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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN512+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 : n005.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 03:40:38 PM UTC 2026

% Result   : Theorem 4.48s 1.28s
% Output   : CNFRefutation 4.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f248ERROR: Could not build tree for root c_19993ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp21
        | hskp14 )
      & ( hskp1
        | hskp11
        | hskp0 )
      & ( hskp16
        | hskp17
        | hskp2 )
      & ( hskp23
        | hskp30
        | hskp19 )
      & ( hskp21
        | hskp7 )
      & ( hskp21
        | hskp10
        | hskp7 )
      & ( hskp16
        | hskp8
        | hskp31 )
      & ( hskp4
        | hskp14
        | hskp9 )
      & ( hskp6
        | hskp22
        | hskp9 )
      & ( hskp10
        | hskp28 )
      & ( hskp1
        | hskp25
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp25
        | hskp27
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp8
        | hskp29
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp6
        | hskp16
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp4
        | hskp22
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp0
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp18
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp25
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp14
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp4
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp17
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp3
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp20
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp16
        | hskp5
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp1
        | hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp30
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp28
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp7
        | hskp28
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp25
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp31
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp3
        | hskp28
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp17
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp13
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp24
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp11
        | hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp7
        | hskp9
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp14
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp3
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp19
        | hskp31
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp2
        | hskp9
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp29
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp12
        | hskp2
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp5
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp23
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c1_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp19
        | hskp22
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp21
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp20
        | hskp19
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp11
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp18
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp4
        | hskp17
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp16
        | hskp30
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp2
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp4
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp29
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp15
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp12
        | hskp14
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp3
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp4
        | hskp11
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp13
        | hskp12
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp0
        | hskp9
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp1
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp5
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c1_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp6
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c2_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | hskp5
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp4
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp3
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a875)
          & c2_1(a875)
          & c0_1(a875)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a857)
          & c2_1(a857)
          & c1_1(a857)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a849)
          & c1_1(a849)
          & c0_1(a849)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a839)
          & c1_1(a839)
          & c0_1(a839)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a919)
          & c3_1(a919)
          & c2_1(a919)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a901)
          & ~ c2_1(a901)
          & c0_1(a901)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a890)
          & ~ c0_1(a890)
          & c2_1(a890)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a884)
          & c3_1(a884)
          & c1_1(a884)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a868)
          & ~ c1_1(a868)
          & c2_1(a868)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a866)
          & c1_1(a866)
          & c0_1(a866)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a865)
          & ~ c0_1(a865)
          & c2_1(a865)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a864)
          & ~ c0_1(a864)
          & c1_1(a864)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a863)
          & c3_1(a863)
          & c0_1(a863)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a861)
          & c2_1(a861)
          & c0_1(a861)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a859)
          & ~ c1_1(a859)
          & c0_1(a859)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a858)
          & ~ c1_1(a858)
          & ~ c0_1(a858)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a853)
          & c3_1(a853)
          & c1_1(a853)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a851)
          & c2_1(a851)
          & c1_1(a851)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a846)
          & ~ c0_1(a846)
          & c3_1(a846)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a845)
          & ~ c0_1(a845)
          & c3_1(a845)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a844)
          & ~ c1_1(a844)
          & c3_1(a844)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a843)
          & ~ c0_1(a843)
          & c1_1(a843)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a841)
          & c1_1(a841)
          & c0_1(a841)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a838)
          & ~ c2_1(a838)
          & c1_1(a838)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a836)
          & c3_1(a836)
          & c0_1(a836)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a835)
          & ~ c2_1(a835)
          & ~ c0_1(a835)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a833)
          & c2_1(a833)
          & c0_1(a833)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a832)
          & ~ c2_1(a832)
          & ~ c1_1(a832)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a831)
          & c3_1(a831)
          & c2_1(a831)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a830)
          & ~ c1_1(a830)
          & c0_1(a830)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a829)
          & ~ c1_1(a829)
          & ~ c0_1(a829)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a828)
          & c2_1(a828)
          & c1_1(a828)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp21
          | hskp14 )
        & ( hskp1
          | hskp11
          | hskp0 )
        & ( hskp16
          | hskp17
          | hskp2 )
        & ( hskp23
          | hskp30
          | hskp19 )
        & ( hskp21
          | hskp7 )
        & ( hskp21
          | hskp10
          | hskp7 )
        & ( hskp16
          | hskp8
          | hskp31 )
        & ( hskp4
          | hskp14
          | hskp9 )
        & ( hskp6
          | hskp22
          | hskp9 )
        & ( hskp10
          | hskp28 )
        & ( hskp1
          | hskp25
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp25
          | hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp8
          | hskp29
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp6
          | hskp16
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp4
          | hskp22
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp0
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp18
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp25
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp14
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp4
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp17
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp3
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp20
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp16
          | hskp5
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp1
          | hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp30
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp7
          | hskp28
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp25
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp31
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp3
          | hskp28
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp17
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp13
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp24
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp11
          | hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp7
          | hskp9
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp14
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp19
          | hskp31
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp2
          | hskp9
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp29
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp12
          | hskp2
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp5
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp23
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp19
          | hskp22
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp21
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp20
          | hskp19
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp4
          | hskp17
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp16
          | hskp30
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp2
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp4
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp29
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp15
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp12
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp3
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp4
          | hskp11
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp13
          | hskp12
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp0
          | hskp9
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp1
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp5
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp6
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | hskp5
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp4
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp3
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a875)
            & c2_1(a875)
            & c0_1(a875)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a857)
            & c2_1(a857)
            & c1_1(a857)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a849)
            & c1_1(a849)
            & c0_1(a849)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a839)
            & c1_1(a839)
            & c0_1(a839)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a919)
            & c3_1(a919)
            & c2_1(a919)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a901)
            & ~ c2_1(a901)
            & c0_1(a901)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a890)
            & ~ c0_1(a890)
            & c2_1(a890)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a884)
            & c3_1(a884)
            & c1_1(a884)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a868)
            & ~ c1_1(a868)
            & c2_1(a868)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a866)
            & c1_1(a866)
            & c0_1(a866)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a865)
            & ~ c0_1(a865)
            & c2_1(a865)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a864)
            & ~ c0_1(a864)
            & c1_1(a864)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a863)
            & c3_1(a863)
            & c0_1(a863)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a861)
            & c2_1(a861)
            & c0_1(a861)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a859)
            & ~ c1_1(a859)
            & c0_1(a859)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a858)
            & ~ c1_1(a858)
            & ~ c0_1(a858)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a853)
            & c3_1(a853)
            & c1_1(a853)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a851)
            & c2_1(a851)
            & c1_1(a851)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a846)
            & ~ c0_1(a846)
            & c3_1(a846)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a845)
            & ~ c0_1(a845)
            & c3_1(a845)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a844)
            & ~ c1_1(a844)
            & c3_1(a844)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a843)
            & ~ c0_1(a843)
            & c1_1(a843)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a841)
            & c1_1(a841)
            & c0_1(a841)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a838)
            & ~ c2_1(a838)
            & c1_1(a838)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a836)
            & c3_1(a836)
            & c0_1(a836)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a835)
            & ~ c2_1(a835)
            & ~ c0_1(a835)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a833)
            & c2_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a832)
            & ~ c2_1(a832)
            & ~ c1_1(a832)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a831)
            & c3_1(a831)
            & c2_1(a831)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a830)
            & ~ c1_1(a830)
            & c0_1(a830)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a829)
            & ~ c1_1(a829)
            & ~ c0_1(a829)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a828)
            & c2_1(a828)
            & c1_1(a828)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c1_1(X111)
            | ~ c0_1(X111) ) ) )
    & ( hskp25
      | hskp27
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | ~ c0_1(X110) ) ) )
    & ( hskp8
      | hskp29
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c1_1(X109)
            | ~ c0_1(X109) ) ) )
    & ( hskp6
      | hskp16
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c0_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp4
      | hskp22
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c3_1(X107) ) ) )
