498)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2450)
        & c1_1(a2450)
        & c0_1(a2450)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2409)
        & c2_1(a2409)
        & c0_1(a2409)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2406)
        & c2_1(a2406)
        & c1_1(a2406)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2500)
        & ~ c1_1(a2500)
        & ~ c0_1(a2500)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a2484)
        & c1_1(a2484)
        & c0_1(a2484)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2478)
        & ~ c0_1(a2478)
        & c2_1(a2478)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2468)
        & ~ c0_1(a2468)
        & c1_1(a2468)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a2455)
        & c3_1(a2455)
        & c2_1(a2455)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a2453)
        & ~ c1_1(a2453)
        & ~ c0_1(a2453)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a2437)
        & c2_1(a2437)
        & c0_1(a2437)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2435)
        & ~ c0_1(a2435)
        & c3_1(a2435)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a2432)
        & c3_1(a2432)
        & c1_1(a2432)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2428)
        & ~ c2_1(a2428)
        & ~ c0_1(a2428)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2427)
        & c3_1(a2427)
        & c2_1(a2427)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2425)
        & ~ c2_1(a2425)
        & c0_1(a2425)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2422)
        & c3_1(a2422)
        & c1_1(a2422)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2420)
        & c2_1(a2420)
        & c1_1(a2420)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a2418)
        & c2_1(a2418)
        & c1_1(a2418)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a2417)
        & ~ c0_1(a2417)
        & c3_1(a2417)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2416)
        & ~ c1_1(a2416)
        & c3_1(a2416)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2414)
        & ~ c1_1(a2414)
        & c0_1(a2414)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2413)
        & ~ c0_1(a2413)
        & c2_1(a2413)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a2412)
        & ~ c0_1(a2412)
        & c1_1(a2412)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2411)
        & ~ c1_1(a2411)
        & c2_1(a2411)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2410)
        & c1_1(a2410)
        & c0_1(a2410)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a2408)
        & c3_1(a2408)
        & c0_1(a2408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2407)
        & ~ c1_1(a2407)
        & c0_1(a2407)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2405)
        & c2_1(a2405)
        & c0_1(a2405)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2404)
        & ~ c2_1(a2404)
        & ~ c1_1(a2404)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2403)
        & ~ c2_1(a2403)
        & c1_1(a2403)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a2402)
        & c3_1(a2402)
        & c0_1(a2402)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp7
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp25
    | hskp19
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp18
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp19
    | hskp26
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp27
    | hskp25
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X111] :
      ( hskp11
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X111)
      | ~ c2_1(X111)
      | ~ c1_1(X111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X109] :
      ( hskp18
      | hskp20
      | ~ ndr1_0
      | ~ c3_1(X109)
      | ~ c2_1(X109)
      | ~ c0_1(X109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X108] :
      ( hskp23
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X108)
      | ~ c1_1(X108)
      | ~ c0_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X106] :
      ( hskp23
      | hskp6
      | ~ ndr1_0
      | ~ c2_1(X106)
      | ~ c1_1(X106)
      | c3_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X94] :
      ( hskp2
      | hskp30
      | ~ ndr1_0
      | ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X93] :
      ( hskp19
      | hskp5
      | ~ ndr1_0
      | ~ c0_1(X93)
      | c3_1(X93)
      | c2_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X92] :
      ( hskp24
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X92)
      | ~ c2_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X84] :
      ( hskp12
      | hskp16
      | ~ ndr1_0
      | ~ c2_1(X84)
      | c3_1(X84)
      | c1_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X73] :
      ( hskp16
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c1_1(X73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X68] :
      ( hskp22
      | hskp5
      | ~ ndr1_0
      | ~ c0_1(X68)
      | c2_1(X68)
      | c1_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X67] :
      ( hskp21
      | hskp30
      | ~ ndr1_0
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X64] :
      ( hskp15
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c2_1(X64)
      | c0_1(X64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X62] :
      ( hskp21
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c0_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X58] :
      ( hskp9
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X52] :
      ( hskp11
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X43] :
      ( hskp18
      | hskp17
      | ~ ndr1_0
      | ~ c1_1(X43)
      | c2_1(X43)
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X42] :
      ( hskp13
      | hskp16
      | ~ ndr1_0
      | ~ c1_1(X42)
      | c2_1(X42)
      | c0_1(X42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X35] :
      ( hskp1
      | hskp14
      | ~ ndr1_0
      | c3_1(X35)
      | c2_1(X35)
      | c0_1(X35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34] :
      ( hskp1
      | hskp13
      | ~ ndr1_0
      | c3_1(X34)
      | c2_1(X34)
      | c0_1(X34) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X30] :
      ( hskp12
      | ~ ndr1_0
      | ~ c3_1(X30)
      | c1_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X22] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | ~ c2_1(X22)
      | c1_1(X22)
      | c0_1(X22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c0_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c0_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c1_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c0_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c3_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c2_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c2_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c1_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c0_1(a2453)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c1_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c0_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c2_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ c0_1(a2428)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c1_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c3_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c2_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c0_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c2_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c1_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c0_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c1_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c3_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c1_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c2_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c2_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c1_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c2_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c3_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c2_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c1_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c2_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ c1_1(a2404)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c3_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c2_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_54,negated_conjecture,
    ( c1_1(a2403)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2403) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a2404) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a2404) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a2405)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a2407)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a2407) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a2408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a2408) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_75,negated_conjecture,
    ( c1_1(a2410)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_78,negated_conjecture,
    ( c2_1(a2411)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a2412)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a2413)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2413) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a2414)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,negated_conjecture,
    ( c3_1(a2416)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_98,negated_conjecture,
    ( c3_1(a2417)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a2418)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_106,negated_conjecture,
    ( c1_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_107,negated_conjecture,
    ( c2_1(a2420)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a2422)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a2425)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2425) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c2_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_119,negated_conjecture,
    ( c3_1(a2427)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_122,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2428) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2428) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2428) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a2432)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2432) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_130,negated_conjecture,
    ( c3_1(a2435)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_135,negated_conjecture,
    ( c2_1(a2437)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_138,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_142,negated_conjecture,
    ( c2_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a2455)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a2468)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a2468) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_149,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_150,negated_conjecture,
    ( c2_1(a2478)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2478) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2478) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_155,negated_conjecture,
    ( c1_1(a2484)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a2409)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_171,negated_conjecture,
    ( c1_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a2450)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp1
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp6
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp21
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp5
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp10
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp5
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp2
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_241,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp6
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_243,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_244,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_246,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_247,negated_conjecture,
    ( hskp31
    | hskp27
    | hskp25 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_248,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp19 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_250,negated_conjecture,
    ( hskp18
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_251,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_252,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_298,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_247,c_173,c_157,c_149]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_247,c_173,c_157,c_149,c_195]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_247,c_173,c_157,c_149,c_194]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_247,c_173,c_157,c_149,c_192]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp2
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_247,c_173,c_157,c_149,c_232]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp5
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_247,c_173,c_157,c_149,c_231]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_247,c_173,c_157,c_149,c_226]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp10
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_247,c_173,c_157,c_149,c_220]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp5
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_247,c_173,c_157,c_149,c_217]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp21
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_247,c_173,c_157,c_149,c_216]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( hskp15
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_247,c_173,c_157,c_149,c_214]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_247,c_173,c_157,c_149,c_200]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp13
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_247,c_173,c_157,c_149,c_199]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_247,c_173,c_157,c_149,c_187]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp6
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_247,c_173,c_157,c_149,c_241]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp6
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_434,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_247,c_173,c_157,c_149,c_230]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_434]) ).

