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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN478+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 : n018.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 03:40:26 PM UTC 2026

% Result   : Theorem 4.94s 1.43s
% Output   : CNFRefutation 4.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f237ERROR: Could not build tree for root c_9670ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp23
        | hskp0
        | hskp6 )
      & ( hskp16
        | hskp5
        | hskp18 )
      & ( hskp23
        | hskp1
        | hskp2 )
      & ( hskp18
        | hskp20 )
      & ( hskp12
        | hskp26 )
      & ( hskp20
        | hskp29
        | hskp26 )
      & ( hskp1
        | hskp4
        | hskp14 )
      & ( hskp6
        | hskp20
        | hskp25 )
      & ( hskp7
        | hskp21
        | hskp3 )
      & ( hskp7
        | hskp4
        | hskp3 )
      & ( hskp7
        | hskp1
        | hskp28 )
      & ( hskp14
        | hskp25
        | hskp28 )
      & ( hskp9
        | hskp14
        | hskp19 )
      & ( hskp9
        | hskp2
        | hskp30 )
      & ( hskp18
        | hskp14
        | hskp27 )
      & ( hskp11
        | hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) ) )
      & ( hskp29
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( hskp13
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( hskp17
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c1_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp6
        | hskp9
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) ) )
      & ( hskp12
        | hskp14
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) ) )
      & ( hskp18
        | hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) ) )
      & ( hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp24
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp8
        | hskp14
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp13
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp16
        | hskp14
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp17
        | hskp4
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp27
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp23
        | hskp22
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | hskp22
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp27
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp0
        | hskp12
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp2
        | hskp20
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp1
        | hskp10
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp15
        | hskp19
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp1
        | hskp2
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp7
        | hskp8
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp18
        | hskp29
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp14
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c0_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp17
        | hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp28
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp15
        | hskp14
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c0_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp4
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp12
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp6
        | hskp10
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp8
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp6
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c3_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp7
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c1_1(X15)
              | c2_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp6
        | hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp2
        | hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp27
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c0_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | ~ c1_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1372)
          & c1_1(a1372)
          & c0_1(a1372)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a1338)
          & c2_1(a1338)
          & c1_1(a1338)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1328)
          & c2_1(a1328)
          & c0_1(a1328)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a1307)
          & c1_1(a1307)
          & c0_1(a1307)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a1411)
          & ~ c2_1(a1411)
          & c0_1(a1411)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a1394)
          & c2_1(a1394)
          & c0_1(a1394)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a1370)
          & ~ c1_1(a1370)
          & c2_1(a1370)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1359)
          & ~ c1_1(a1359)
          & ~ c0_1(a1359)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1356)
          & c1_1(a1356)
          & c0_1(a1356)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a1352)
          & ~ c0_1(a1352)
          & c3_1(a1352)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a1348)
          & c2_1(a1348)
          & c1_1(a1348)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a1344)
          & c1_1(a1344)
          & c0_1(a1344)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1339)
          & ~ c0_1(a1339)
          & c1_1(a1339)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1334)
          & c3_1(a1334)
          & c2_1(a1334)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1333)
          & ~ c2_1(a1333)
          & c1_1(a1333)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1331)
          & c2_1(a1331)
          & c1_1(a1331)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1330)
          & ~ c1_1(a1330)
          & c0_1(a1330)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1326)
          & ~ c2_1(a1326)
          & ~ c1_1(a1326)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1325)
          & c3_1(a1325)
          & c1_1(a1325)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1324)
          & c3_1(a1324)
          & c0_1(a1324)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a1321)
          & c3_1(a1321)
          & c0_1(a1321)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a1320)
          & ~ c0_1(a1320)
          & c2_1(a1320)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a1319)
          & ~ c0_1(a1319)
          & c2_1(a1319)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1316)
          & ~ c2_1(a1316)
          & ~ c0_1(a1316)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a1315)
          & ~ c0_1(a1315)
          & c3_1(a1315)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1314)
          & ~ c0_1(a1314)
          & c1_1(a1314)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1312)
          & ~ c1_1(a1312)
          & c0_1(a1312)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a1311)
          & c2_1(a1311)
          & c0_1(a1311)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a1309)
          & c3_1(a1309)
          & c1_1(a1309)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1308)
          & ~ c1_1(a1308)
          & c3_1(a1308)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1306)
          & ~ c1_1(a1306)
          & ~ c0_1(a1306)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp23
          | hskp0
          | hskp6 )
        & ( hskp16
          | hskp5
          | hskp18 )
        & ( hskp23
          | hskp1
          | hskp2 )
        & ( hskp18
          | hskp20 )
        & ( hskp12
          | hskp26 )
        & ( hskp20
          | hskp29
          | hskp26 )
        & ( hskp1
          | hskp4
          | hskp14 )
        & ( hskp6
          | hskp20
          | hskp25 )
        & ( hskp7
          | hskp21
          | hskp3 )
        & ( hskp7
          | hskp4
          | hskp3 )
        & ( hskp7
          | hskp1
          | hskp28 )
        & ( hskp14
          | hskp25
          | hskp28 )
        & ( hskp9
          | hskp14
          | hskp19 )
        & ( hskp9
          | hskp2
          | hskp30 )
        & ( hskp18
          | hskp14
          | hskp27 )
        & ( hskp11
          | hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) ) )
        & ( hskp29
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( hskp13
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( hskp17
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp6
          | hskp9
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) ) )
        & ( hskp12
          | hskp14
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) ) )
        & ( hskp18
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp24
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp8
          | hskp14
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp13
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp16
          | hskp14
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp17
          | hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp27
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp23
          | hskp22
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | hskp22
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp27
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp0
          | hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp2
          | hskp20
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp1
          | hskp10
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp15
          | hskp19
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp1
          | hskp2
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp7
          | hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp18
          | hskp29
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp17
          | hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp28
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | hskp14
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp4
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp12
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp6
          | hskp10
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp6
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c3_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp7
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c1_1(X15)
                | c2_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp6
          | hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp2
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp27
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1372)
            & c1_1(a1372)
            & c0_1(a1372)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a1338)
            & c2_1(a1338)
            & c1_1(a1338)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1328)
            & c2_1(a1328)
            & c0_1(a1328)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a1307)
            & c1_1(a1307)
            & c0_1(a1307)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a1411)
            & ~ c2_1(a1411)
            & c0_1(a1411)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1394)
            & c2_1(a1394)
            & c0_1(a1394)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a1370)
            & ~ c1_1(a1370)
            & c2_1(a1370)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1359)
            & ~ c1_1(a1359)
            & ~ c0_1(a1359)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1356)
            & c1_1(a1356)
            & c0_1(a1356)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a1352)
            & ~ c0_1(a1352)
            & c3_1(a1352)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a1348)
            & c2_1(a1348)
            & c1_1(a1348)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1344)
            & c1_1(a1344)
            & c0_1(a1344)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1339)
            & ~ c0_1(a1339)
            & c1_1(a1339)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1334)
            & c3_1(a1334)
            & c2_1(a1334)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1333)
            & ~ c2_1(a1333)
            & c1_1(a1333)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1331)
            & c2_1(a1331)
            & c1_1(a1331)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1330)
            & ~ c1_1(a1330)
            & c0_1(a1330)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1326)
            & ~ c2_1(a1326)
            & ~ c1_1(a1326)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1325)
            & c3_1(a1325)
            & c1_1(a1325)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1324)
            & c3_1(a1324)
            & c0_1(a1324)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a1321)
            & c3_1(a1321)
            & c0_1(a1321)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1320)
            & ~ c0_1(a1320)
            & c2_1(a1320)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a1319)
            & ~ c0_1(a1319)