    & ( hskp0
      | hskp19
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c0_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp18
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | ~ c1_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c0_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp25
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp14
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp4
      | hskp24
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp17
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c1_1(X98)
            | c3_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp3
      | hskp0
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | c3_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp20
      | hskp26
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp16
      | hskp5
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp1
      | hskp13
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c0_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp8
      | hskp22
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp30
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp28
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | c3_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp7
      | hskp28
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c3_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp25
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp31
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp3
      | hskp28
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp17
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c1_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp13
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp24
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp11
      | hskp19
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp7
      | hskp9
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp14
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c0_1(X73)
            | c3_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp17
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp3
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c2_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp19
      | hskp31
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp2
      | hskp9
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp29
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | ~ c0_1(X65)
            | c3_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c0_1(X63)
            | c3_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c0_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp12
      | hskp2
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp5
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp23
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp19
      | hskp22
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | ~ c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c3_1(X50)
            | c2_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp21
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp20
      | hskp19
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp11
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp18
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | c3_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp4
      | hskp17
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c3_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp16
      | hskp30
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp2
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp4
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp29
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp15
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp12
      | hskp14
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp3
      | hskp29
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp4
      | hskp11
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp13
      | hskp12
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp11
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c1_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp10
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c1_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp0
      | hskp9
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp1
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp8
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp5
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp7
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c1_1(X14)
            | c2_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp6
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c2_1(X12)
            | c1_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp4
      | hskp5
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp4
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp3
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | c2_1(X3)
            | c1_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp25
      | hskp27
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) ) )
    & ( hskp8
      | hskp29
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp6
      | hskp16
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp4
      | hskp22
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp0
      | hskp19
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( hskp18
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c1_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104) ) )
    & ( hskp25
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102) ) )
    & ( hskp14
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp4
      | hskp24
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp17
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) ) )
    & ( hskp3
      | hskp0
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) ) )
    & ( hskp20
      | hskp26
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95) ) )
    & ( hskp16
      | hskp5
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94) ) )
    & ( hskp1
      | hskp13
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) ) )
    & ( hskp8
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92) ) )
    & ( hskp30
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp28
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp7
      | hskp28
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp25
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp31
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp3
      | hskp28
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp17
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp13
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp24
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp11
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75) ) )
    & ( hskp7
      | hskp9
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp14
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp17
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp3
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp19
      | hskp31
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp2
      | hskp9
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp29
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp12
      | hskp2
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp5
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp23
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c1_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp19
      | hskp22
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c3_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp21
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) ) )
    & ( hskp20
      | hskp19
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp11
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp18
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( hskp4
      | hskp17
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( hskp16
      | hskp30
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp2
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp4
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp29
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp15
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp12
      | hskp14
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp3
      | hskp29
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp4
      | hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp13
      | hskp12
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp11
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp0
      | hskp9
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp1
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp8
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp5
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp7
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | ~ c1_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp6
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c0_1(X12)
          | c2_1(X12)
          | c1_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp4
      | hskp5
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp4
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp3
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | c2_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp21
      | hskp14 )
    & ( hskp1
      | hskp11
      | hskp0 )
    & ( hskp16
      | hskp17
      | hskp2 )
    & ( hskp23
      | hskp30
      | hskp19 )
    & ( hskp21
      | hskp7 )
    & ( hskp21
      | hskp10
      | hskp7 )
    & ( hskp16
      | hskp8
      | hskp31 )
    & ( hskp4
      | hskp14
      | hskp9 )
    & ( hskp6
      | hskp22
      | hskp9 )
    & ( hskp10
      | hskp28 )
    & ( hskp1
      | hskp25
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp25
      | hskp27
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) ) )
    & ( hskp8
      | hskp29
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp6
      | hskp16
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp4
      | hskp22
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp0
      | hskp19
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( hskp18
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c1_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104) ) )
    & ( hskp25
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102) ) )
    & ( hskp14
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp4
      | hskp24
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp17
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) ) )
    & ( hskp3
      | hskp0
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) ) )
    & ( hskp20
      | hskp26
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95) ) )
    & ( hskp16
      | hskp5
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94) ) )
    & ( hskp1
      | hskp13
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c0_1(X93)
          | c1_1(X93) ) )
    & ( hskp8
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92) ) )
    & ( hskp30
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp28
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp7
      | hskp28
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp25
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp31
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp3
      | hskp28
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp17
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp13
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp24
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp11
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c2_1(X75)
          | c1_1(X75) ) )
    & ( hskp7
      | hskp9
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp14
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp17
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp3
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp19
      | hskp31
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp2
      | hskp9
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp29
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c0_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp12
      | hskp2
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp5
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp23
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c1_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp19
      | hskp22
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | ~ c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c3_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp21
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) ) )
    & ( hskp20
      | hskp19
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp11
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp18
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( hskp4
      | hskp17
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( hskp16
      | hskp30
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp2
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp4
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp29
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp15
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp12
      | hskp14
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp3
      | hskp29
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp4
      | hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp13
      | hskp12
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp11
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp0
      | hskp9
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp1
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp8
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp5
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp7
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | ~ c1_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp6
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c0_1(X12)
          | c2_1(X12)
          | c1_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp4
      | hskp5
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp4
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp3
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | c2_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a875)
        & c2_1(a875)
        & c0_1(a875)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a857)
        & c2_1(a857)
        & c1_1(a857)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a849)
        & c1_1(a849)
        & c0_1(a849)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a839)
        & c1_1(a839)
        & c0_1(a839)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a919)
        & c3_1(a919)
        & c2_1(a919)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & c0_1(a901)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a890)
        & ~ c0_1(a890)
        & c2_1(a890)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a884)
        & c3_1(a884)
        & c1_1(a884)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a868)
        & ~ c1_1(a868)
        & c2_1(a868)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a866)
        & c1_1(a866)
        & c0_1(a866)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a865)
        & ~ c0_1(a865)
        & c2_1(a865)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a864)
        & ~ c0_1(a864)
        & c1_1(a864)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a863)
        & c3_1(a863)
        & c0_1(a863)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a861)