tcf(c_443,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp6
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_247,c_173,c_157,c_149,c_212]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp6
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_449,plain,
    ! [X0: $i] :
      ( hskp9
      | hskp1
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_247,c_173,c_157,c_149,c_209]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp1
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_455,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_247,c_173,c_157,c_149,c_205]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_458,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_247,c_173,c_157,c_149,c_246]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_464,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_247,c_173,c_157,c_149,c_244]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_467,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_247,c_173,c_157,c_149,c_243]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_247,c_173,c_157,c_149,c_219]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_247,c_173,c_157,c_149,c_179]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_247,c_173,c_157,c_149,c_224]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_247,c_173,c_157,c_149,c_223]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_247,c_173,c_157,c_149,c_222]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_247,c_173,c_157,c_149,c_218]) ).

tcf(c_493,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_492]) ).

tcf(c_494,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_247,c_173,c_157,c_149,c_204]) ).

tcf(c_495,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_494]) ).

tcf(c_496,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_247,c_173,c_157,c_149,c_201]) ).

tcf(c_497,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_496]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_247,c_173,c_157,c_149,c_186]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_247,c_173,c_157,c_149,c_185]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_506,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_247,c_173,c_157,c_149,c_184]) ).

tcf(c_507,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_506]) ).

tcf(c_510,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_247,c_173,c_157,c_149,c_237]) ).

tcf(c_511,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c2_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_510]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_247,c_173,c_157,c_149,c_211]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_247,c_173,c_157,c_149,c_206]) ).

tcf(c_518,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_517]) ).

tcf(c_520,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_247,c_173,c_157,c_149,c_202]) ).

tcf(c_521,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_520]) ).

tcf(c_524,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_247,c_173,c_157,c_149,c_240]) ).

tcf(c_525,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_524]) ).

tcf(c_529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_247,c_173,c_157,c_149,c_181]) ).

tcf(c_530,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_529]) ).

tcf(c_531,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_247,c_173,c_157,c_149,c_180]) ).

tcf(c_532,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_531]) ).

tcf(c_533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_247,c_173,c_157,c_149,c_177]) ).

tcf(c_534,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_533]) ).

tcf(c_535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_247,c_173,c_157,c_149,c_196]) ).

tcf(c_536,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_535]) ).

tcf(c_537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_193,c_298]) ).

tcf(c_538,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_537]) ).

tcf(c_539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_247,c_173,c_157,c_149,c_189]) ).

tcf(c_540,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_539]) ).

tcf(c_541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_247,c_173,c_157,c_149,c_228]) ).

tcf(c_542,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_541]) ).

tcf(c_543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_247,c_173,c_157,c_149,c_227]) ).

tcf(c_544,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_543]) ).

tcf(c_545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_247,c_173,c_157,c_149,c_221]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_545]) ).

tcf(c_2634,plain,
    ( hskp9
    | hskp7
    | ~ c2_1(a2412) ),
    inference(resolution,[status(thm)],[c_252,c_84]) ).

tcf(c_2644,plain,
    ( hskp9
    | hskp7
    | ~ c0_1(a2412) ),
    inference(resolution,[status(thm)],[c_252,c_83]) ).

tcf(c_2654,plain,
    ( hskp9
    | hskp7
    | c1_1(a2412) ),
    inference(resolution,[status(thm)],[c_252,c_82]) ).

tcf(c_2808,plain,
    ( hskp30
    | hskp19
    | ~ c3_1(a2484) ),
    inference(resolution,[status(thm)],[c_248,c_156]) ).

tcf(c_2818,plain,
    ( hskp30
    | hskp19
    | c1_1(a2484) ),
    inference(resolution,[status(thm)],[c_248,c_155]) ).

tcf(c_2828,plain,
    ( hskp30
    | hskp19
    | c0_1(a2484) ),
    inference(resolution,[status(thm)],[c_248,c_154]) ).

tcf(c_3126,plain,
    ( hskp5
    | hskp3
    | ~ c3_1(a2428) ),
    inference(resolution,[status(thm)],[c_250,c_124]) ).

