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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN507+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:36 PM UTC 2026

% Result   : Theorem 4.91s 1.73s
% Output   : CNFRefutation 4.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212ERROR: Could not build tree for root c_20954ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp0
        | hskp21
        | hskp14 )
      & ( hskp17
        | hskp7
        | hskp29 )
      & ( hskp17
        | hskp22
        | hskp29 )
      & ( hskp11
        | hskp26 )
      & ( hskp8
        | hskp12
        | hskp26 )
      & ( hskp1
        | hskp10
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp10
        | hskp12
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp20
        | hskp19
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp14
        | hskp29
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp10
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c1_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp18
        | hskp29
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) ) )
      & ( hskp15
        | hskp29
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp20
        | hskp7
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp22
        | hskp14
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp8
        | hskp27
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp17
        | hskp4
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) ) )
      & ( hskp17
        | hskp3
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp17
        | hskp3
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp14
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp11
        | hskp15
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp8
        | hskp21
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp24
        | hskp5
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp28
        | hskp26
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp11
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp25
        | hskp15
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp9
        | hskp25
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp6
        | hskp8
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp24
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp16
        | hskp3
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp8
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp23
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp23
        | hskp11
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp15
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp4
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp23
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp3
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp6
        | hskp22
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp8
        | hskp28
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp11
        | hskp21
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp1
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp26
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp4
        | hskp10
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp20
        | hskp7
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp15
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c0_1(X60)
              | c3_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp8
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | hskp19
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp12
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp18
        | hskp8
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c0_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp18
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c3_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp7
        | hskp10
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp17
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c0_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp16
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp13
        | hskp15
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp14
        | hskp4
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp13
        | hskp12
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp11
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | ~ c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | hskp8
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp9
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | ~ c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp26
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp8
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | ~ c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp7
        | hskp2
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp6
        | hskp5
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp4
        | hskp3
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c3_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | c3_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp0
        | hskp26
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a678)
          & c2_1(a678)
          & c0_1(a678)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a612)
          & c2_1(a612)
          & c1_1(a612)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a611)
          & c1_1(a611)
          & c0_1(a611)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a583)
          & c1_1(a583)
          & c0_1(a583)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a651)
          & ~ c1_1(a651)
          & c2_1(a651)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a648)
          & c1_1(a648)
          & c0_1(a648)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a636)
          & ~ c0_1(a636)
          & c3_1(a636)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a633)
          & ~ c0_1(a633)
          & c1_1(a633)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a629)
          & ~ c2_1(a629)
          & c0_1(a629)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a623)
          & ~ c2_1(a623)
          & ~ c1_1(a623)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a617)
          & ~ c0_1(a617)
          & c2_1(a617)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a610)
          & ~ c0_1(a610)
          & c3_1(a610)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a607)
          & ~ c1_1(a607)
          & c3_1(a607)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a606)
          & ~ c2_1(a606)
          & c1_1(a606)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a604)
          & c3_1(a604)
          & c1_1(a604)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a603)
          & ~ c1_1(a603)
          & c0_1(a603)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a601)
          & ~ c1_1(a601)
          & ~ c0_1(a601)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a600)
          & c2_1(a600)
          & c0_1(a600)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a599)
          & c3_1(a599)
          & c2_1(a599)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a598)
          & c3_1(a598)
          & c0_1(a598)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a595)
          & ~ c1_1(a595)
          & ~ c0_1(a595)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a593)
          & c3_1(a593)
          & c1_1(a593)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a592)
          & ~ c0_1(a592)
          & c2_1(a592)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a590)
          & c3_1(a590)
          & c2_1(a590)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a589)
          & c1_1(a589)
          & c0_1(a589)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a588)
          & ~ c1_1(a588)
          & c0_1(a588)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a587)
          & c2_1(a587)
          & c0_1(a587)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a586)
          & c2_1(a586)
          & c1_1(a586)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a585)
          & c2_1(a585)
          & c1_1(a585)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a584)
          & ~ c0_1(a584)
          & c1_1(a584)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp0
          | hskp21
          | hskp14 )
        & ( hskp17
          | hskp7
          | hskp29 )