            & c2_1(a1319)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1316)
            & ~ c2_1(a1316)
            & ~ c0_1(a1316)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a1315)
            & ~ c0_1(a1315)
            & c3_1(a1315)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1314)
            & ~ c0_1(a1314)
            & c1_1(a1314)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1312)
            & ~ c1_1(a1312)
            & c0_1(a1312)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a1311)
            & c2_1(a1311)
            & c0_1(a1311)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a1309)
            & c3_1(a1309)
            & c1_1(a1309)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1308)
            & ~ c1_1(a1308)
            & c3_1(a1308)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1306)
            & ~ c1_1(a1306)
            & ~ c0_1(a1306)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c1_1(X102) ) ) )
    & ( hskp29
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c1_1(X100)
            | ~ c0_1(X100) ) ) )
    & ( hskp13
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | ~ c1_1(X99)
            | ~ c0_1(X99) ) ) )
    & ( hskp17
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) ) )
    & ( hskp5
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) ) )
    & ( hskp6
      | hskp9
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c3_1(X94) ) ) )
    & ( hskp12
      | hskp14
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c0_1(X93)
            | c3_1(X93) ) ) )
    & ( hskp18
      | hskp30
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) ) )
    & ( hskp11
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c3_1(X90) ) ) )
    & ( hskp24
      | hskp20
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c3_1(X89) ) ) )
    & ( hskp8
      | hskp14
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c0_1(X88)
            | c3_1(X88) ) ) )
    & ( hskp13
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) ) )
    & ( hskp16
      | hskp14
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) ) )
    & ( hskp17
      | hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c2_1(X85) ) ) )
    & ( hskp27
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c3_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) ) )
    & ( hskp23
      | hskp22
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp2
      | hskp22
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp27
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp20
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp0
      | hskp21
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c0_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp0
      | hskp12
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp2
      | hskp20
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp1
      | hskp10
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp15
      | hskp19
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c3_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp1
      | hskp2
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c3_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp7
      | hskp8
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) ) )
    & ( hskp18
      | hskp29
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp14
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c0_1(X62)
            | c3_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp15
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c3_1(X60)
            | c1_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) ) )
    & ( hskp0
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp17
      | hskp16
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp28
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | hskp14
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp4
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp28
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp12
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c0_1(X42) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c3_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp13
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp12
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp11
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp9
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp6
      | hskp10
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp9
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp8
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c0_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp6
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp6
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c3_1(X17)
            | c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | c2_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp7
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c1_1(X15)
            | c2_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp6
      | hskp5
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp2
      | hskp4
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp3
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c3_1(X9)
            | c1_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp1
      | hskp27
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | c2_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c3_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) ) )
    & ( hskp29
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100) ) )
    & ( hskp13
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99) ) )
    & ( hskp17
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp5
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) ) )
    & ( hskp6
      | hskp9
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) ) )
    & ( hskp12
      | hskp14
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) ) )
    & ( hskp18
      | hskp30
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) ) )
    & ( hskp11
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90) ) )
    & ( hskp24
      | hskp20
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) ) )
    & ( hskp8
      | hskp14
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88) ) )
    & ( hskp13
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87) ) )
    & ( hskp16
      | hskp14
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( hskp17
      | hskp4
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85) ) )
    & ( hskp27
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( hskp23
      | hskp22
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp2
      | hskp22
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | c1_1(X81) ) )
    & ( hskp27
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp20
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp0
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76) ) )
    & ( hskp0
      | hskp12
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp2
      | hskp20
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp1
      | hskp10
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp15
      | hskp19
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp1
      | hskp2
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp7
      | hskp8
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp18
      | hskp29
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp14
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | c3_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp17
      | hskp16
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp28
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp15
      | hskp14
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp4
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp28
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp12
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp13
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp12
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp11
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp6
      | hskp10
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp9
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp8
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c0_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp6
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp6
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c3_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( hskp7
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp6
      | hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp2
      | hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp3
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c3_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp27
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | ~ c1_1(X3)
          | c2_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp23
      | hskp0
      | hskp6 )
    & ( hskp16
      | hskp5
      | hskp18 )
    & ( hskp23
      | hskp1
      | hskp2 )
    & ( hskp18
      | hskp20 )
    & ( hskp12
      | hskp26 )
    & ( hskp20
      | hskp29
      | hskp26 )
    & ( hskp1
      | hskp4
      | hskp14 )
    & ( hskp6
      | hskp20
      | hskp25 )
    & ( hskp7
      | hskp21
      | hskp3 )
    & ( hskp7
      | hskp4
      | hskp3 )
    & ( hskp7
      | hskp1
      | hskp28 )
    & ( hskp14
      | hskp25
      | hskp28 )
    & ( hskp9
      | hskp14
      | hskp19 )
    & ( hskp9
      | hskp2
      | hskp30 )
    & ( hskp18
      | hskp14
      | hskp27 )
    & ( hskp11
      | hskp22
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) ) )
    & ( hskp29
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c1_1(X100)
          | ~ c0_1(X100) ) )
    & ( hskp13
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | ~ c0_1(X99) ) )
    & ( hskp17
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp5
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) ) )
    & ( hskp6
      | hskp9
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) ) )
    & ( hskp12
      | hskp14
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) ) )
    & ( hskp18
      | hskp30
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) ) )
    & ( hskp11
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90) ) )
    & ( hskp24
      | hskp20
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) ) )
    & ( hskp8
      | hskp14
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88) ) )
    & ( hskp13
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87) ) )
    & ( hskp16
      | hskp14
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( hskp17
      | hskp4
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85) ) )
    & ( hskp27
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( hskp23
      | hskp22
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp2
      | hskp22
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | c1_1(X81) ) )
    & ( hskp27
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp20
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp0
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76) ) )
    & ( hskp0
      | hskp12
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp2
      | hskp20
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp1
      | hskp10
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp15
      | hskp19
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp1
      | hskp2
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c1_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp7
      | hskp8
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp18
      | hskp29
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp14
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | c3_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c3_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp17
      | hskp16
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp28
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp15
      | hskp14
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp4
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp28
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp12
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp13
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp12
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp11
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp6
      | hskp10
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp9
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp8
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c0_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp6
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp6
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c3_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( hskp7
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | c2_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp6
      | hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp2
      | hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp3