        & c2_1(a861)
        & c0_1(a861)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a859)
        & ~ c1_1(a859)
        & c0_1(a859)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a858)
        & ~ c1_1(a858)
        & ~ c0_1(a858)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a853)
        & c3_1(a853)
        & c1_1(a853)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a851)
        & c2_1(a851)
        & c1_1(a851)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a846)
        & ~ c0_1(a846)
        & c3_1(a846)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a845)
        & ~ c0_1(a845)
        & c3_1(a845)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a844)
        & ~ c1_1(a844)
        & c3_1(a844)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a843)
        & ~ c0_1(a843)
        & c1_1(a843)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a841)
        & c1_1(a841)
        & c0_1(a841)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a838)
        & ~ c2_1(a838)
        & c1_1(a838)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a836)
        & c3_1(a836)
        & c0_1(a836)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a835)
        & ~ c2_1(a835)
        & ~ c0_1(a835)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a833)
        & c2_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a832)
        & ~ c2_1(a832)
        & ~ c1_1(a832)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a831)
        & c3_1(a831)
        & c2_1(a831)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a830)
        & ~ c1_1(a830)
        & c0_1(a830)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a829)
        & ~ c1_1(a829)
        & ~ c0_1(a829)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a828)
        & c2_1(a828)
        & c1_1(a828)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp1
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp16
    | hskp17
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp16
    | hskp8
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp4
    | hskp14
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X108] :
      ( hskp6
      | hskp16
      | ~ ndr1_0
      | ~ c2_1(X108)
      | ~ c0_1(X108)
      | c3_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X99] :
      ( hskp4
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c0_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X96] :
      ( hskp3
      | hskp0
      | ~ ndr1_0
      | ~ c0_1(X96)
      | c3_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X94] :
      ( hskp16
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X93] :
      ( hskp1
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X93)
      | ~ c0_1(X93)
      | c1_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X75] :
      ( hskp11
      | hskp19
      | ~ ndr1_0
      | ~ c0_1(X75)
      | c2_1(X75)
      | c1_1(X75) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74] :
      ( hskp7
      | hskp9
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c2_1(X74)
      | c1_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X67] :
      ( hskp19
      | hskp31
      | ~ ndr1_0
      | c3_1(X67)
      | c2_1(X67)
      | c1_1(X67) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X66] :
      ( hskp2
      | hskp9
      | ~ ndr1_0
      | c3_1(X66)
      | c2_1(X66)
      | c1_1(X66) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X41] :
      ( hskp4
      | hskp17
      | ~ ndr1_0
      | ~ c1_1(X41)
      | c3_1(X41)
      | c0_1(X41) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X29] :
      ( hskp4
      | hskp11
      | ~ ndr1_0
      | c3_1(X29)
      | c2_1(X29)
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X10] :
      ( hskp4
      | hskp5
      | ~ ndr1_0
      | c2_1(X10)
      | c1_1(X10)
      | c0_1(X10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( c3_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c0_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( c3_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c2_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c1_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( c3_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( c1_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c0_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ c3_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c0_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c2_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ c2_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( c3_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c1_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ c2_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( c3_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c0_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ c1_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( c2_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c0_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ c3_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c0_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ c2_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a858)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ c0_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( c3_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c1_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ c3_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( c2_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c1_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ c2_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c0_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ c2_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ c2_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( c1_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c0_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ c3_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c1_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ c1_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( c3_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c0_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ c3_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c0_1(a835)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ c3_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( c2_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c0_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ c3_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c2_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c1_1(a832)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ c1_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( c3_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c2_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ c2_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c1_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( c0_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ c3_1(a829)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c1_1(a829)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ c0_1(a829)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    ( ~ c0_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( c2_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( c1_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_51,negated_conjecture,
    ( c2_1(a828)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a828) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_54,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a829) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a829) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a829) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a830)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a830) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_62,negated_conjecture,
    ( c2_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a831)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a831) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_66,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a832) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a832) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a832) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_71,negated_conjecture,
    ( c2_1(a833)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a833) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_74,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a835) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a835) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a835) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a836)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a836) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_81,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a838)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a838) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a838) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_87,negated_conjecture,
    ( c1_1(a841)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a841) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_94,negated_conjecture,
    ( c3_1(a844)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a844) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a844) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_102,negated_conjecture,
    ( c3_1(a846)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a846) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a846) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_106,negated_conjecture,
    ( c1_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_107,negated_conjecture,
    ( c2_1(a851)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a851) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a853)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a853) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_113,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_114,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a858) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a858) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a858) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a859)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a859) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a859) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_122,negated_conjecture,
    ( c0_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_123,negated_conjecture,
    ( c2_1(a861)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a861) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_126,negated_conjecture,
    ( c0_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a863)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a863) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_147,negated_conjecture,
    ( c3_1(a884)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a884) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_150,negated_conjecture,
    ( c2_1(a890)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a890) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a890) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a839)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_170,negated_conjecture,
    ( c1_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a857)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_174,negated_conjecture,
    ( c0_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_175,negated_conjecture,
    ( c2_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_176,negated_conjecture,
    ( c3_1(a875)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp7
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp0
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_242,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp6
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_248,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp4 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_249,negated_conjecture,
    ( hskp31
    | hskp16
    | hskp8 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_253,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp2 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_254,negated_conjecture,
    ( hskp11
    | hskp1
    | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_292,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_249,c_173,c_113,c_81]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_249,c_173,c_113,c_81,c_215]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_249,c_173,c_113,c_81,c_214]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_249,c_173,c_113,c_81,c_193]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_249,c_173,c_113,c_81,c_182]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp0
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_249,c_173,c_113,c_81,c_234]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_249,c_173,c_113,c_81,c_220]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp7
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_249,c_173,c_113,c_81,c_219]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_201,c_292]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp6
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_249,c_173,c_113,c_81,c_242]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp6
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_249,c_173,c_113,c_81,c_236]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_422,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp5
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_249,c_173,c_113,c_81,c_232]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp5
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_425,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_249,c_173,c_113,c_81,c_231]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_249,c_173,c_113,c_81,c_177]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_249,c_173,c_113,c_81,c_178]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_249,c_173,c_113,c_81,c_222]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_458,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_249,c_173,c_113,c_81,c_221]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_464,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_249,c_173,c_113,c_81,c_179]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_249,c_173,c_113,c_81,c_235]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | 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_225,c_249,c_173,c_113,c_81,c_225]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_249,c_173,c_113,c_81,c_223]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_249,c_173,c_113,c_81,c_218]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_249,c_173,c_113,c_81,c_217]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_249,c_173,c_113,c_81,c_216]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_249,c_173,c_113,c_81,c_205]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_249,c_173,c_113,c_81,c_198]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_249,c_173,c_113,c_81,c_197]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_249,c_173,c_113,c_81,c_196]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_249,c_173,c_113,c_81,c_191]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_493,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_249,c_173,c_113,c_81,c_185]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_497,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_249,c_173,c_113,c_81,c_180]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_249,c_173,c_113,c_81,c_228]) ).