        & ( hskp17
          | hskp22
          | hskp29 )
        & ( hskp11
          | hskp26 )
        & ( hskp8
          | hskp12
          | hskp26 )
        & ( hskp1
          | hskp10
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp10
          | hskp12
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp20
          | hskp19
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp14
          | hskp29
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp10
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c1_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp18
          | hskp29
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) ) )
        & ( hskp15
          | hskp29
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp20
          | hskp7
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp22
          | hskp14
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp8
          | hskp27
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp17
          | hskp4
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) ) )
        & ( hskp17
          | hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp17
          | hskp3
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp14
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp11
          | hskp15
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp8
          | hskp21
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp24
          | hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp28
          | hskp26
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp11
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp25
          | hskp15
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp9
          | hskp25
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp6
          | hskp8
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp24
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp16
          | hskp3
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp23
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp23
          | hskp11
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp15
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp4
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp23
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp3
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp6
          | hskp22
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp8
          | hskp28
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp11
          | hskp21
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp4
          | hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp20
          | hskp7
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp15
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c3_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | hskp19
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp12
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp18
          | hskp8
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp18
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp7
          | hskp10
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp17
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp16
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp13
          | hskp15
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp14
          | hskp4
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp13
          | hskp12
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp11
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | hskp8
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp9
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp26
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp8
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp7
          | hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp6
          | hskp5
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp4
          | hskp3
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c3_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c3_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp0
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a678)
            & c2_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a612)
            & c2_1(a612)
            & c1_1(a612)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a611)
            & c1_1(a611)
            & c0_1(a611)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a583)
            & c1_1(a583)
            & c0_1(a583)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a651)
            & ~ c1_1(a651)
            & c2_1(a651)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a648)
            & c1_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a636)
            & ~ c0_1(a636)
            & c3_1(a636)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a633)
            & ~ c0_1(a633)
            & c1_1(a633)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a629)
            & ~ c2_1(a629)
            & c0_1(a629)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a623)
            & ~ c2_1(a623)
            & ~ c1_1(a623)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a617)
            & ~ c0_1(a617)
            & c2_1(a617)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a610)
            & ~ c0_1(a610)
            & c3_1(a610)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a607)
            & ~ c1_1(a607)
            & c3_1(a607)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a606)
            & ~ c2_1(a606)
            & c1_1(a606)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a604)
            & c3_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a601)
            & ~ c1_1(a601)
            & ~ c0_1(a601)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a600)
            & c2_1(a600)
            & c0_1(a600)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a598)
            & c3_1(a598)
            & c0_1(a598)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a595)
            & ~ c1_1(a595)
            & ~ c0_1(a595)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a593)
            & c3_1(a593)
            & c1_1(a593)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a592)
            & ~ c0_1(a592)
            & c2_1(a592)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a590)
            & c3_1(a590)
            & c2_1(a590)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a589)
            & c1_1(a589)
            & c0_1(a589)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a588)
            & ~ c1_1(a588)
            & c0_1(a588)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a587)
            & c2_1(a587)
            & c0_1(a587)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a586)
            & c2_1(a586)
            & c1_1(a586)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a585)
            & c2_1(a585)
            & c1_1(a585)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a584)
            & ~ c0_1(a584)
            & c1_1(a584)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c2_1(X116)
            | ~ c1_1(X116) ) ) )
    & ( hskp10
      | hskp12
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | ~ c2_1(X115)
            | ~ c0_1(X115) ) ) )
    & ( hskp20
      | hskp19
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c1_1(X114)
            | ~ c0_1(X114) ) ) )
    & ( hskp14
      | hskp29
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | ~ c0_1(X113) ) ) )
    & ( hskp10
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | ~ c1_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | ~ c0_1(X111) ) ) )
    & ( hskp18
      | hskp29
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c3_1(X110) ) ) )
    & ( hskp15
      | hskp29
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c1_1(X109)
            | c3_1(X109) ) ) )
    & ( hskp20
      | hskp7
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c0_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp22
      | hskp14
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c0_1(X107)
            | c3_1(X107) ) ) )
    & ( hskp8
      | hskp27
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) ) )
    & ( hskp17
      | hskp4
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | c3_1(X105) ) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) ) )
    & ( hskp17
      | hskp3