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c3_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp27
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | ~ c1_1(X3)
          | c2_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a1372)
        & c1_1(a1372)
        & c0_1(a1372)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a1338)
        & c2_1(a1338)
        & c1_1(a1338)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a1328)
        & c2_1(a1328)
        & c0_1(a1328)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a1307)
        & c1_1(a1307)
        & c0_1(a1307)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a1411)
        & ~ c2_1(a1411)
        & c0_1(a1411)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1394)
        & c2_1(a1394)
        & c0_1(a1394)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a1370)
        & ~ c1_1(a1370)
        & c2_1(a1370)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1359)
        & ~ c1_1(a1359)
        & ~ c0_1(a1359)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a1356)
        & c1_1(a1356)
        & c0_1(a1356)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a1352)
        & ~ c0_1(a1352)
        & c3_1(a1352)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a1348)
        & c2_1(a1348)
        & c1_1(a1348)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a1344)
        & c1_1(a1344)
        & c0_1(a1344)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1339)
        & ~ c0_1(a1339)
        & c1_1(a1339)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1334)
        & c3_1(a1334)
        & c2_1(a1334)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1333)
        & ~ c2_1(a1333)
        & c1_1(a1333)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a1331)
        & c2_1(a1331)
        & c1_1(a1331)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a1330)
        & ~ c1_1(a1330)
        & c0_1(a1330)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a1326)
        & ~ c2_1(a1326)
        & ~ c1_1(a1326)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1325)
        & c3_1(a1325)
        & c1_1(a1325)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1324)
        & c3_1(a1324)
        & c0_1(a1324)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a1321)
        & c3_1(a1321)
        & c0_1(a1321)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a1320)
        & ~ c0_1(a1320)
        & c2_1(a1320)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a1319)
        & ~ c0_1(a1319)
        & c2_1(a1319)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1316)
        & ~ c2_1(a1316)
        & ~ c0_1(a1316)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a1315)
        & ~ c0_1(a1315)
        & c3_1(a1315)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1314)
        & ~ c0_1(a1314)
        & c1_1(a1314)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1312)
        & ~ c1_1(a1312)
        & c0_1(a1312)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a1311)
        & c2_1(a1311)
        & c0_1(a1311)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a1309)
        & c3_1(a1309)
        & c1_1(a1309)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a1308)
        & ~ c1_1(a1308)
        & c3_1(a1308)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1306)
        & ~ c1_1(a1306)
        & ~ c0_1(a1306)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f9,plain,
    ( hskp18
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp20
    | hskp29
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp1
    | hskp4
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp7
    | hskp21
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp7
    | hskp4
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ( hskp9
    | hskp2
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ( hskp18
    | hskp14
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X102] :
      ( hskp11
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c2_1(X102)
      | ~ c1_1(X102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X99] :
      ( hskp13
      | ~ ndr1_0
      | ~ c2_1(X99)
      | ~ c1_1(X99)
      | ~ c0_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X94] :
      ( hskp6
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X94)
      | ~ c0_1(X94)
      | c3_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X93] :
      ( hskp12
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X93)
      | ~ c0_1(X93)
      | c3_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X88] :
      ( hskp8
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c0_1(X88)
      | c3_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X86] :
      ( hskp16
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X86)
      | c3_1(X86)
      | c2_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X81] :
      ( hskp2
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c2_1(X81)
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X76] :
      ( hskp0
      | hskp21
      | ~ ndr1_0
      | ~ c2_1(X76)
      | ~ c0_1(X76)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X73] :
      ( hskp1
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X73)
      | c3_1(X73)
      | c1_1(X73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X64] :
      ( hskp7
      | hskp8
      | ~ ndr1_0
      | ~ c0_1(X64)
      | c2_1(X64)
      | c1_1(X64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X63] :
      ( hskp18
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c2_1(X63)
      | c1_1(X63) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X56] :
      ( hskp17
      | hskp16
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X53] :
      ( hskp15
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X44] :
      ( hskp28
      | ~ ndr1_0
      | ~ c1_1(X44)
      | c3_1(X44)
      | c0_1(X44) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X13] :
      ( hskp6
      | hskp5
      | ~ ndr1_0
      | ~ c2_1(X13)
      | c1_1(X13)
      | c0_1(X13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c1_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c2_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c2_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c1_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c2_1(a1352)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c0_1(a1352)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c3_1(a1352)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c0_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c2_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c1_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c0_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c2_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c2_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c1_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c2_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ c1_1(a1326)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c0_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c3_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c1_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c1_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a1321)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a1321)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a1321)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c0_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c2_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a1316)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c2_1(a1316)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ c0_1(a1316)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c1_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c0_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c3_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a1314)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c0_1(a1314)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c1_1(a1314)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a1311)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c2_1(a1311)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a1311)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c2_1(a1309)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c3_1(a1309)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c1_1(a1309)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a1308)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c1_1(a1308)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c3_1(a1308)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a1306)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c1_1(a1306)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ c0_1(a1306)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1306) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1306) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1306) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c3_1(a1308)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1308) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1308) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_57,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a1309)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( c3_1(a1309)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1309) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a1311)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a1311)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a1311) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a1312)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1312) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1312) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a1314)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1314) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1314) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_74,negated_conjecture,
    ( c3_1(a1315)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1315) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1315) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_78,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1316) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1316) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1316) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_82,negated_conjecture,
    ( c2_1(a1319)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1319) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1319) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_85,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a1320)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1320) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1320) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a1321)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a1321)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1321) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a1324)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a1324) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a1325)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a1325) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1326) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1326) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1326) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a1330)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1330) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1330) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( c2_1(a1331)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1331) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a1333)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1333) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1333) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_118,negated_conjecture,
    ( c2_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( c3_1(a1334)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1334) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a1339)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1339) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1339) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( c2_1(a1348)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a1348) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_134,negated_conjecture,
    ( c3_1(a1352)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1352) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a1352) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( c1_1(a1356)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1356) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a1411)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1411) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1411) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_160,negated_conjecture,
    ( c2_1(a1307)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a1328)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a1338)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