tcf(c_500,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_499]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_249,c_173,c_113,c_81,c_226]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_249,c_173,c_113,c_81,c_210]) ).

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

tcf(c_507,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_249,c_173,c_113,c_81,c_199]) ).

tcf(c_508,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_507]) ).

tcf(c_509,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_249,c_173,c_113,c_81,c_239]) ).

tcf(c_510,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_509]) ).

tcf(c_514,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_249,c_173,c_113,c_81,c_237]) ).

tcf(c_515,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_514]) ).

tcf(c_516,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_249,c_173,c_113,c_81,c_229]) ).

tcf(c_517,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_516]) ).

tcf(c_520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_249,c_173,c_113,c_81,c_212]) ).

tcf(c_521,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_520]) ).

tcf(c_522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_249,c_173,c_113,c_81,c_208]) ).

tcf(c_523,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_522]) ).

tcf(c_524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_249,c_173,c_113,c_81,c_206]) ).

tcf(c_525,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_524]) ).

tcf(c_526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_249,c_173,c_113,c_81,c_189]) ).

tcf(c_527,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_526]) ).

tcf(c_4537,plain,
    ( hskp31
    | hskp16
    | ~ c2_1(a838) ),
    inference(resolution,[status(thm)],[c_249,c_83]) ).

tcf(c_4547,plain,
    ( hskp31
    | hskp16
    | c1_1(a838) ),
    inference(resolution,[status(thm)],[c_249,c_82]) ).

tcf(c_5679,plain,
    ( hskp9
    | hskp4
    | ~ c3_1(a851) ),
    inference(resolution,[status(thm)],[c_248,c_108]) ).

tcf(c_5699,plain,
    ( hskp9
    | hskp4
    | c1_1(a851) ),
    inference(resolution,[status(thm)],[c_248,c_106]) ).

tcf(c_7249,plain,
    ( hskp11
    | hskp0
    | ~ c3_1(a829) ),
    inference(resolution,[status(thm)],[c_254,c_56]) ).

tcf(c_7259,plain,
    ( hskp11
    | hskp0
    | ~ c1_1(a829) ),
    inference(resolution,[status(thm)],[c_254,c_55]) ).

tcf(c_7269,plain,
    ( hskp11
    | hskp0
    | ~ c0_1(a829) ),
    inference(resolution,[status(thm)],[c_254,c_54]) ).

tcf(c_7588,plain,
    ( hskp17
    | hskp16
    | ~ c2_1(a830) ),
    inference(resolution,[status(thm)],[c_253,c_60]) ).

tcf(c_7598,plain,
    ( hskp17
    | hskp16
    | ~ c1_1(a830) ),
    inference(resolution,[status(thm)],[c_253,c_59]) ).

tcf(c_7608,plain,
    ( hskp17
    | hskp16
    | c0_1(a830) ),
    inference(resolution,[status(thm)],[c_253,c_58]) ).

tcf(c_18680,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_527]) ).

tcf(c_18681,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_527]) ).

tcf(c_18682,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_527]) ).

tcf(c_18683,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).

tcf(c_18684,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_525]) ).

tcf(c_18685,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_525]) ).

tcf(c_18686,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_525]) ).

tcf(c_18687,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_523]) ).

tcf(c_18688,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_523]) ).

tcf(c_18689,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

tcf(c_18690,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_521]) ).

tcf(c_18691,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_521]) ).

tcf(c_18692,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_521]) ).

tcf(c_18693,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

tcf(c_18695,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_517]) ).

tcf(c_18696,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_517]) ).

tcf(c_18697,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

tcf(c_18698,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_515]) ).

tcf(c_18702,negated_conjecture,
    ( iPr_def_22
    | iPr_def_13
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

tcf(c_18703,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_508]) ).

tcf(c_18707,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_504]) ).

tcf(c_18708,negated_conjecture,
    ( iPr_def_26
    | iPr_def_20
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_18709,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_502]) ).

tcf(c_18710,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_18711,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_500]) ).

tcf(c_18712,negated_conjecture,
    ( iPr_def_28
    | iPr_def_19
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

tcf(c_18713,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_498]) ).

tcf(c_18716,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_494]) ).

tcf(c_18717,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_18719,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_490]) ).

tcf(c_18720,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_18721,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_488]) ).