tcf(c_3136,plain,
    ( hskp5
    | hskp3
    | ~ c2_1(a2428) ),
    inference(resolution,[status(thm)],[c_250,c_123]) ).

tcf(c_3146,plain,
    ( hskp5
    | hskp3
    | ~ c0_1(a2428) ),
    inference(resolution,[status(thm)],[c_250,c_122]) ).

tcf(c_6413,plain,
    ( hskp25
    | hskp5
    | ~ c0_1(a2432) ),
    inference(resolution,[status(thm)],[c_251,c_128]) ).

tcf(c_6423,plain,
    ( hskp25
    | hskp5
    | c3_1(a2432) ),
    inference(resolution,[status(thm)],[c_251,c_127]) ).

tcf(c_6433,plain,
    ( hskp25
    | hskp5
    | c1_1(a2432) ),
    inference(resolution,[status(thm)],[c_251,c_126]) ).

tcf(c_7073,plain,
    ( hskp9
    | hskp8
    | ~ c3_1(a2411) ),
    inference(resolution,[status(thm)],[c_252,c_80]) ).

tcf(c_7083,plain,
    ( hskp9
    | hskp8
    | ~ c1_1(a2411) ),
    inference(resolution,[status(thm)],[c_252,c_79]) ).

tcf(c_7093,plain,
    ( hskp9
    | hskp8
    | c2_1(a2411) ),
    inference(resolution,[status(thm)],[c_252,c_78]) ).

tcf(c_18227,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_546]) ).

tcf(c_18228,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_546]) ).

tcf(c_18229,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_546]) ).

tcf(c_18231,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_544]) ).

tcf(c_18232,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_544]) ).

tcf(c_18233,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_544]) ).

tcf(c_18234,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_544]) ).

tcf(c_18235,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_542]) ).

tcf(c_18236,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_542]) ).

tcf(c_18237,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_542]) ).

tcf(c_18238,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).

tcf(c_18239,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_540]) ).

tcf(c_18242,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_538]) ).

tcf(c_18243,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_538]) ).

tcf(c_18244,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).

tcf(c_18245,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_536]) ).

tcf(c_18246,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_536]) ).

tcf(c_18247,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_536]) ).

tcf(c_18248,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).

tcf(c_18249,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_534]) ).

tcf(c_18250,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_534]) ).

tcf(c_18251,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

tcf(c_18252,negated_conjecture,
    ( iPr_def_27
    | iPr_def_22
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).

tcf(c_18253,negated_conjecture,
    ( iPr_def_27
    | iPr_def_22
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).

tcf(c_18255,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_525]) ).

tcf(c_18256,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_525]) ).

tcf(c_18257,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_525]) ).

tcf(c_18259,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_521]) ).

tcf(c_18260,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

tcf(c_18261,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_518]) ).

tcf(c_18262,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_18264,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_513]) ).

tcf(c_18265,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

tcf(c_18266,negated_conjecture,
    ( iPr_def_22
    | iPr_def_11
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_18269,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

tcf(c_18270,negated_conjecture,
    ( iPr_def_32
    | iPr_def_26
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_18271,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_502]) ).

tcf(c_18272,negated_conjecture,
    ( iPr_def_34
    | iPr_def_26
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_18274,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

tcf(c_18275,negated_conjecture,
    ( iPr_def_21
    | iPr_def_12
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_495]) ).

tcf(c_18276,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_493]) ).

tcf(c_18277,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

tcf(c_18278,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_490]) ).

tcf(c_18279,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_18280,negated_conjecture,
    ( iPr_def_36
    | iPr_def_23
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_18281,negated_conjecture,
    ( iPr_def_36
    | iPr_def_11
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_18282,negated_conjecture,
    ( iPr_def_27
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_18286,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_18289,negated_conjecture,
    ( iPr_def_16
    | hskp23
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_18290,negated_conjecture,
    ( iPr_def_13
    | hskp20
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_18292,negated_conjecture,
    ( iPr_def_10
    | hskp15
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_18293,negated_conjecture,
    ( iPr_def_21
    | hskp12
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_18295,negated_conjecture,
    ( iPr_def_31
    | hskp9
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_18297,negated_conjecture,
    ( iPr_def_32
    | hskp21
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_18300,negated_conjecture,
    ( iPr_def_17
    | hskp24
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

tcf(c_18305,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_420]) ).

tcf(c_18306,negated_conjecture,
    ( iPr_def_38
    | hskp23
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_18307,negated_conjecture,
    ( iPr_def_26
    | hskp7
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_18311,negated_conjecture,
    ( iPr_def_24
    | hskp16
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_18312,negated_conjecture,
    ( iPr_def_24
    | hskp18
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_18313,negated_conjecture,
    ( iPr_def_25
    | hskp30
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_18314,negated_conjecture,
    ( iPr_def_25
    | hskp22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).

tcf(c_18315,negated_conjecture,
    ( iPr_def_35
    | hskp16
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_18317,negated_conjecture,
    ( iPr_def_36
    | hskp16
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

tcf(c_18318,negated_conjecture,
    ( iPr_def_18
    | hskp19
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

tcf(c_18319,negated_conjecture,
    ( iPr_def_14
    | hskp30
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

tcf(c_18322,negated_conjecture,
    ( iPr_def_19
    | hskp13
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_18323,negated_conjecture,
    ( iPr_def_19
    | hskp14
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_18331,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_18234]) ).

tcf(c_18335,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_18238]) ).

tcf(c_18343,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_18244]) ).

tcf(c_18347,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_18248]) ).

tcf(c_18351,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_18251]) ).

tcf(c_18355,negated_conjecture,
    ( iPr_def_27
    | iPr_def_22
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_18252]) ).

tcf(c_18359,negated_conjecture,
    ( iPr_def_27
    | iPr_def_22
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_18253]) ).