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

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp16
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp18
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp0
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp2
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp6
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_234,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp14 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_235,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp2 ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_239,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp3 ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_240,negated_conjecture,
    ( hskp21
    | hskp7
    | hskp3 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_242,negated_conjecture,
    ( hskp14
    | hskp4
    | hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_243,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp20 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_244,negated_conjecture,
    ( hskp26
    | hskp12 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_245,negated_conjecture,
    ( hskp20
    | hskp18 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_283,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_235,c_169,c_85,c_57]) ).

tcf(c_345,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_235,c_169,c_85,c_57,c_195]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp14
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_235,c_169,c_85,c_57,c_221]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_235,c_169,c_85,c_57,c_211]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_235,c_169,c_85,c_57,c_206]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp18
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_235,c_169,c_85,c_57,c_205]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_235,c_169,c_85,c_57,c_199]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_235,c_169,c_85,c_57,c_180]) ).

tcf(c_390,plain,
    ! [X0: $i] :
      ( hskp13
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_235,c_169,c_85,c_57,c_231]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_390]) ).

tcf(c_393,plain,
    ! [X0: $i] :
      ( hskp9
      | hskp6
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_235,c_169,c_85,c_57,c_228]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp6
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_393]) ).

tcf(c_396,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_235,c_169,c_85,c_57,c_227]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_405,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_235,c_169,c_85,c_57,c_223]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_405]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp2
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_235,c_169,c_85,c_57,c_217]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp2
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_414,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp0
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_235,c_169,c_85,c_57,c_214]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp0
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_423,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp16
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_235,c_169,c_85,c_57,c_201]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp16
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_426,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_235,c_169,c_85,c_57,c_233]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_235,c_169,c_85,c_57,c_189]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_235,c_169,c_85,c_57,c_185]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_235,c_169,c_85,c_57,c_203]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_235,c_169,c_85,c_57,c_192]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_235,c_169,c_85,c_57,c_188]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_235,c_169,c_85,c_57,c_184]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_235,c_169,c_85,c_57,c_183]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_235,c_169,c_85,c_57,c_219]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_454,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_235,c_169,c_85,c_57,c_215]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_454]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_235,c_169,c_85,c_57,c_204]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_458,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_235,c_169,c_85,c_57,c_196]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_235,c_169,c_85,c_57,c_181]) ).

tcf(c_461,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_460]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_235,c_169,c_85,c_57,c_216]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_464,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_235,c_169,c_85,c_57,c_202]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_235,c_169,c_85,c_57,c_200]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_235,c_169,c_85,c_57,c_194]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_235,c_169,c_85,c_57,c_229]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_235,c_169,c_85,c_57,c_225]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_235,c_169,c_85,c_57,c_232]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_230,c_283]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_235,c_169,c_85,c_57,c_177]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_235,c_169,c_85,c_57,c_193]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_235,c_169,c_85,c_57,c_187]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_235,c_169,c_85,c_57,c_207]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_235,c_169,c_85,c_57,c_174]) ).

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

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_235,c_169,c_85,c_57,c_208]) ).

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

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_235,c_169,c_85,c_57,c_197]) ).

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

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_235,c_169,c_85,c_57,c_191]) ).

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

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_235,c_169,c_85,c_57,c_198]) ).

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

tcf(c_1801,plain,
    ( hskp12
    | ~ c3_1(a1411) ),
    inference(resolution,[status(thm)],[c_244,c_156]) ).

tcf(c_1808,plain,
    ( hskp12
    | ~ c2_1(a1411) ),
    inference(resolution,[status(thm)],[c_244,c_155]) ).

tcf(c_1815,plain,
    ( hskp12
    | c0_1(a1411) ),
    inference(resolution,[status(thm)],[c_244,c_154]) ).

tcf(c_1822,plain,
    ( hskp29
    | hskp20
    | ~ c3_1(a1411) ),
    inference(resolution,[status(thm)],[c_243,c_156]) ).

tcf(c_1842,plain,
    ( hskp29
    | hskp20
    | c0_1(a1411) ),
    inference(resolution,[status(thm)],[c_243,c_154]) ).

tcf(c_2101,plain,
    ( hskp7
    | hskp3
    | ~ c2_1(a1352) ),
    inference(resolution,[status(thm)],[c_240,c_136]) ).

tcf(c_2111,plain,
    ( hskp7
    | hskp3
    | ~ c0_1(a1352) ),
    inference(resolution,[status(thm)],[c_240,c_135]) ).

tcf(c_2121,plain,
    ( hskp7
    | hskp3
    | c3_1(a1352) ),
    inference(resolution,[status(thm)],[c_240,c_134]) ).

tcf(c_2632,plain,
    ( hskp7
    | hskp4
    | ~ c1_1(a1311) ),
    inference(resolution,[status(thm)],[c_239,c_64]) ).

tcf(c_2642,plain,
    ( hskp7
    | hskp4
    | c2_1(a1311) ),
    inference(resolution,[status(thm)],[c_239,c_63]) ).

tcf(c_2652,plain,
    ( hskp7
    | hskp4
    | c0_1(a1311) ),
    inference(resolution,[status(thm)],[c_239,c_62]) ).

tcf(c_4678,plain,
    ( hskp20
    | ~ c2_1(a1339) ),
    inference(resolution,[status(thm)],[c_245,c_124]) ).

tcf(c_4685,plain,
    ( hskp20
    | ~ c0_1(a1339) ),
    inference(resolution,[status(thm)],[c_245,c_123]) ).

tcf(c_4692,plain,
    ( hskp20
    | c1_1(a1339) ),
    inference(resolution,[status(thm)],[c_245,c_122]) ).

tcf(c_4699,plain,
    ( hskp27
    | hskp14
    | ~ c2_1(a1339) ),
    inference(resolution,[status(thm)],[c_234,c_124]) ).