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp14
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | c2_1(X101) ) ) )
    & ( hskp11
      | hskp15
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp8
      | hskp21
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp24
      | hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp28
      | hskp26
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp11
      | hskp0
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp25
      | hskp15
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c0_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp9
      | hskp25
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) ) )
    & ( hskp6
      | hskp8
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp24
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp16
      | hskp3
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) ) )
    & ( hskp8
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c3_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) ) )
    & ( hskp23
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp28
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c1_1(X86)
            | c3_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c2_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp23
      | hskp11
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp15
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp4
      | hskp3
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp23
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c2_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp3
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp6
      | hskp22
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c2_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp8
      | hskp28
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp11
      | hskp21
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp1
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c3_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp26
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | c1_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp4
      | hskp10
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp16
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c3_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp20
      | hskp7
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp15
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c3_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp16
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c0_1(X60)
            | c3_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp8
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c0_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp13
      | hskp19
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp12
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp18
      | hskp8
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c3_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp28
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c3_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp27
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp18
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp7
      | hskp10
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp17
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp16
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp13
      | hskp15
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp14
      | hskp4
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp13
      | hskp12
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp11
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp10
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c2_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c2_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp6
      | hskp8
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp9
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp26
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c1_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp8
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp7
      | hskp2
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp6
      | hskp5
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c2_1(X10)
            | c0_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp4
      | hskp3
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | c3_1(X7)
            | c1_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp1
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c3_1(X3)
            | c2_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | c2_1(X2)
            | c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) ) )
    & ( hskp0
      | hskp26
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c2_1(X116)
          | ~ c1_1(X116) ) )
    & ( hskp10
      | hskp12
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c2_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp20
      | hskp19
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp14
      | hskp29
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c1_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp18
      | hskp29
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) ) )
    & ( hskp15
      | hskp29
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | c3_1(X109) ) )
    & ( hskp20
      | hskp7
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp22
      | hskp14
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp8
      | hskp27
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp17
      | hskp4
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp17
      | hskp3
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp14
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c1_1(X101)
          | c2_1(X101) ) )
    & ( hskp11
      | hskp15
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp8
      | hskp21
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp24
      | hskp5
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp28
      | hskp26
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp11
      | hskp0
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp25
      | hskp15
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp9
      | hskp25
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp6
      | hskp8
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp24
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp16
      | hskp3
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( hskp8
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp23
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp28
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | c3_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | c1_1(X85) ) )
    & ( hskp23
      | hskp11
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp15
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp4
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp23
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c0_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp3
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp6
      | hskp22
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp8
      | hskp28
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp11
      | hskp21
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp1
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp26
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp4
      | hskp10
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp16
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp20
      | hskp7
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63) ) )
    & ( hskp15
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | c3_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | ~ c0_1(X60)
          | c3_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp8
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp13
      | hskp19
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp12
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c0_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c2_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp18
      | hskp8
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp28
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp27
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp18
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp7