tcf(c_18366,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18257]) ).

tcf(c_18372,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18260]) ).

tcf(c_18375,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18262]) ).

tcf(c_18381,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18265]) ).

tcf(c_18384,negated_conjecture,
    ( iPr_def_22
    | iPr_def_11
    | hskp30 ),
    inference(demodulation,[status(thm)],[c_18266]) ).

tcf(c_18386,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_22
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18243]) ).

tcf(c_18390,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18269]) ).

tcf(c_18393,negated_conjecture,
    ( iPr_def_32
    | iPr_def_26
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18270]) ).

tcf(c_18396,negated_conjecture,
    ( iPr_def_34
    | iPr_def_26
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_18272]) ).

tcf(c_18397,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18271]) ).

tcf(c_18402,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18274]) ).

tcf(c_18403,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_29
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18256]) ).

tcf(c_18404,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18259]) ).

tcf(c_18405,negated_conjecture,
    ( iPr_def_21
    | iPr_def_12
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_18275]) ).

tcf(c_18408,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18277]) ).

tcf(c_18411,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18279]) ).

tcf(c_18412,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18233]) ).

tcf(c_18414,negated_conjecture,
    ( iPr_def_36
    | iPr_def_23
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18280]) ).

tcf(c_18417,negated_conjecture,
    ( iPr_def_36
    | iPr_def_11
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18281]) ).

tcf(c_18420,negated_conjecture,
    ( iPr_def_27
    | iPr_def_17
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18282]) ).

tcf(c_18428,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_12
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18229]) ).

tcf(c_18429,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_18286]) ).

tcf(c_18434,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_18250]) ).

tcf(c_18436,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18255]) ).

tcf(c_18437,negated_conjecture,
    ( iPr_def_16
    | hskp23
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18289]) ).

tcf(c_18438,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18235]) ).

tcf(c_18439,negated_conjecture,
    ( iPr_def_13
    | hskp20
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_18290]) ).

tcf(c_18440,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18231]) ).

tcf(c_18443,negated_conjecture,
    ( iPr_def_10
    | hskp15
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18292]) ).

tcf(c_18444,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18227]) ).

tcf(c_18445,negated_conjecture,
    ( iPr_def_21
    | hskp12
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18293]) ).

tcf(c_18446,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18242]) ).

tcf(c_18449,negated_conjecture,
    ( iPr_def_31
    | hskp9
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18295]) ).

tcf(c_18452,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18261]) ).

tcf(c_18453,negated_conjecture,
    ( iPr_def_32
    | hskp21
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18297]) ).

tcf(c_18456,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18264]) ).

tcf(c_18459,negated_conjecture,
    ( iPr_def_17
    | hskp24
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_18300]) ).

tcf(c_18460,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18236]) ).

tcf(c_18466,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_23
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18245]) ).

tcf(c_18468,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_11
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18228]) ).

tcf(c_18469,negated_conjecture,
    ( iPr_def_38
    | hskp23
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18306]) ).

tcf(c_18470,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_38
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18305]) ).

tcf(c_18471,negated_conjecture,
    ( iPr_def_26
    | hskp7
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18307]) ).

tcf(c_18474,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_26
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18249]) ).

tcf(c_18479,negated_conjecture,
    ( iPr_def_24
    | hskp16
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_18311]) ).

tcf(c_18481,negated_conjecture,
    ( iPr_def_24
    | hskp18
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_18312]) ).

tcf(c_18482,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_24
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18246]) ).

tcf(c_18483,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_399]) ).

tcf(c_18484,negated_conjecture,
    ( iPr_def_25
    | hskp30
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_18313]) ).

tcf(c_18486,negated_conjecture,
    ( iPr_def_25
    | hskp22
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18314]) ).

tcf(c_18487,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_25
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18247]) ).

tcf(c_18488,negated_conjecture,
    ( iPr_def_35
    | hskp16
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_18315]) ).

tcf(c_18489,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18276]) ).

tcf(c_18492,negated_conjecture,
    ( iPr_def_36
    | hskp16
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18317]) ).

tcf(c_18493,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_36
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18278]) ).

tcf(c_18494,negated_conjecture,
    ( iPr_def_18
    | hskp19
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18318]) ).

tcf(c_18495,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_18
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18237]) ).

tcf(c_18496,negated_conjecture,
    ( iPr_def_14
    | hskp30
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18319]) ).

tcf(c_18499,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_14
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18232]) ).

tcf(c_18502,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_368]) ).

tcf(c_18503,negated_conjecture,
    ( iPr_def_19
    | hskp13
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18322]) ).

tcf(c_18505,negated_conjecture,
    ( iPr_def_19
    | hskp14
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18323]) ).

tcf(c_18506,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_18239]) ).

tcf(c_18635,plain,
    ( c3_1(a2414)
    | ~ iPr_def_29
    | ~ c2_1(a2414)
    | ~ c0_1(a2414) ),
    inference(instantiation,[status(thm)],[c_18403]) ).

tcf(c_18636,plain,
    ( c3_1(a2420)
    | ~ iPr_def_29
    | ~ c2_1(a2420)
    | ~ c0_1(a2420) ),
    inference(instantiation,[status(thm)],[c_18403]) ).

tcf(c_18644,plain,
    ( c1_1(a2437)
    | ~ iPr_def_15
    | ~ c2_1(a2437)
    | ~ c0_1(a2437) ),
    inference(instantiation,[status(thm)],[c_18412]) ).

tcf(c_18648,plain,
    ( c1_1(a2409)
    | ~ iPr_def_15
    | ~ c2_1(a2409)
    | ~ c0_1(a2409) ),
    inference(instantiation,[status(thm)],[c_18412]) ).