tcf(c_4709,plain,
    ( hskp27
    | hskp14
    | ~ c0_1(a1339) ),
    inference(resolution,[status(thm)],[c_234,c_123]) ).

tcf(c_4719,plain,
    ( hskp27
    | hskp14
    | c1_1(a1339) ),
    inference(resolution,[status(thm)],[c_234,c_122]) ).

tcf(c_5479,plain,
    ( hskp18
    | hskp14
    | c2_1(a1307) ),
    inference(resolution,[status(thm)],[c_234,c_160]) ).

tcf(c_5489,plain,
    ( hskp18
    | hskp14
    | c1_1(a1307) ),
    inference(resolution,[status(thm)],[c_234,c_159]) ).

tcf(c_5753,plain,
    ( hskp14
    | hskp1
    | ~ c1_1(a1312) ),
    inference(resolution,[status(thm)],[c_242,c_67]) ).

tcf(c_5763,plain,
    ( hskp14
    | hskp1
    | c0_1(a1312) ),
    inference(resolution,[status(thm)],[c_242,c_66]) ).

tcf(c_9003,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_500]) ).

tcf(c_9004,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_500]) ).

tcf(c_9005,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_500]) ).

tcf(c_9006,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

tcf(c_9007,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_498]) ).

tcf(c_9008,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_498]) ).

tcf(c_9009,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_498]) ).

tcf(c_9010,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_9011,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_496]) ).

tcf(c_9012,negated_conjecture,
    ( iPr_def_16
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_9013,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_494]) ).

tcf(c_9014,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_494]) ).

tcf(c_9015,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_494]) ).

tcf(c_9016,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_9017,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_492]) ).

tcf(c_9020,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_490]) ).

tcf(c_9022,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_488]) ).

tcf(c_9023,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_488]) ).

tcf(c_9024,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_9025,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_486]) ).

tcf(c_9026,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_486]) ).

tcf(c_9027,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_9028,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_483]) ).

tcf(c_9029,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_483]) ).

tcf(c_9030,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_483]) ).

tcf(c_9031,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_9032,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_480]) ).

tcf(c_9033,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_480]) ).

tcf(c_9034,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_9035,negated_conjecture,
    ( iPr_def_30
    | iPr_def_12
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_9036,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_475]) ).

tcf(c_9038,negated_conjecture,
    ( iPr_def_18
    | iPr_def_12
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_9040,negated_conjecture,
    ( iPr_def_31
    | iPr_def_25
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_9041,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_467]) ).

tcf(c_9042,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_467]) ).

tcf(c_9044,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_465]) ).

tcf(c_9045,negated_conjecture,
    ( iPr_def_35
    | iPr_def_10
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_9046,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_463]) ).

tcf(c_9047,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_9048,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_461]) ).

tcf(c_9049,negated_conjecture,
    ( iPr_def_37
    | iPr_def_20
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

tcf(c_9050,negated_conjecture,
    ( iPr_def_13
    | iPr_def_11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_9051,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_457]) ).

tcf(c_9052,negated_conjecture,
    ( iPr_def_38
    | iPr_def_32
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_9053,negated_conjecture,
    ( iPr_def_23
    | iPr_def_15
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

tcf(c_9054,negated_conjecture,
    ( iPr_def_22
    | iPr_def_19
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_9056,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_448]) ).

tcf(c_9058,negated_conjecture,
    ( iPr_def_39
    | iPr_def_10
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_9059,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

tcf(c_9060,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_441]) ).

tcf(c_9061,negated_conjecture,
    ( iPr_def_40
    | iPr_def_14
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_9062,negated_conjecture,
    ( iPr_def_40
    | iPr_def_38
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_9065,negated_conjecture,
    ( iPr_def_39
    | iPr_def_22
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_9066,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_9067,negated_conjecture,
    ( iPr_def_30
    | hskp22
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_9068,negated_conjecture,
    ( iPr_def_33
    | hskp17
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_9071,negated_conjecture,
    ( iPr_def_16
    | hskp21
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_9072,negated_conjecture,
    ( iPr_def_36
    | hskp22
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_9074,negated_conjecture,
    ( iPr_def_19
    | hskp14
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

tcf(c_9077,negated_conjecture,
    ( iPr_def_32
    | hskp14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_9078,negated_conjecture,
    ( iPr_def_32
    | hskp9
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

tcf(c_9080,negated_conjecture,
    ( iPr_def_29
    | hskp6
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_9081,negated_conjecture,
    ( iPr_def_11
    | hskp15
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_9082,negated_conjecture,
    ( iPr_def_38
    | hskp29
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

tcf(c_9083,negated_conjecture,
    ( iPr_def_38
    | hskp8
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

tcf(c_9086,negated_conjecture,
    ( iPr_def_27
    | hskp10
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_9088,negated_conjecture,
    ( iPr_def_23
    | hskp16
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_9094,plain,
    ( c3_1(a1306)
    | c2_1(a1306)
    | c1_1(a1306)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_9026]) ).

tcf(c_9096,plain,
    ( c3_1(a1306)
    | c2_1(a1306)
    | c0_1(a1306)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9098,plain,
    ( c2_1(a1306)
    | c0_1(a1306)
    | ~ iPr_def_14
    | ~ c3_1(a1306) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

tcf(c_9106,plain,
    ( c1_1(a1306)
    | c0_1(a1306)
    | ~ iPr_def_37
    | ~ c3_1(a1306) ),
    inference(instantiation,[status(thm)],[c_9048]) ).

tcf(c_9129,plain,
    ( c2_1(a1309)
    | ~ iPr_def_20
    | ~ c3_1(a1309)
    | ~ c1_1(a1309) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

tcf(c_9134,plain,
    ( c2_1(a1309)
    | c0_1(a1309)
    | ~ iPr_def_14
    | ~ c3_1(a1309) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

tcf(c_9139,plain,
    ( c3_1(a1311)
    | ~ iPr_def_32
    | ~ c2_1(a1311)
    | ~ c0_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9142,plain,
    ( c3_1(a1311)
    | ~ iPr_def_19
    | ~ c1_1(a1311)
    | ~ c0_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9143,plain,
    ( c1_1(a1311)
    | ~ iPr_def_16
    | ~ c2_1(a1311)
    | ~ c0_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9011]) ).