      | hskp10
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp17
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp16
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp13
      | hskp15
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp14
      | hskp4
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp13
      | hskp12
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp11
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp6
      | hskp8
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp9
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp26
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp8
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp7
      | hskp2
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp6
      | hskp5
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp4
      | hskp3
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | c3_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c0_1(X3)
          | c3_1(X3)
          | c2_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | c2_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) ) )
    & ( hskp0
      | hskp26
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp0
      | hskp21
      | hskp14 )
    & ( hskp17
      | hskp7
      | hskp29 )
    & ( hskp17
      | hskp22
      | hskp29 )
    & ( hskp11
      | hskp26 )
    & ( hskp8
      | hskp12
      | hskp26 )
    & ( hskp1
      | hskp10
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c2_1(X116)
          | ~ c1_1(X116) ) )
    & ( hskp10
      | hskp12
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c2_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp20
      | hskp19
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp14
      | hskp29
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp10
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c1_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp18
      | hskp29
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) ) )
    & ( hskp15
      | hskp29
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | c3_1(X109) ) )
    & ( hskp20
      | hskp7
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp22
      | hskp14
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp8
      | hskp27
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp17
      | hskp4
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp17
      | hskp3
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp14
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c1_1(X101)
          | c2_1(X101) ) )
    & ( hskp11
      | hskp15
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp8
      | hskp21
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp24
      | hskp5
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp28
      | hskp26
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp11
      | hskp0
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp25
      | hskp15
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp9
      | hskp25
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp6
      | hskp8
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp24
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp16
      | hskp3
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c3_1(X90)
          | c2_1(X90) ) )
    & ( hskp8
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp23
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp28
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | c3_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | c1_1(X85) ) )
    & ( hskp23
      | hskp11
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp15
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp4
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp23
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c0_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp3
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp6
      | hskp22
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp8
      | hskp28
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp11
      | hskp21
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp1
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c3_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp26
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp4
      | hskp10
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp16
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp20
      | hskp7
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | c0_1(X63) ) )
    & ( hskp15
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | c3_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | ~ c0_1(X60)
          | c3_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp8
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp13
      | hskp19
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp12
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c0_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | c2_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp18
      | hskp8
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp28
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp27
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp18
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp7
      | hskp10
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp17
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp16
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp13
      | hskp15
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp14
      | hskp4
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp13
      | hskp12
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp11
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp6
      | hskp8
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp9
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp26
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp8
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp7
      | hskp2
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp6
      | hskp5
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp4
      | hskp3
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | c3_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( ! [X3] :
          ( ~ ndr1_0
          | ~ c0_1(X3)
          | c3_1(X3)
          | c2_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | c2_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) ) )
    & ( hskp0
      | hskp26
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a678)
        & c2_1(a678)
        & c0_1(a678)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a612)
        & c2_1(a612)
        & c1_1(a612)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a611)
        & c1_1(a611)
        & c0_1(a611)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a583)
        & c1_1(a583)
        & c0_1(a583)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a651)
        & ~ c1_1(a651)
        & c2_1(a651)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a648)
        & c1_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a636)
        & ~ c0_1(a636)
        & c3_1(a636)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a633)
        & ~ c0_1(a633)
        & c1_1(a633)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a629)
        & ~ c2_1(a629)
        & c0_1(a629)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a623)
        & ~ c2_1(a623)
        & ~ c1_1(a623)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a617)
        & ~ c0_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a610)
        & ~ c0_1(a610)
        & c3_1(a610)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a607)
        & ~ c1_1(a607)
        & c3_1(a607)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a606)
        & ~ c2_1(a606)
        & c1_1(a606)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a604)
        & c3_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a601)
        & ~ c1_1(a601)
        & ~ c0_1(a601)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a600)
        & c2_1(a600)
        & c0_1(a600)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a598)
        & c3_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a595)
        & ~ c1_1(a595)
        & ~ c0_1(a595)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a593)
        & c3_1(a593)
        & c1_1(a593)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a592)