tcf(c_18650,plain,
    ( ~ iPr_def_28
    | ~ c2_1(a2420)
    | ~ c1_1(a2420)
    | ~ c0_1(a2420) ),
    inference(instantiation,[status(thm)],[c_18436]) ).

tcf(c_18657,plain,
    ( ~ iPr_def_10
    | ~ c2_1(a2432)
    | ~ c1_1(a2432)
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18444]) ).

tcf(c_18662,plain,
    ( c1_1(a2413)
    | ~ iPr_def_17
    | ~ c2_1(a2413)
    | ~ c3_1(a2413) ),
    inference(instantiation,[status(thm)],[c_18460]) ).

tcf(c_18665,plain,
    ( c1_1(a2437)
    | ~ iPr_def_17
    | ~ c2_1(a2437)
    | ~ c3_1(a2437) ),
    inference(instantiation,[status(thm)],[c_18460]) ).

tcf(c_18666,plain,
    ( c1_1(a2455)
    | ~ iPr_def_17
    | ~ c2_1(a2455)
    | ~ c3_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18460]) ).

tcf(c_18669,plain,
    ( c1_1(a2409)
    | ~ iPr_def_17
    | ~ c2_1(a2409)
    | ~ c3_1(a2409) ),
    inference(instantiation,[status(thm)],[c_18460]) ).

tcf(c_18681,plain,
    ( hskp15
    | c0_1(a2455)
    | ~ c2_1(a2455)
    | ~ c3_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18483]) ).

tcf(c_18686,plain,
    ( c2_1(a2414)
    | c3_1(a2414)
    | ~ iPr_def_18
    | ~ c0_1(a2414) ),
    inference(instantiation,[status(thm)],[c_18495]) ).

tcf(c_18690,plain,
    ( c2_1(a2484)
    | c3_1(a2484)
    | ~ iPr_def_18
    | ~ c0_1(a2484) ),
    inference(instantiation,[status(thm)],[c_18495]) ).

tcf(c_18694,plain,
    ( c2_1(a2484)
    | c3_1(a2484)
    | ~ iPr_def_14
    | ~ c1_1(a2484) ),
    inference(instantiation,[status(thm)],[c_18499]) ).

tcf(c_18700,plain,
    ( c2_1(a2428)
    | c3_1(a2428)
    | c0_1(a2428)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_18506]) ).

tcf(c_18703,plain,
    ( c1_1(a2411)
    | c0_1(a2411)
    | ~ iPr_def_26
    | ~ c2_1(a2411) ),
    inference(instantiation,[status(thm)],[c_18474]) ).

tcf(c_18704,plain,
    ( c1_1(a2413)
    | c0_1(a2413)
    | ~ iPr_def_26
    | ~ c2_1(a2413) ),
    inference(instantiation,[status(thm)],[c_18474]) ).

tcf(c_18708,plain,
    ( c1_1(a2478)
    | c0_1(a2478)
    | ~ iPr_def_26
    | ~ c2_1(a2478) ),
    inference(instantiation,[status(thm)],[c_18474]) ).

tcf(c_18712,plain,
    ( c3_1(a2420)
    | ~ iPr_def_38
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(instantiation,[status(thm)],[c_18470]) ).

tcf(c_18714,plain,
    ( c3_1(a2484)
    | ~ iPr_def_38
    | ~ c2_1(a2484)
    | ~ c1_1(a2484) ),
    inference(instantiation,[status(thm)],[c_18470]) ).

tcf(c_18719,plain,
    ( c3_1(a2484)
    | ~ iPr_def_11
    | ~ c1_1(a2484)
    | ~ c0_1(a2484) ),
    inference(instantiation,[status(thm)],[c_18468]) ).

tcf(c_18721,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ iPr_def_36
    | ~ c2_1(a2411) ),
    inference(instantiation,[status(thm)],[c_18493]) ).

tcf(c_18723,plain,
    ( c1_1(a2478)
    | c3_1(a2478)
    | ~ iPr_def_36
    | ~ c2_1(a2478) ),
    inference(instantiation,[status(thm)],[c_18493]) ).

tcf(c_18726,plain,
    ( c2_1(a2425)
    | c3_1(a2425)
    | ~ iPr_def_18
    | ~ c0_1(a2425) ),
    inference(instantiation,[status(thm)],[c_18495]) ).

tcf(c_18728,plain,
    ( c1_1(a2411)
    | c3_1(a2411)
    | ~ iPr_def_12
    | ~ c0_1(a2411) ),
    inference(instantiation,[status(thm)],[c_18428]) ).

tcf(c_18737,plain,
    ( c2_1(a2422)
    | c0_1(a2422)
    | ~ iPr_def_24
    | ~ c1_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18482]) ).

tcf(c_18741,plain,
    ( c2_1(a2422)
    | ~ iPr_def_23
    | ~ c1_1(a2422)
    | ~ c0_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18466]) ).

tcf(c_18750,plain,
    ( c1_1(a2413)
    | c3_1(a2413)
    | ~ iPr_def_36
    | ~ c2_1(a2413) ),
    inference(instantiation,[status(thm)],[c_18493]) ).

tcf(c_18765,plain,
    ( c1_1(a2437)
    | c3_1(a2437)
    | ~ iPr_def_36
    | ~ c2_1(a2437) ),
    inference(instantiation,[status(thm)],[c_18493]) ).

tcf(c_18768,plain,
    ( c3_1(a2437)
    | ~ iPr_def_29
    | ~ c2_1(a2437)
    | ~ c0_1(a2437) ),
    inference(instantiation,[status(thm)],[c_18403]) ).

tcf(c_18806,plain,
    ( c1_1(a2408)
    | ~ iPr_def_34
    | ~ c3_1(a2408)
    | ~ c0_1(a2408) ),
    inference(instantiation,[status(thm)],[c_18397]) ).