tcf(c_9144,plain,
    ( c1_1(a1311)
    | ~ iPr_def_15
    | ~ c3_1(a1311)
    | ~ c0_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

tcf(c_9145,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a1311)
    | ~ c1_1(a1311)
    | ~ c0_1(a1311) ),
    inference(instantiation,[status(thm)],[c_9005]) ).

tcf(c_9152,plain,
    ( c3_1(a1312)
    | c1_1(a1312)
    | ~ iPr_def_40
    | ~ c0_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

tcf(c_9153,plain,
    ( c2_1(a1312)
    | c1_1(a1312)
    | ~ iPr_def_38
    | ~ c0_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

tcf(c_9156,plain,
    ( c3_1(a1312)
    | ~ iPr_def_32
    | ~ c2_1(a1312)
    | ~ c0_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9158,plain,
    ( c3_1(a1312)
    | c2_1(a1312)
    | ~ iPr_def_22
    | ~ c0_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9020]) ).

tcf(c_9160,plain,
    ( c1_1(a1312)
    | ~ iPr_def_16
    | ~ c2_1(a1312)
    | ~ c0_1(a1312) ),
    inference(instantiation,[status(thm)],[c_9011]) ).

tcf(c_9163,plain,
    ( c0_1(a1314)
    | ~ iPr_def_33
    | ~ c2_1(a1314)
    | ~ c1_1(a1314) ),
    inference(instantiation,[status(thm)],[c_9041]) ).

tcf(c_9165,plain,
    ( c3_1(a1314)
    | c0_1(a1314)
    | ~ iPr_def_25
    | ~ c1_1(a1314) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9167,plain,
    ( c3_1(a1314)
    | c2_1(a1314)
    | ~ iPr_def_23
    | ~ c1_1(a1314) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

tcf(c_9171,plain,
    ( c1_1(a1315)
    | c0_1(a1315)
    | ~ iPr_def_37
    | ~ c3_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9048]) ).

tcf(c_9172,plain,
    ( c2_1(a1315)
    | c1_1(a1315)
    | ~ iPr_def_17
    | ~ c3_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9013]) ).

tcf(c_9174,plain,
    ( c1_1(a1320)
    | ~ iPr_def_36
    | ~ c3_1(a1320)
    | ~ c2_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9046]) ).

tcf(c_9175,plain,
    ( c1_1(a1320)
    | c0_1(a1320)
    | ~ iPr_def_29
    | ~ c2_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9030]) ).

tcf(c_9176,plain,
    ( c3_1(a1320)
    | c1_1(a1320)
    | ~ iPr_def_27
    | ~ c2_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9028]) ).

tcf(c_9178,plain,
    ( c0_1(a1320)
    | ~ iPr_def_10
    | ~ c3_1(a1320)
    | ~ c2_1(a1320) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

tcf(c_9190,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a1321)
    | ~ c1_1(a1321)
    | ~ c0_1(a1321) ),
    inference(instantiation,[status(thm)],[c_9005]) ).

tcf(c_9192,plain,
    ( c2_1(a1321)
    | c1_1(a1321)
    | ~ iPr_def_17
    | ~ c3_1(a1321) ),
    inference(instantiation,[status(thm)],[c_9013]) ).

tcf(c_9196,plain,
    ( c2_1(a1309)
    | ~ iPr_def_35
    | ~ c1_1(a1309)
    | ~ c0_1(a1309) ),
    inference(instantiation,[status(thm)],[c_9044]) ).

tcf(c_9204,plain,
    ( ~ iPr_def_30
    | ~ c3_1(a1325)
    | ~ c2_1(a1325)
    | ~ c1_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9032]) ).

tcf(c_9208,plain,
    ( c2_1(a1325)
    | ~ iPr_def_20
    | ~ c3_1(a1325)
    | ~ c1_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9017]) ).

tcf(c_9210,plain,
    ( c0_1(a1325)
    | ~ iPr_def_13
    | ~ c3_1(a1325)
    | ~ c1_1(a1325) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

tcf(c_9215,plain,
    ( c3_1(a1331)
    | ~ iPr_def_19
    | ~ c1_1(a1331)
    | ~ c0_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9218,plain,
    ( c3_1(a1331)
    | c0_1(a1331)
    | ~ iPr_def_25
    | ~ c1_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9222,plain,
    ( c3_1(a1331)
    | ~ iPr_def_18
    | ~ c2_1(a1331)
    | ~ c1_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9014]) ).

tcf(c_9227,plain,
    ( c3_1(a1331)
    | c0_1(a1331)
    | ~ iPr_def_11
    | ~ c2_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

tcf(c_9229,plain,
    ( hskp13
    | ~ c2_1(a1331)
    | ~ c1_1(a1331)
    | ~ c0_1(a1331) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9234,plain,
    ( c0_1(a1334)
    | ~ iPr_def_10
    | ~ c3_1(a1334)
    | ~ c2_1(a1334) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

tcf(c_9236,plain,
    ( c1_1(a1334)
    | c0_1(a1334)
    | ~ iPr_def_37
    | ~ c3_1(a1334) ),
    inference(instantiation,[status(thm)],[c_9048]) ).

tcf(c_9241,plain,
    ( c3_1(a1316)
    | c2_1(a1316)
    | ~ iPr_def_23
    | ~ c1_1(a1316) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

tcf(c_9250,plain,
    ( c2_1(a1330)
    | c1_1(a1330)
    | ~ iPr_def_17
    | ~ c3_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9013]) ).

tcf(c_9276,plain,
    ( c3_1(a1411)
    | ~ iPr_def_19
    | ~ c1_1(a1411)
    | ~ c0_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9277,plain,
    ( c3_1(a1411)
    | c2_1(a1411)
    | ~ iPr_def_23
    | ~ c1_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

tcf(c_9287,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a1307)
    | ~ c1_1(a1307)
    | ~ c0_1(a1307) ),
    inference(instantiation,[status(thm)],[c_9005]) ).

tcf(c_9288,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a1328)
    | ~ c1_1(a1328)
    | ~ c0_1(a1328) ),
    inference(instantiation,[status(thm)],[c_9005]) ).

tcf(c_9293,plain,
    ( c1_1(a1324)
    | ~ iPr_def_15
    | ~ c3_1(a1324)
    | ~ c0_1(a1324) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

tcf(c_9295,plain,
    ( c1_1(a1330)
    | ~ iPr_def_15
    | ~ c3_1(a1330)
    | ~ c0_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

tcf(c_9301,plain,
    ( c1_1(a1324)
    | ~ iPr_def_16
    | ~ c2_1(a1324)
    | ~ c0_1(a1324) ),
    inference(instantiation,[status(thm)],[c_9011]) ).