tcf(c_18722,negated_conjecture,
    ( iPr_def_32
    | iPr_def_24
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_18723,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_486]) ).

tcf(c_18725,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_18727,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_480]) ).

tcf(c_18729,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_477]) ).

tcf(c_18730,negated_conjecture,
    ( iPr_def_35
    | iPr_def_22
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_18731,negated_conjecture,
    ( iPr_def_35
    | iPr_def_33
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_18732,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_18733,negated_conjecture,
    ( iPr_def_34
    | iPr_def_15
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_18734,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_18735,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_467]) ).

tcf(c_18736,negated_conjecture,
    ( iPr_def_36
    | iPr_def_28
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_18737,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_18740,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_18741,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_18742,negated_conjecture,
    ( iPr_def_34
    | iPr_def_29
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

tcf(c_18745,negated_conjecture,
    ( iPr_def_31
    | iPr_def_29
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_18752,negated_conjecture,
    ( iPr_def_20
    | hskp13
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_18753,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_423]) ).

tcf(c_18754,negated_conjecture,
    ( iPr_def_37
    | hskp16
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_18755,negated_conjecture,
    ( iPr_def_32
    | hskp24
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_18758,negated_conjecture,
    ( iPr_def_17
    | hskp16
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_18765,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_395]) ).

tcf(c_18766,negated_conjecture,
    ( iPr_def_40
    | hskp17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_18768,negated_conjecture,
    ( iPr_def_35
    | hskp9
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_18769,negated_conjecture,
    ( iPr_def_35
    | hskp19
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_18774,negated_conjecture,
    ( iPr_def_14
    | hskp3
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_18775,negated_conjecture,
    ( iPr_def_29
    | hskp5
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_18778,negated_conjecture,
    ( iPr_def_31
    | hskp11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_18779,negated_conjecture,
    ( iPr_def_18
    | hskp9
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

tcf(c_18780,negated_conjecture,
    ( iPr_def_18
    | hskp31
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_18781,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_18683]) ).

tcf(c_18783,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18681]) ).

tcf(c_18785,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_18686]) ).

tcf(c_18789,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_18689]) ).

tcf(c_18793,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_18693]) ).

tcf(c_18800,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | hskp30 ),
    inference(demodulation,[status(thm)],[c_18697]) ).

tcf(c_18809,negated_conjecture,
    ( iPr_def_22
    | iPr_def_13
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_18702]) ).

tcf(c_18818,negated_conjecture,
    ( iPr_def_26
    | iPr_def_20
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18708]) ).

tcf(c_18821,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp25 ),
    inference(demodulation,[status(thm)],[c_18710]) ).

tcf(c_18822,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18684]) ).

tcf(c_18824,negated_conjecture,
    ( iPr_def_28
    | iPr_def_19
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_18712]) ).

tcf(c_18826,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18692]) ).

tcf(c_18833,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18717]) ).

tcf(c_18837,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18680]) ).

tcf(c_18839,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18720]) ).

tcf(c_18842,negated_conjecture,
    ( iPr_def_32
    | iPr_def_24
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_18722]) ).

tcf(c_18848,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18725]) ).

tcf(c_18852,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_16
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18688]) ).

tcf(c_18857,negated_conjecture,
    ( iPr_def_35
    | iPr_def_22
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18730]) ).

tcf(c_18860,negated_conjecture,
    ( iPr_def_35
    | iPr_def_33
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_18731]) ).

tcf(c_18863,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18732]) ).

tcf(c_18866,negated_conjecture,
    ( iPr_def_34
    | iPr_def_15
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_18733]) ).

tcf(c_18869,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp31 ),
    inference(demodulation,[status(thm)],[c_18734]) ).

tcf(c_18872,negated_conjecture,
    ( iPr_def_36
    | iPr_def_28
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_18736]) ).

tcf(c_18873,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_36
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18735]) ).

tcf(c_18874,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_28
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18711]) ).

tcf(c_18875,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18737]) ).

tcf(c_18879,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18687]) ).

tcf(c_18884,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp24 ),
    inference(demodulation,[status(thm)],[c_18740]) ).

tcf(c_18887,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_18741]) ).

tcf(c_18888,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_27
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18709]) ).

tcf(c_18890,negated_conjecture,
    ( iPr_def_34
    | iPr_def_29
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18742]) ).

tcf(c_18899,negated_conjecture,
    ( iPr_def_31
    | iPr_def_29
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18745]) ).

tcf(c_18903,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18696]) ).

tcf(c_18909,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18682]) ).

tcf(c_18911,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18707]) ).

tcf(c_18914,negated_conjecture,
    ( iPr_def_20
    | hskp13
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18752]) ).

tcf(c_18915,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_20
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18695]) ).

tcf(c_18916,negated_conjecture,
    ( iPr_def_37
    | hskp16
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18754]) ).

tcf(c_18917,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_37
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18753]) ).

tcf(c_18918,negated_conjecture,
    ( iPr_def_32
    | hskp24
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18755]) ).

tcf(c_18919,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18721]) ).

tcf(c_18921,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18698]) ).

tcf(c_18923,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18723]) ).

tcf(c_18924,negated_conjecture,
    ( iPr_def_17
    | hskp16
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18758]) ).

tcf(c_18925,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18690]) ).

tcf(c_18933,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_24
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18703]) ).

tcf(c_18934,negated_conjecture,
    ( iPr_def_40
    | hskp17
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18766]) ).

tcf(c_18935,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_40
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18765]) ).

tcf(c_18938,negated_conjecture,
    ( iPr_def_35
    | hskp9
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_18768]) ).

tcf(c_18940,negated_conjecture,
    ( iPr_def_35
    | hskp19
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18769]) ).

tcf(c_18941,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_35
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18729]) ).

tcf(c_18943,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18727]) ).

tcf(c_18948,negated_conjecture,
    ( iPr_def_14
    | hskp3
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18774]) ).

tcf(c_18949,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_14
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18685]) ).

tcf(c_18950,negated_conjecture,
    ( iPr_def_29
    | hskp5
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18775]) ).

tcf(c_18951,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_18713]) ).

tcf(c_18953,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_30 ),
    inference(demodulation,[status(thm)],[c_18716]) ).

tcf(c_18956,negated_conjecture,
    ( iPr_def_31
    | hskp11
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18778]) ).

tcf(c_18957,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_31 ),
    inference(demodulation,[status(thm)],[c_18719]) ).