tcf(c_18808,plain,
    ( c1_1(a2416)
    | ~ iPr_def_34
    | ~ c3_1(a2416)
    | ~ c0_1(a2416) ),
    inference(instantiation,[status(thm)],[c_18397]) ).

tcf(c_18820,plain,
    ( c2_1(a2416)
    | c0_1(a2416)
    | ~ iPr_def_30
    | ~ c3_1(a2416) ),
    inference(instantiation,[status(thm)],[c_18404]) ).

tcf(c_18821,plain,
    ( c2_1(a2417)
    | c0_1(a2417)
    | ~ iPr_def_30
    | ~ c3_1(a2417) ),
    inference(instantiation,[status(thm)],[c_18404]) ).

tcf(c_18822,plain,
    ( c2_1(a2422)
    | c0_1(a2422)
    | ~ iPr_def_30
    | ~ c3_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18404]) ).

tcf(c_18824,plain,
    ( c2_1(a2432)
    | c0_1(a2432)
    | ~ iPr_def_30
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18404]) ).

tcf(c_18825,plain,
    ( c2_1(a2435)
    | c0_1(a2435)
    | ~ iPr_def_30
    | ~ c3_1(a2435) ),
    inference(instantiation,[status(thm)],[c_18404]) ).

tcf(c_18835,plain,
    ( c2_1(a2435)
    | c1_1(a2435)
    | c0_1(a2435)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_18434]) ).

tcf(c_18842,plain,
    ( c1_1(a2417)
    | ~ iPr_def_17
    | ~ c2_1(a2417)
    | ~ c3_1(a2417) ),
    inference(instantiation,[status(thm)],[c_18460]) ).

tcf(c_18857,plain,
    ( hskp15
    | c0_1(a2432)
    | ~ c2_1(a2432)
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18483]) ).

tcf(c_18863,plain,
    ( c2_1(a2407)
    | c1_1(a2407)
    | ~ iPr_def_25
    | ~ c0_1(a2407) ),
    inference(instantiation,[status(thm)],[c_18487]) ).

tcf(c_18865,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ iPr_def_25
    | ~ c0_1(a2416) ),
    inference(instantiation,[status(thm)],[c_18487]) ).

tcf(c_18873,plain,
    ( c2_1(a2408)
    | c1_1(a2408)
    | ~ iPr_def_35
    | ~ c3_1(a2408) ),
    inference(instantiation,[status(thm)],[c_18489]) ).

tcf(c_18874,plain,
    ( c2_1(a2416)
    | c1_1(a2416)
    | ~ iPr_def_35
    | ~ c3_1(a2416) ),
    inference(instantiation,[status(thm)],[c_18489]) ).

tcf(c_18907,plain,
    ( c0_1(a2413)
    | ~ iPr_def_32
    | ~ c2_1(a2413)
    | ~ c3_1(a2413) ),
    inference(instantiation,[status(thm)],[c_18456]) ).

tcf(c_18908,plain,
    ( c0_1(a2417)
    | ~ iPr_def_32
    | ~ c2_1(a2417)
    | ~ c3_1(a2417) ),
    inference(instantiation,[status(thm)],[c_18456]) ).

tcf(c_18910,plain,
    ( c0_1(a2432)
    | ~ iPr_def_32
    | ~ c2_1(a2432)
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18456]) ).

tcf(c_18923,plain,
    ( c3_1(a2468)
    | ~ iPr_def_38
    | ~ c2_1(a2468)
    | ~ c1_1(a2468) ),
    inference(instantiation,[status(thm)],[c_18470]) ).

tcf(c_18924,plain,
    ( c2_1(a2468)
    | c3_1(a2468)
    | ~ iPr_def_14
    | ~ c1_1(a2468) ),
    inference(instantiation,[status(thm)],[c_18499]) ).

tcf(c_18944,plain,
    ( c2_1(a2412)
    | c3_1(a2412)
    | c0_1(a2412)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_18506]) ).

tcf(c_18951,plain,
    ( c2_1(a2412)
    | c0_1(a2412)
    | ~ iPr_def_24
    | ~ c1_1(a2412) ),
    inference(instantiation,[status(thm)],[c_18482]) ).

tcf(c_18954,plain,
    ( c2_1(a2412)
    | c3_1(a2412)
    | ~ iPr_def_14
    | ~ c1_1(a2412) ),
    inference(instantiation,[status(thm)],[c_18499]) ).

tcf(c_18958,plain,
    ( c2_1(a2404)
    | c3_1(a2404)
    | c0_1(a2404)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_18506]) ).

tcf(c_18959,plain,
    ( c2_1(a2404)
    | c3_1(a2404)
    | ~ iPr_def_18
    | ~ c0_1(a2404) ),
    inference(instantiation,[status(thm)],[c_18495]) ).

tcf(c_18961,plain,
    ( c2_1(a2404)
    | c1_1(a2404)
    | ~ iPr_def_25
    | ~ c0_1(a2404) ),
    inference(instantiation,[status(thm)],[c_18487]) ).

tcf(c_18962,plain,
    ( c2_1(a2404)
    | c1_1(a2404)
    | c0_1(a2404)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_18434]) ).

tcf(c_18963,plain,
    ( c0_1(a2412)
    | ~ iPr_def_31
    | ~ c1_1(a2412)
    | ~ c3_1(a2412) ),
    inference(instantiation,[status(thm)],[c_18452]) ).

tcf(c_18967,plain,
    ( c0_1(a2432)
    | ~ iPr_def_31
    | ~ c1_1(a2432)
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18452]) ).

tcf(c_18982,plain,
    ( c1_1(a2417)
    | c0_1(a2417)
    | ~ iPr_def_26
    | ~ c2_1(a2417) ),
    inference(instantiation,[status(thm)],[c_18474]) ).

tcf(c_19009,plain,
    ( c3_1(a2478)
    | ~ iPr_def_38
    | ~ c2_1(a2478)
    | ~ c1_1(a2478) ),
    inference(instantiation,[status(thm)],[c_18470]) ).