tcf(c_9308,plain,
    ( c2_1(a1324)
    | ~ iPr_def_34
    | ~ c3_1(a1324)
    | ~ c0_1(a1324) ),
    inference(instantiation,[status(thm)],[c_9042]) ).

tcf(c_9314,plain,
    ( c3_1(a1319)
    | c1_1(a1319)
    | ~ iPr_def_27
    | ~ c2_1(a1319) ),
    inference(instantiation,[status(thm)],[c_9028]) ).

tcf(c_9318,plain,
    ( c3_1(a1312)
    | c2_1(a1312)
    | c1_1(a1312)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_9026]) ).

tcf(c_9321,plain,
    ( c3_1(a1326)
    | c2_1(a1326)
    | c1_1(a1326)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_9026]) ).

tcf(c_9322,plain,
    ( c3_1(a1330)
    | c2_1(a1330)
    | c1_1(a1330)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_9026]) ).

tcf(c_9327,plain,
    ( ~ iPr_def_30
    | ~ c3_1(a1334)
    | ~ c2_1(a1334)
    | ~ c1_1(a1334) ),
    inference(instantiation,[status(thm)],[c_9032]) ).

tcf(c_9330,plain,
    ( ~ iPr_def_30
    | ~ c3_1(a1307)
    | ~ c2_1(a1307)
    | ~ c1_1(a1307) ),
    inference(instantiation,[status(thm)],[c_9032]) ).

tcf(c_9332,plain,
    ( ~ iPr_def_30
    | ~ c3_1(a1338)
    | ~ c2_1(a1338)
    | ~ c1_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9032]) ).

tcf(c_9336,plain,
    ( c3_1(a1339)
    | c2_1(a1339)
    | ~ iPr_def_23
    | ~ c1_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9022]) ).

tcf(c_9340,plain,
    ( c0_1(a1315)
    | ~ iPr_def_10
    | ~ c3_1(a1315)
    | ~ c2_1(a1315) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

tcf(c_9345,plain,
    ( c0_1(a1348)
    | ~ iPr_def_10
    | ~ c3_1(a1348)
    | ~ c2_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

tcf(c_9372,plain,
    ( c3_1(a1316)
    | c0_1(a1316)
    | ~ iPr_def_25
    | ~ c1_1(a1316) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9373,plain,
    ( c3_1(a1319)
    | c0_1(a1319)
    | ~ iPr_def_25
    | ~ c1_1(a1319) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9380,plain,
    ( c3_1(a1316)
    | c2_1(a1316)
    | c0_1(a1316)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9389,plain,
    ( c3_1(a1331)
    | ~ iPr_def_32
    | ~ c2_1(a1331)
    | ~ c0_1(a1331) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9403,plain,
    ( c2_1(a1308)
    | c1_1(a1308)
    | ~ iPr_def_17
    | ~ c3_1(a1308) ),
    inference(instantiation,[status(thm)],[c_9013]) ).

tcf(c_9412,plain,
    ( c2_1(a1316)
    | c0_1(a1316)
    | ~ iPr_def_24
    | ~ c1_1(a1316) ),
    inference(instantiation,[status(thm)],[c_9023]) ).

tcf(c_9432,plain,
    ( c3_1(a1330)
    | c1_1(a1330)
    | ~ iPr_def_40
    | ~ c0_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

tcf(c_9433,plain,
    ( c2_1(a1330)
    | c1_1(a1330)
    | ~ iPr_def_38
    | ~ c0_1(a1330) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

tcf(c_9448,plain,
    ( hskp28
    | c3_1(a1331)
    | c0_1(a1331)
    | ~ c1_1(a1331) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_9452,plain,
    ( c3_1(a1333)
    | ~ iPr_def_19
    | ~ c1_1(a1333)
    | ~ c0_1(a1333) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9455,plain,
    ( c3_1(a1339)
    | c2_1(a1339)
    | c0_1(a1339)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9460,plain,
    ( c3_1(a1339)
    | c0_1(a1339)
    | ~ iPr_def_25
    | ~ c1_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9461,plain,
    ( c2_1(a1339)
    | c0_1(a1339)
    | ~ iPr_def_24
    | ~ c1_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9023]) ).

tcf(c_9463,plain,
    ( c2_1(a1339)
    | c0_1(a1339)
    | ~ iPr_def_14
    | ~ c3_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

tcf(c_9464,plain,
    ( c0_1(a1339)
    | ~ iPr_def_13
    | ~ c3_1(a1339)
    | ~ c1_1(a1339) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

tcf(c_9475,plain,
    ( c3_1(a1348)
    | c0_1(a1348)
    | ~ iPr_def_25
    | ~ c1_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9025]) ).

tcf(c_9479,plain,
    ( c0_1(a1348)
    | ~ iPr_def_13
    | ~ c3_1(a1348)
    | ~ c1_1(a1348) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

tcf(c_9503,plain,
    ( c2_1(a1352)
    | c0_1(a1352)
    | ~ iPr_def_14
    | ~ c3_1(a1352) ),
    inference(instantiation,[status(thm)],[c_9008]) ).

tcf(c_9525,plain,
    ( c3_1(a1320)
    | c1_1(a1320)
    | c0_1(a1320)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_9029]) ).

tcf(c_9530,plain,
    ( c3_1(a1356)
    | ~ iPr_def_19
    | ~ c1_1(a1356)
    | ~ c0_1(a1356) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9533,plain,
    ( c3_1(a1316)
    | c2_1(a1316)
    | c1_1(a1316)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_9026]) ).

tcf(c_9539,plain,
    ( c3_1(a1411)
    | c1_1(a1411)
    | ~ iPr_def_40
    | ~ c0_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9060]) ).

tcf(c_9540,plain,
    ( c2_1(a1411)
    | c1_1(a1411)
    | ~ iPr_def_38
    | ~ c0_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

tcf(c_9550,plain,
    ( hskp13
    | ~ c2_1(a1307)
    | ~ c1_1(a1307)
    | ~ c0_1(a1307) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9551,plain,
    ( c3_1(a1307)
    | ~ iPr_def_32
    | ~ c2_1(a1307)
    | ~ c0_1(a1307) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9552,plain,
    ( c3_1(a1307)
    | ~ iPr_def_19
    | ~ c1_1(a1307)
    | ~ c0_1(a1307) ),
    inference(instantiation,[status(thm)],[c_9015]) ).