tcf(c_18958,negated_conjecture,
    ( iPr_def_18
    | hskp9
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18779]) ).

tcf(c_18960,negated_conjecture,
    ( iPr_def_18
    | hskp31
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_18780]) ).

tcf(c_18961,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_18691]) ).

tcf(c_19083,plain,
    ( c0_1(a828)
    | ~ iPr_def_12
    | ~ c2_1(a828)
    | ~ c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_18909]) ).

tcf(c_19090,plain,
    ( c0_1(a828)
    | ~ iPr_def_26
    | ~ c3_1(a828)
    | ~ c2_1(a828) ),
    inference(instantiation,[status(thm)],[c_18911]) ).

tcf(c_19091,plain,
    ( c3_1(a828)
    | ~ iPr_def_28
    | ~ c2_1(a828)
    | ~ c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_18874]) ).

tcf(c_19096,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a828)
    | ~ c2_1(a828)
    | ~ c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_18822]) ).

tcf(c_19099,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a831)
    | ~ c0_1(a831)
    | ~ c2_1(a831) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

tcf(c_19100,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a836)
    | ~ c0_1(a836)
    | ~ c2_1(a836) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

tcf(c_19107,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a875)
    | ~ c0_1(a875)
    | ~ c2_1(a875) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

tcf(c_19109,plain,
    ( c3_1(a833)
    | ~ iPr_def_17
    | ~ c0_1(a833)
    | ~ c2_1(a833) ),
    inference(instantiation,[status(thm)],[c_18925]) ).

tcf(c_19112,plain,
    ( c3_1(a859)
    | ~ iPr_def_17
    | ~ c0_1(a859)
    | ~ c2_1(a859) ),
    inference(instantiation,[status(thm)],[c_18925]) ).

tcf(c_19113,plain,
    ( c3_1(a861)
    | ~ iPr_def_17
    | ~ c0_1(a861)
    | ~ c2_1(a861) ),
    inference(instantiation,[status(thm)],[c_18925]) ).

tcf(c_19118,plain,
    ( c3_1(a830)
    | c2_1(a830)
    | ~ iPr_def_14
    | ~ c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_18949]) ).

tcf(c_19121,plain,
    ( c3_1(a841)
    | c2_1(a841)
    | ~ iPr_def_14
    | ~ c0_1(a841) ),
    inference(instantiation,[status(thm)],[c_18949]) ).

tcf(c_19122,plain,
    ( c3_1(a859)
    | c2_1(a859)
    | ~ iPr_def_14
    | ~ c0_1(a859) ),
    inference(instantiation,[status(thm)],[c_18949]) ).

tcf(c_19134,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a839)
    | ~ c2_1(a839)
    | ~ c1_1(a839) ),
    inference(instantiation,[status(thm)],[c_18822]) ).

tcf(c_19135,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a857)
    | ~ c2_1(a857)
    | ~ c1_1(a857) ),
    inference(instantiation,[status(thm)],[c_18822]) ).

tcf(c_19136,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a875)
    | ~ c2_1(a875)
    | ~ c1_1(a875) ),
    inference(instantiation,[status(thm)],[c_18822]) ).

tcf(c_19142,plain,
    ( c2_1(a884)
    | ~ iPr_def_15
    | ~ c3_1(a884)
    | ~ c1_1(a884) ),
    inference(instantiation,[status(thm)],[c_18879]) ).

tcf(c_19143,plain,
    ( c2_1(a839)
    | ~ iPr_def_15
    | ~ c3_1(a839)
    | ~ c1_1(a839) ),
    inference(instantiation,[status(thm)],[c_18879]) ).

tcf(c_19147,plain,
    ( c3_1(a832)
    | c0_1(a832)
    | c2_1(a832)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_18957]) ).

tcf(c_19148,plain,
    ( c3_1(a835)
    | c0_1(a835)
    | c2_1(a835)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_18957]) ).

tcf(c_19152,plain,
    ( c3_1(a858)
    | c0_1(a858)
    | c2_1(a858)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_18957]) ).

tcf(c_19157,plain,
    ( c3_1(a838)
    | c0_1(a838)
    | c2_1(a838)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_18957]) ).

tcf(c_19158,plain,
    ( c0_1(a831)
    | c1_1(a831)
    | ~ iPr_def_11
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_18783]) ).

tcf(c_19171,plain,
    ( c3_1(a832)
    | c2_1(a832)
    | c1_1(a832)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_18961]) ).

tcf(c_19174,plain,
    ( c3_1(a858)
    | c2_1(a858)
    | c1_1(a858)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_18961]) ).

tcf(c_19175,plain,
    ( c3_1(a859)
    | c2_1(a859)
    | c1_1(a859)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_18961]) ).

tcf(c_19191,plain,
    ( c1_1(a836)
    | ~ iPr_def_20
    | ~ c3_1(a836)
    | ~ c0_1(a836) ),
    inference(instantiation,[status(thm)],[c_18915]) ).

tcf(c_19197,plain,
    ( c1_1(a875)
    | ~ iPr_def_20
    | ~ c3_1(a875)
    | ~ c0_1(a875) ),
    inference(instantiation,[status(thm)],[c_18915]) ).

tcf(c_19200,plain,
    ( c0_1(a844)
    | c2_1(a844)
    | ~ iPr_def_24
    | ~ c3_1(a844) ),
    inference(instantiation,[status(thm)],[c_18933]) ).

tcf(c_19201,plain,
    ( c0_1(a846)
    | c2_1(a846)
    | ~ iPr_def_24
    | ~ c3_1(a846) ),
    inference(instantiation,[status(thm)],[c_18933]) ).

tcf(c_19206,plain,
    ( c1_1(a831)
    | ~ iPr_def_19
    | ~ c0_1(a831)
    | ~ c2_1(a831) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19212,plain,
    ( c1_1(a875)
    | ~ iPr_def_19
    | ~ c0_1(a875)
    | ~ c2_1(a875) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19214,plain,
    ( c1_1(a863)
    | ~ iPr_def_20
    | ~ c3_1(a863)
    | ~ c0_1(a863) ),
    inference(instantiation,[status(thm)],[c_18915]) ).

tcf(c_19216,plain,
    ( c2_1(a863)
    | ~ iPr_def_15
    | ~ c3_1(a863)
    | ~ c1_1(a863) ),
    inference(instantiation,[status(thm)],[c_18879]) ).