tcf(c_19015,plain,
    ( c2_1(a2410)
    | c3_1(a2410)
    | ~ iPr_def_18
    | ~ c0_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18495]) ).

tcf(c_19021,plain,
    ( c3_1(a2410)
    | ~ iPr_def_11
    | ~ c1_1(a2410)
    | ~ c0_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18468]) ).

tcf(c_19023,plain,
    ( c2_1(a2410)
    | c3_1(a2410)
    | ~ iPr_def_14
    | ~ c1_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18499]) ).

tcf(c_19024,plain,
    ( c2_1(a2410)
    | ~ iPr_def_23
    | ~ c1_1(a2410)
    | ~ c0_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18466]) ).

tcf(c_19036,plain,
    ( c2_1(a2435)
    | c0_1(a2435)
    | ~ iPr_def_24
    | ~ c1_1(a2435) ),
    inference(instantiation,[status(thm)],[c_18482]) ).

tcf(c_19065,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | ~ iPr_def_35
    | ~ c3_1(a2417) ),
    inference(instantiation,[status(thm)],[c_18489]) ).

tcf(c_19067,plain,
    ( c2_1(a2417)
    | c1_1(a2417)
    | c0_1(a2417)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_18434]) ).

tcf(c_19278,plain,
    ( c2_1(a2403)
    | c3_1(a2403)
    | ~ iPr_def_14
    | ~ c1_1(a2403) ),
    inference(instantiation,[status(thm)],[c_18499]) ).

tcf(c_19289,plain,
    ( ~ iPr_def_16
    | ~ c1_1(a2450)
    | ~ c3_1(a2450)
    | ~ c0_1(a2450) ),
    inference(instantiation,[status(thm)],[c_18438]) ).

tcf(c_19302,plain,
    ( c0_1(a2418)
    | ~ iPr_def_21
    | ~ c2_1(a2418)
    | ~ c1_1(a2418) ),
    inference(instantiation,[status(thm)],[c_18446]) ).

tcf(c_19331,plain,
    ( c2_1(a2432)
    | ~ iPr_def_22
    | ~ c1_1(a2432)
    | ~ c3_1(a2432) ),
    inference(instantiation,[status(thm)],[c_18386]) ).

tcf(c_19337,plain,
    ( c0_1(a2455)
    | ~ iPr_def_21
    | ~ c2_1(a2455)
    | ~ c1_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18446]) ).

tcf(c_19339,plain,
    ( c0_1(a2455)
    | ~ iPr_def_31
    | ~ c1_1(a2455)
    | ~ c3_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18452]) ).

tcf(c_19510,plain,
    ( ~ iPr_def_13
    | ~ c2_1(a2427)
    | ~ c3_1(a2427)
    | ~ c0_1(a2427) ),
    inference(instantiation,[status(thm)],[c_18440]) ).

tcf(c_19513,plain,
    ( ~ iPr_def_13
    | ~ c2_1(a2409)
    | ~ c3_1(a2409)
    | ~ c0_1(a2409) ),
    inference(instantiation,[status(thm)],[c_18440]) ).

tcf(c_19554,plain,
    ( c3_1(a2405)
    | ~ iPr_def_29
    | ~ c2_1(a2405)
    | ~ c0_1(a2405) ),
    inference(instantiation,[status(thm)],[c_18403]) ).

tcf(c_19597,plain,
    ( ~ iPr_def_16
    | ~ c1_1(a2408)
    | ~ c3_1(a2408)
    | ~ c0_1(a2408) ),
    inference(instantiation,[status(thm)],[c_18438]) ).

tcf(c_19650,plain,
    ( c2_1(a2453)
    | c1_1(a2453)
    | c0_1(a2453)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_18434]) ).

tcf(c_19800,plain,
    ( c1_1(a2455)
    | c0_1(a2455)
    | ~ iPr_def_26
    | ~ c2_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18474]) ).

tcf(c_19803,plain,
    ( c0_1(a2455)
    | ~ iPr_def_32
    | ~ c2_1(a2455)
    | ~ c3_1(a2455) ),
    inference(instantiation,[status(thm)],[c_18456]) ).

tcf(c_19808,plain,
    ( c2_1(a2422)
    | ~ iPr_def_22
    | ~ c1_1(a2422)
    | ~ c3_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18386]) ).

tcf(c_19811,plain,
    ( ~ iPr_def_16
    | ~ c1_1(a2422)
    | ~ c3_1(a2422)
    | ~ c0_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18438]) ).

tcf(c_19812,plain,
    ( c0_1(a2422)
    | ~ iPr_def_31
    | ~ c1_1(a2422)
    | ~ c3_1(a2422) ),
    inference(instantiation,[status(thm)],[c_18452]) ).

tcf(c_19845,plain,
    ( hskp12
    | c1_1(a2427)
    | c0_1(a2427)
    | ~ c3_1(a2427) ),
    inference(instantiation,[status(thm)],[c_18502]) ).

tcf(c_19877,plain,
    ( ~ iPr_def_16
    | ~ c1_1(a2409)
    | ~ c3_1(a2409)
    | ~ c0_1(a2409) ),
    inference(instantiation,[status(thm)],[c_18438]) ).

tcf(c_19888,plain,
    ( c0_1(a2420)
    | ~ iPr_def_21
    | ~ c2_1(a2420)
    | ~ c1_1(a2420) ),
    inference(instantiation,[status(thm)],[c_18446]) ).

tcf(c_19972,plain,
    ( c2_1(a2410)
    | ~ iPr_def_22
    | ~ c1_1(a2410)
    | ~ c3_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18386]) ).

tcf(c_19975,plain,
    ( ~ iPr_def_16
    | ~ c1_1(a2410)
    | ~ c3_1(a2410)
    | ~ c0_1(a2410) ),
    inference(instantiation,[status(thm)],[c_18438]) ).