        & ~ c0_1(a592)
        & c2_1(a592)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a590)
        & c3_1(a590)
        & c2_1(a590)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a589)
        & c1_1(a589)
        & c0_1(a589)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a588)
        & ~ c1_1(a588)
        & c0_1(a588)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a587)
        & c2_1(a587)
        & c0_1(a587)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a586)
        & c2_1(a586)
        & c1_1(a586)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a585)
        & c2_1(a585)
        & c1_1(a585)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c1_1(a584)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f8,plain,
    ( hskp17
    | hskp22
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp8
    | hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X116] :
      ( hskp1
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X116)
      | ~ c2_1(X116)
      | ~ c1_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X115] :
      ( hskp10
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X115)
      | ~ c2_1(X115)
      | ~ c0_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X113] :
      ( hskp14
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X113)
      | ~ c1_1(X113)
      | ~ c0_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X108] :
      ( hskp20
      | hskp7
      | ~ ndr1_0
      | ~ c2_1(X108)
      | ~ c0_1(X108)
      | c3_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X107] :
      ( hskp22
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X107)
      | ~ c0_1(X107)
      | c3_1(X107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X106] :
      ( hskp8
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X106)
      | ~ c0_1(X106)
      | c3_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X103] :
      ( hskp17
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | c2_1(X103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X100] :
      ( hskp11
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | c2_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X99] :
      ( hskp8
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X99)
      | ~ c0_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X96] :
      ( hskp11
      | hskp0
      | ~ ndr1_0
      | ~ c1_1(X96)
      | ~ c0_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X84] :
      ( hskp23
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X71] :
      ( hskp11
      | hskp21
      | ~ ndr1_0
      | ~ c0_1(X71)
      | c2_1(X71)
      | c1_1(X71) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X66] :
      ( hskp4
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c0_1(X66) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X63] :
      ( hskp20
      | hskp7
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c1_1(X63)
      | c0_1(X63) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X56] :
      ( hskp13
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X8] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | c3_1(X8)
      | c1_1(X8)
      | c0_1(X8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( c2_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c1_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c1_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c0_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c3_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c2_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ c1_1(a623)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c1_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c1_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c3_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c2_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c0_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c1_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a601)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c1_1(a601)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ c0_1(a601)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c2_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c1_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c2_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a595)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c1_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c2_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c2_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c1_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c0_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c2_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c0_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c1_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a584)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a584) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a584) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c1_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a585)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a585) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( c2_1(a586)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a586) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a587)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a587) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a588)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a588) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a588) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_78,negated_conjecture,
    ( c2_1(a592)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a592) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a592) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_83,negated_conjecture,
    ( c3_1(a593)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a593) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a595) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a595) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a595) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a598)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_99,negated_conjecture,
    ( c2_1(a600)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a600) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a601) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a601) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a601) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a603) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a604)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a606)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a606) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a606) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_117,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_118,negated_conjecture,
    ( c3_1(a607)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a607) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a607) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a617)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a617) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a617) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a623) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a623) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a623) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a629)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a629) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a629) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_137,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_138,negated_conjecture,
    ( c1_1(a633)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a633) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a633) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_142,negated_conjecture,
    ( c3_1(a636)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a636) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a636) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_155,negated_conjecture,
    ( c1_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_156,negated_conjecture,
    ( c2_1(a583)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a611)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a612)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a678)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