tcf(c_19222,plain,
    ( c0_1(a846)
    | ~ iPr_def_16
    | ~ c3_1(a846)
    | ~ c1_1(a846) ),
    inference(instantiation,[status(thm)],[c_18852]) ).

tcf(c_19223,plain,
    ( c0_1(a853)
    | ~ iPr_def_16
    | ~ c3_1(a853)
    | ~ c1_1(a853) ),
    inference(instantiation,[status(thm)],[c_18852]) ).

tcf(c_19225,plain,
    ( c0_1(a884)
    | ~ iPr_def_16
    | ~ c3_1(a884)
    | ~ c1_1(a884) ),
    inference(instantiation,[status(thm)],[c_18852]) ).

tcf(c_19234,plain,
    ( ~ iPr_def_21
    | ~ c0_1(a875)
    | ~ c2_1(a875)
    | ~ c1_1(a875) ),
    inference(instantiation,[status(thm)],[c_18903]) ).

tcf(c_19237,plain,
    ( c3_1(a851)
    | ~ iPr_def_33
    | ~ c0_1(a851)
    | ~ c1_1(a851) ),
    inference(instantiation,[status(thm)],[c_18923]) ).

tcf(c_19269,plain,
    ( c1_1(a875)
    | ~ iPr_def_37
    | ~ c3_1(a875)
    | ~ c2_1(a875) ),
    inference(instantiation,[status(thm)],[c_18917]) ).

tcf(c_19270,plain,
    ( c3_1(a829)
    | c0_1(a829)
    | c1_1(a829)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_18953]) ).

tcf(c_19276,plain,
    ( c3_1(a890)
    | c0_1(a890)
    | c1_1(a890)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_18953]) ).

tcf(c_19339,plain,
    ( c0_1(a851)
    | ~ iPr_def_12
    | ~ c2_1(a851)
    | ~ c1_1(a851) ),
    inference(instantiation,[status(thm)],[c_18909]) ).

tcf(c_19343,plain,
    ( c0_1(a890)
    | ~ iPr_def_12
    | ~ c2_1(a890)
    | ~ c1_1(a890) ),
    inference(instantiation,[status(thm)],[c_18909]) ).

tcf(c_19354,plain,
    ( c1_1(a833)
    | ~ iPr_def_19
    | ~ c0_1(a833)
    | ~ c2_1(a833) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19355,plain,
    ( c1_1(a836)
    | ~ iPr_def_19
    | ~ c0_1(a836)
    | ~ c2_1(a836) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19358,plain,
    ( c1_1(a859)
    | ~ iPr_def_19
    | ~ c0_1(a859)
    | ~ c2_1(a859) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19359,plain,
    ( c1_1(a861)
    | ~ iPr_def_19
    | ~ c0_1(a861)
    | ~ c2_1(a861) ),
    inference(instantiation,[status(thm)],[c_18826]) ).

tcf(c_19368,plain,
    ( ~ iPr_def_21
    | ~ c0_1(a833)
    | ~ c2_1(a833)
    | ~ c1_1(a833) ),
    inference(instantiation,[status(thm)],[c_18903]) ).

tcf(c_19407,plain,
    ( c0_1(a832)
    | c2_1(a832)
    | c1_1(a832)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_18951]) ).

tcf(c_19410,plain,
    ( c0_1(a858)
    | c2_1(a858)
    | c1_1(a858)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_18951]) ).

tcf(c_19417,plain,
    ( c2_1(a830)
    | c1_1(a830)
    | ~ iPr_def_35
    | ~ c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_18941]) ).

tcf(c_19420,plain,
    ( c2_1(a844)
    | c1_1(a844)
    | ~ iPr_def_35
    | ~ c0_1(a844) ),
    inference(instantiation,[status(thm)],[c_18941]) ).

tcf(c_19422,plain,
    ( c2_1(a859)
    | c1_1(a859)
    | ~ iPr_def_35
    | ~ c0_1(a859) ),
    inference(instantiation,[status(thm)],[c_18941]) ).

tcf(c_19445,plain,
    ( c2_1(a830)
    | c1_1(a830)
    | ~ iPr_def_34
    | ~ c3_1(a830) ),
    inference(instantiation,[status(thm)],[c_18943]) ).

tcf(c_19447,plain,
    ( c2_1(a836)
    | c1_1(a836)
    | ~ iPr_def_34
    | ~ c3_1(a836) ),
    inference(instantiation,[status(thm)],[c_18943]) ).

tcf(c_19448,plain,
    ( c2_1(a844)
    | c1_1(a844)
    | ~ iPr_def_34
    | ~ c3_1(a844) ),
    inference(instantiation,[status(thm)],[c_18943]) ).

tcf(c_19449,plain,
    ( c2_1(a858)
    | c1_1(a858)
    | ~ iPr_def_34
    | ~ c3_1(a858) ),
    inference(instantiation,[status(thm)],[c_18943]) ).

tcf(c_19454,plain,
    ( c2_1(a846)
    | c1_1(a846)
    | ~ iPr_def_34
    | ~ c3_1(a846) ),
    inference(instantiation,[status(thm)],[c_18943]) ).

tcf(c_19457,plain,
    ( c3_1(a830)
    | c1_1(a830)
    | ~ iPr_def_27
    | ~ c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

tcf(c_19458,plain,
    ( c3_1(a832)
    | c1_1(a832)
    | ~ iPr_def_27
    | ~ c0_1(a832) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

tcf(c_19462,plain,
    ( c3_1(a859)
    | c1_1(a859)
    | ~ iPr_def_27
    | ~ c0_1(a859) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

tcf(c_19485,plain,
    ( c0_1(a831)
    | ~ iPr_def_26
    | ~ c3_1(a831)
    | ~ c2_1(a831) ),
    inference(instantiation,[status(thm)],[c_18911]) ).

tcf(c_19621,plain,
    ( c3_1(a833)
    | c1_1(a833)
    | ~ iPr_def_27
    | ~ c0_1(a833) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

tcf(c_19643,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a861)
    | ~ c0_1(a861)
    | ~ c2_1(a861) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

tcf(c_19661,plain,
    ( c2_1(a841)
    | ~ iPr_def_15
    | ~ c3_1(a841)
    | ~ c1_1(a841) ),
    inference(instantiation,[status(thm)],[c_18879]) ).