tcf(c_20178,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19972,c_19975,c_19888,c_19877,c_19845,c_19808,c_19811,c_19812,c_19800,c_19803,c_19650,c_19597,c_19554,c_19513,c_19510,c_19337,c_19339,c_19331,c_19302,c_19289,c_19278,c_19065,c_19067,c_19036,c_19021,c_19023,c_19024,c_19015,c_19009,c_18982,c_18967,c_18963,c_18958,c_18959,c_18961,c_18962,c_18951,c_18954,c_18944,c_18923,c_18924,c_18910,c_18908,c_18907,c_18874,c_18873,c_18865,c_18863,c_18857,c_18842,c_18835,c_18825,c_18824,c_18822,c_18821,c_18820,c_18808,c_18806,c_18765,c_18768,c_18750,c_18737,c_18741,c_18728,c_18726,c_18723,c_18721,c_18719,c_18714,c_18712,c_18708,c_18704,c_18703,c_18700,c_18694,c_18690,c_18686,c_18681,c_18669,c_18666,c_18665,c_18662,c_18657,c_18650,c_18648,c_18644,c_18636,c_18635,c_18505,c_18503,c_18496,c_18494,c_18492,c_18488,c_18486,c_18484,c_18481,c_18479,c_18471,c_18469,c_18459,c_18453,c_18449,c_18445,c_18443,c_18439,c_18437,c_18429,c_18420,c_18417,c_18414,c_18411,c_18408,c_18405,c_18402,c_18396,c_18393,c_18390,c_18384,c_18381,c_18375,c_18372,c_18366,c_18359,c_18355,c_18351,c_18347,c_18343,c_18335,c_18331,c_7093,c_7083,c_7073,c_6433,c_6423,c_6413,c_3146,c_3136,c_3126,c_2828,c_2818,c_2808,c_2654,c_2644,c_2634,c_55,c_56,c_58,c_59,c_60,c_64,c_67,c_68,c_72,c_76,c_79,c_80,c_83,c_84,c_87,c_88,c_92,c_95,c_96,c_99,c_100,c_104,c_108,c_112,c_115,c_116,c_120,c_122,c_123,c_124,c_128,c_131,c_132,c_136,c_138,c_139,c_140,c_144,c_148,c_151,c_152,c_54,c_62,c_63,c_66,c_70,c_71,c_74,c_75,c_78,c_82,c_86,c_90,c_94,c_98,c_102,c_103,c_106,c_107,c_110,c_111,c_114,c_118,c_119,c_126,c_127,c_130,c_134,c_135,c_142,c_143,c_146,c_150,c_166,c_167,c_168,c_170,c_171,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.39  % Computer : n004.cluster.edu
% 0.11/10.39  % Model    : x86_64 x86_64
% 0.11/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39  % Memory   : 8046.5625MB
% 0.11/10.39  % OS       : Linux 6.8.0-71-generic
% 0.11/10.39  % CPULimit : 300
% 0.11/10.39  % WCLimit  : 300
% 0.11/10.39  % DateTime : Fri Sep 25 01:31:05 UTC 2026
% 0.11/10.39  % CPUTime  : 
% 0.11/10.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.43  Running first-order theorem proving
% 0.15/10.43  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
% 0.15/10.44  
% 0.15/10.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44  
% 0.15/10.44  % Detected problem language: tptp
% 0.15/10.46  % Proving...
% 2.35/11.75  % SZS status Started for theBenchmark.p
% 2.35/11.75  % SZS status Theorem for theBenchmark.p
% 2.35/11.75  
% 2.35/11.75  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.35/11.75  
% 2.35/11.75  % ------  iProver source info
% 2.35/11.75  
% 2.35/11.75  % git: date: 2026-07-19 20:42:38 +0200
% 2.35/11.75  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.35/11.75  % git: non_committed_changes: false
% 2.35/11.75  
% 2.35/11.75  % ------ Parsing...
% 2.35/11.75  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.35/11.75  % 
% 2.35/11.75  
% 2.35/11.75  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.35/11.75  
% 2.35/11.75  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.35/11.75   gs_s  sp: 110 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.35/11.75  % ------ Proving...
% 2.35/11.75  % ------ Problem Properties 
% 2.35/11.75  
% 2.35/11.75  % 
% 2.35/11.75  % clauses                               200
% 2.35/11.75  % conjectures                           197
% 2.35/11.75  % EPR                                   200
% 2.35/11.75  % Horn                                  108
% 2.35/11.75  % unary                                 0
% 2.35/11.75  % binary                                93
% 2.35/11.75  % lits                                  538
% 2.35/11.75  % lits eq                               0
% 2.35/11.75  % fd_pure                               0
% 2.35/11.75  % fd_pseudo                             0
% 2.35/11.75  % fd_cond                               0
% 2.35/11.75  % fd_pseudo_cond                        0
% 2.35/11.75  % AC symbols                            0
% 2.35/11.75  
% 2.35/11.75  % ------ Schedule EPR non Horn non eq is on
% 2.35/11.75  
% 2.35/11.75  % ------ no equalities: superposition off 
% 2.35/11.75  
% 2.35/11.75  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.35/11.75  
% 2.35/11.75  
% 2.35/11.75  % ------ 
% 2.35/11.75  % Current options:
% 2.35/11.75  % ------ 
% 2.35/11.75  
% 2.35/11.75  
% 2.35/11.75  % 
% 2.35/11.75  
% 2.35/11.75  % ------ Proving...
% 2.35/11.75  % 
% 2.35/11.75  
% 2.35/11.75  % SZS status Theorem for theBenchmark.p
% 2.35/11.75  
% 2.35/11.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/11.76  
% 2.35/11.76  
%------------------------------------------------------------------------------