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

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp11
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_242,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_243,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_244,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_245,negated_conjecture,
    ( hskp26
    | hskp11 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_246,negated_conjecture,
    ( hskp29
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_293,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_246,c_165,c_137,c_117]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_246,c_165,c_137,c_117,c_173]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp11
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_246,c_165,c_137,c_117,c_208]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_246,c_165,c_137,c_117,c_236]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_413,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_246,c_165,c_137,c_117,c_235]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_416,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_246,c_165,c_137,c_117,c_234]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp8
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_425,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_246,c_165,c_137,c_117,c_231]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_428,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_246,c_165,c_137,c_117,c_229]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_431,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_246,c_165,c_137,c_117,c_228]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_431]) ).

tcf(c_440,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_246,c_165,c_137,c_117,c_225]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_449,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp11
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_246,c_165,c_137,c_117,c_216]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp11
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_452,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_246,c_165,c_137,c_117,c_205]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_452]) ).

tcf(c_455,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_246,c_165,c_137,c_117,c_203]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp7
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_458,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp13
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_246,c_165,c_137,c_117,c_199]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_461,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_246,c_165,c_137,c_117,c_243]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_464,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_246,c_165,c_137,c_117,c_242]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_470,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp14
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_246,c_165,c_137,c_117,c_240]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp14
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_246,c_165,c_137,c_117,c_178]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_246,c_165,c_137,c_117,c_172]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | 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_211,c_246,c_165,c_137,c_117,c_211]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_246,c_165,c_137,c_117,c_206]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_484,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_246,c_165,c_137,c_117,c_195]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_246,c_165,c_137,c_117,c_191]) ).

tcf(c_487,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_486]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_246,c_165,c_137,c_117,c_188]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_246,c_165,c_137,c_117,c_171]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_246,c_165,c_137,c_117,c_219]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_497,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_246,c_165,c_137,c_117,c_213]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_500,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_246,c_165,c_137,c_117,c_207]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_500]) ).

tcf(c_502,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_246,c_165,c_137,c_117,c_204]) ).

tcf(c_503,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_502]) ).

tcf(c_504,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_246,c_165,c_137,c_117,c_193]) ).

tcf(c_505,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_504]) ).

tcf(c_506,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_246,c_165,c_137,c_117,c_192]) ).

tcf(c_507,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_506]) ).

tcf(c_508,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_246,c_165,c_137,c_117,c_189]) ).

tcf(c_509,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_508]) ).

tcf(c_510,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_246,c_165,c_137,c_117,c_184]) ).

tcf(c_511,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_510]) ).

tcf(c_516,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_246,c_165,c_137,c_117,c_202]) ).

tcf(c_517,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_516]) ).

tcf(c_518,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_246,c_165,c_137,c_117,c_201]) ).

tcf(c_519,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_518]) ).

tcf(c_520,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_246,c_165,c_137,c_117,c_200]) ).

tcf(c_521,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_520]) ).

tcf(c_522,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_179,c_293]) ).

tcf(c_523,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_522]) ).

tcf(c_524,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_246,c_165,c_137,c_117,c_230]) ).

tcf(c_525,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_524]) ).

tcf(c_526,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_246,c_165,c_137,c_117,c_215]) ).

tcf(c_527,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_526]) ).

tcf(c_528,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_246,c_165,c_137,c_117,c_198]) ).

tcf(c_529,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_528]) ).

tcf(c_530,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_246,c_165,c_137,c_117,c_239]) ).

tcf(c_531,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_530]) ).

tcf(c_533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_246,c_165,c_137,c_117,c_170]) ).

tcf(c_534,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_533]) ).

tcf(c_535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_246,c_165,c_137,c_117,c_181]) ).

tcf(c_536,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_535]) ).

tcf(c_537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_246,c_165,c_137,c_117,c_182]) ).

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

tcf(c_539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_246,c_165,c_137,c_117,c_194]) ).

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

tcf(c_541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_246,c_165,c_137,c_117,c_212]) ).

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

tcf(c_543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_246,c_165,c_137,c_117,c_197]) ).

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

tcf(c_545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_246,c_165,c_137,c_117,c_174]) ).