tcf(c_19685,plain,
    ( c0_1(a858)
    | c2_1(a858)
    | ~ iPr_def_24
    | ~ c3_1(a858) ),
    inference(instantiation,[status(thm)],[c_18933]) ).

tcf(c_19708,plain,
    ( c2_1(a836)
    | ~ iPr_def_22
    | ~ c3_1(a836)
    | ~ c0_1(a836) ),
    inference(instantiation,[status(thm)],[c_18921]) ).

tcf(c_19751,plain,
    ( c2_1(a838)
    | ~ iPr_def_32
    | ~ c0_1(a838)
    | ~ c1_1(a838) ),
    inference(instantiation,[status(thm)],[c_18919]) ).

tcf(c_19752,plain,
    ( c2_1(a841)
    | ~ iPr_def_32
    | ~ c0_1(a841)
    | ~ c1_1(a841) ),
    inference(instantiation,[status(thm)],[c_18919]) ).

tcf(c_19755,plain,
    ( c2_1(a884)
    | ~ iPr_def_32
    | ~ c0_1(a884)
    | ~ c1_1(a884) ),
    inference(instantiation,[status(thm)],[c_18919]) ).

tcf(c_19756,plain,
    ( c2_1(a839)
    | ~ iPr_def_32
    | ~ c0_1(a839)
    | ~ c1_1(a839) ),
    inference(instantiation,[status(thm)],[c_18919]) ).

tcf(c_19853,plain,
    ( c3_1(a841)
    | c2_1(a841)
    | ~ iPr_def_36
    | ~ c1_1(a841) ),
    inference(instantiation,[status(thm)],[c_18873]) ).

tcf(c_19870,plain,
    ( c3_1(a851)
    | c0_1(a851)
    | ~ iPr_def_40
    | ~ c1_1(a851) ),
    inference(instantiation,[status(thm)],[c_18935]) ).

tcf(c_19993,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19870,c_19853,c_19756,c_19755,c_19752,c_19751,c_19708,c_19685,c_19661,c_19643,c_19621,c_19485,c_19462,c_19458,c_19457,c_19454,c_19449,c_19448,c_19447,c_19445,c_19422,c_19420,c_19417,c_19410,c_19407,c_19368,c_19359,c_19358,c_19355,c_19354,c_19343,c_19339,c_19276,c_19270,c_19269,c_19237,c_19234,c_19225,c_19223,c_19222,c_19214,c_19216,c_19212,c_19206,c_19201,c_19200,c_19197,c_19191,c_19175,c_19174,c_19171,c_19158,c_19157,c_19152,c_19148,c_19147,c_19143,c_19142,c_19136,c_19135,c_19134,c_19122,c_19121,c_19118,c_19113,c_19112,c_19109,c_19107,c_19100,c_19099,c_19096,c_19091,c_19090,c_19083,c_18960,c_18958,c_18956,c_18950,c_18948,c_18940,c_18938,c_18934,c_18924,c_18918,c_18916,c_18914,c_18899,c_18890,c_18887,c_18884,c_18875,c_18872,c_18869,c_18866,c_18863,c_18860,c_18857,c_18848,c_18842,c_18839,c_18833,c_18824,c_18821,c_18818,c_18809,c_18800,c_18793,c_18789,c_18785,c_18781,c_7608,c_7598,c_7588,c_7269,c_7259,c_7249,c_5699,c_5679,c_4547,c_4537,c_52,c_54,c_55,c_56,c_59,c_60,c_64,c_66,c_67,c_68,c_72,c_74,c_75,c_76,c_80,c_83,c_84,c_88,c_95,c_96,c_103,c_104,c_108,c_112,c_114,c_115,c_116,c_119,c_120,c_124,c_128,c_148,c_151,c_152,c_50,c_51,c_58,c_62,c_63,c_70,c_71,c_78,c_79,c_86,c_87,c_94,c_102,c_106,c_107,c_110,c_111,c_118,c_122,c_123,c_126,c_127,c_146,c_147,c_150,c_162,c_163,c_164,c_170,c_171,c_172,c_174,c_175,c_176,c_249,c_253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN512+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:38:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 4.48/1.28  % SZS status Started for theBenchmark.p
% 4.48/1.28  % SZS status Theorem for theBenchmark.p
% 4.48/1.28  
% 4.48/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.48/1.28  
% 4.48/1.28  % ------  iProver source info
% 4.48/1.28  
% 4.48/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.48/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.48/1.28  % git: non_committed_changes: false
% 4.48/1.28  
% 4.48/1.28  % ------ Parsing...
% 4.48/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.48/1.28  % 
% 4.48/1.28  
% 4.48/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.48/1.28  
% 4.48/1.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.48/1.28   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.48/1.28  % ------ Proving...
% 4.48/1.28  % ------ Problem Properties 
% 4.48/1.28  
% 4.48/1.28  % 
% 4.48/1.28  % clauses                               206
% 4.48/1.28  % conjectures                           206
% 4.48/1.28  % EPR                                   206
% 4.48/1.28  % Horn                                  112
% 4.48/1.28  % unary                                 0
% 4.48/1.28  % binary                                99
% 4.48/1.28  % lits                                  551
% 4.48/1.28  % lits eq                               0
% 4.48/1.28  % fd_pure                               0
% 4.48/1.28  % fd_pseudo                             0
% 4.48/1.28  % fd_cond                               0
% 4.48/1.28  % fd_pseudo_cond                        0
% 4.48/1.28  % AC symbols                            0
% 4.48/1.28  
% 4.48/1.28  % ------ Schedule EPR non Horn non eq is on
% 4.48/1.28  
% 4.48/1.28  % ------ no equalities: superposition off 
% 4.48/1.28  
% 4.48/1.28  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.48/1.28  
% 4.48/1.28  
% 4.48/1.28  % ------ 
% 4.48/1.28  % Current options:
% 4.48/1.28  % ------ 
% 4.48/1.28  
% 4.48/1.28  
% 4.48/1.28  % 
% 4.48/1.28  
% 4.48/1.28  % ------ Proving...
% 4.48/1.28  % 
% 4.48/1.28  
% 4.48/1.28  % SZS status Theorem for theBenchmark.p
% 4.48/1.28  
% 4.48/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.48/1.29  
% 4.48/1.29  
%------------------------------------------------------------------------------