tcf(c_9558,plain,
    ( c1_1(a1328)
    | ~ iPr_def_15
    | ~ c3_1(a1328)
    | ~ c0_1(a1328) ),
    inference(instantiation,[status(thm)],[c_9009]) ).

tcf(c_9567,plain,
    ( c0_1(a1338)
    | ~ iPr_def_10
    | ~ c3_1(a1338)
    | ~ c2_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9003]) ).

tcf(c_9594,plain,
    ( c3_1(a1411)
    | c2_1(a1411)
    | ~ iPr_def_22
    | ~ c0_1(a1411) ),
    inference(instantiation,[status(thm)],[c_9020]) ).

tcf(c_9614,plain,
    ( c3_1(a1319)
    | c0_1(a1319)
    | ~ iPr_def_11
    | ~ c2_1(a1319) ),
    inference(instantiation,[status(thm)],[c_9004]) ).

tcf(c_9636,plain,
    ( c3_1(a1333)
    | c2_1(a1333)
    | c0_1(a1333)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9645,plain,
    ( c0_1(a1338)
    | ~ iPr_def_13
    | ~ c3_1(a1338)
    | ~ c1_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9007]) ).

tcf(c_9668,plain,
    ( ~ iPr_def_31
    | ~ c2_1(a1338)
    | ~ c1_1(a1338)
    | ~ c0_1(a1338) ),
    inference(instantiation,[status(thm)],[c_9033]) ).

tcf(c_9670,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9668,c_9645,c_9636,c_9614,c_9594,c_9567,c_9558,c_9550,c_9551,c_9552,c_9539,c_9540,c_9533,c_9530,c_9525,c_9503,c_9475,c_9479,c_9455,c_9460,c_9461,c_9463,c_9464,c_9452,c_9448,c_9432,c_9433,c_9412,c_9403,c_9389,c_9380,c_9373,c_9372,c_9345,c_9340,c_9336,c_9332,c_9330,c_9327,c_9322,c_9321,c_9318,c_9314,c_9308,c_9301,c_9295,c_9293,c_9288,c_9287,c_9276,c_9277,c_9250,c_9241,c_9236,c_9234,c_9227,c_9229,c_9215,c_9218,c_9222,c_9204,c_9208,c_9210,c_9196,c_9192,c_9190,c_9174,c_9175,c_9176,c_9178,c_9171,c_9172,c_9163,c_9165,c_9167,c_9152,c_9153,c_9156,c_9158,c_9160,c_9139,c_9142,c_9143,c_9144,c_9145,c_9134,c_9129,c_9106,c_9098,c_9096,c_9094,c_9088,c_9086,c_9083,c_9082,c_9081,c_9080,c_9078,c_9077,c_9074,c_9072,c_9071,c_9068,c_9067,c_9066,c_9065,c_9062,c_9061,c_9059,c_9058,c_9054,c_9053,c_9052,c_9050,c_9049,c_9047,c_9045,c_9040,c_9038,c_9035,c_9034,c_9031,c_9027,c_9024,c_9016,c_9012,c_9010,c_9006,c_5763,c_5753,c_5489,c_5479,c_4719,c_4709,c_4699,c_4692,c_4685,c_4678,c_2652,c_2642,c_2632,c_2121,c_2111,c_2101,c_1842,c_1822,c_1815,c_1808,c_1801,c_50,c_51,c_52,c_55,c_56,c_60,c_64,c_67,c_68,c_71,c_72,c_75,c_76,c_78,c_79,c_80,c_83,c_84,c_87,c_88,c_92,c_96,c_100,c_102,c_103,c_104,c_107,c_108,c_112,c_115,c_116,c_120,c_123,c_124,c_132,c_135,c_136,c_140,c_54,c_58,c_59,c_62,c_63,c_66,c_70,c_74,c_82,c_86,c_90,c_91,c_94,c_95,c_98,c_99,c_106,c_110,c_111,c_114,c_118,c_119,c_122,c_130,c_131,c_134,c_138,c_139,c_158,c_159,c_160,c_162,c_164,c_166,c_167,c_168,c_234,c_242]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN478+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35  % Computer : n018.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 01:28:19 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.41  % Detected problem language: tptp
% 0.14/0.43  % Proving...
% 4.94/1.43  % SZS status Started for theBenchmark.p
% 4.94/1.43  % SZS status Theorem for theBenchmark.p
% 4.94/1.43  
% 4.94/1.43  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.94/1.43  
% 4.94/1.43  % ------  iProver source info
% 4.94/1.43  
% 4.94/1.43  % git: date: 2026-07-19 20:42:38 +0200
% 4.94/1.43  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.94/1.43  % git: non_committed_changes: false
% 4.94/1.43  
% 4.94/1.43  % ------ Parsing...
% 4.94/1.43  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.94/1.43  
% 4.94/1.43  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.94/1.43  
% 4.94/1.43  % ------ Preprocessing... gs_s  sp: 101 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.94/1.43  % ------ Proving...
% 4.94/1.43  % ------ Problem Properties 
% 4.94/1.43  
% 4.94/1.43  % 
% 4.94/1.43  % clauses                               200
% 4.94/1.43  % conjectures                           200
% 4.94/1.43  % EPR                                   200
% 4.94/1.43  % Horn                                  109
% 4.94/1.43  % unary                                 0
% 4.94/1.43  % binary                                95
% 4.94/1.43  % lits                                  538
% 4.94/1.43  % lits eq                               0
% 4.94/1.43  % fd_pure                               0
% 4.94/1.43  % fd_pseudo                             0
% 4.94/1.43  % fd_cond                               0
% 4.94/1.43  % fd_pseudo_cond                        0
% 4.94/1.43  % AC symbols                            0
% 4.94/1.43  
% 4.94/1.43  % ------ Input Options Time Limit: Unbounded
% 4.94/1.43  
% 4.94/1.43  
% 4.94/1.43  % ------ 
% 4.94/1.43  % Current options:
% 4.94/1.43  % ------ 
% 4.94/1.43  
% 4.94/1.43  
% 4.94/1.43  % 
% 4.94/1.43  
% 4.94/1.43  % ------ Proving...
% 4.94/1.43  % 
% 4.94/1.43  
% 4.94/1.43  % SZS status Theorem for theBenchmark.p
% 4.94/1.43  
% 4.94/1.43  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.94/1.44  
% 4.94/1.44  
%------------------------------------------------------------------------------