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

tcf(c_7156,plain,
    ( hskp26
    | ~ c1_1(a599) ),
    inference(resolution,[status(thm)],[c_245,c_96]) ).

tcf(c_7163,plain,
    ( hskp26
    | c3_1(a599) ),
    inference(resolution,[status(thm)],[c_245,c_95]) ).

tcf(c_7170,plain,
    ( hskp26
    | c2_1(a599) ),
    inference(resolution,[status(thm)],[c_245,c_94]) ).

tcf(c_7495,plain,
    ( hskp11
    | c2_1(a583) ),
    inference(resolution,[status(thm)],[c_245,c_156]) ).

tcf(c_7502,plain,
    ( hskp11
    | c1_1(a583) ),
    inference(resolution,[status(thm)],[c_245,c_155]) ).

tcf(c_7509,plain,
    ( hskp11
    | c0_1(a583) ),
    inference(resolution,[status(thm)],[c_245,c_154]) ).

tcf(c_7516,plain,
    ( hskp12
    | hskp8
    | c2_1(a583) ),
    inference(resolution,[status(thm)],[c_244,c_156]) ).

tcf(c_7526,plain,
    ( hskp12
    | hskp8
    | c1_1(a583) ),
    inference(resolution,[status(thm)],[c_244,c_155]) ).

tcf(c_7536,plain,
    ( hskp12
    | hskp8
    | c0_1(a583) ),
    inference(resolution,[status(thm)],[c_244,c_154]) ).

tcf(c_8050,plain,
    ! [X0: $i,X1: $i] :
      ( ~ c1_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_531,c_92]) ).

tcf(c_8051,plain,
    ( ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ c1_1(a583)
    | ~ c1_1(a598) ),
    inference(instantiation,[status(thm)],[c_8050]) ).

tcf(c_8073,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_531,c_91]) ).

tcf(c_8074,plain,
    ( c3_1(a598)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_8073]) ).

tcf(c_8096,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(a598)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_531,c_90]) ).

tcf(c_8097,plain,
    ( c0_1(a598)
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_8096]) ).

tcf(c_19406,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_546]) ).

tcf(c_19407,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_546]) ).

tcf(c_19408,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_546]) ).

tcf(c_19409,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_19410,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_544]) ).

tcf(c_19411,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_544]) ).

tcf(c_19412,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_544]) ).

tcf(c_19413,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_544]) ).

tcf(c_19414,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_542]) ).

tcf(c_19415,negated_conjecture,
    ( iPr_def_16
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).

tcf(c_19416,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_540]) ).

tcf(c_19417,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_540]) ).

tcf(c_19418,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_540]) ).

tcf(c_19419,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).

tcf(c_19420,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_538]) ).

tcf(c_19421,negated_conjecture,
    ( iPr_def_20
    | iPr_def_17
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).

tcf(c_19422,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_536]) ).

tcf(c_19423,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_536]) ).

tcf(c_19424,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).

tcf(c_19425,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_534]) ).

tcf(c_19426,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_534]) ).

tcf(c_19427,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_534]) ).

tcf(c_19428,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

tcf(c_19429,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_531]) ).

tcf(c_19430,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_531]) ).

tcf(c_19431,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).

tcf(c_19432,negated_conjecture,
    ( iPr_def_27
    | iPr_def_15
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_529]) ).

tcf(c_19433,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_527]) ).

tcf(c_19434,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).

tcf(c_19435,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_525]) ).

tcf(c_19436,negated_conjecture,
    ( iPr_def_29
    | iPr_def_13
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_525]) ).

tcf(c_19437,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_523]) ).

tcf(c_19438,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

tcf(c_19439,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_521]) ).

tcf(c_19440,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

tcf(c_19441,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_519]) ).

tcf(c_19442,negated_conjecture,
    ( iPr_def_32
    | iPr_def_22
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

tcf(c_19443,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_517]) ).

tcf(c_19444,negated_conjecture,
    ( iPr_def_33
    | iPr_def_22
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

tcf(c_19447,negated_conjecture,
    ( iPr_def_20
    | iPr_def_13
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_19448,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_509]) ).

tcf(c_19449,negated_conjecture,
    ( iPr_def_34
    | iPr_def_25
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

tcf(c_19450,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_507]) ).

tcf(c_19451,negated_conjecture,
    ( iPr_def_35
    | iPr_def_16
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

tcf(c_19452,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

tcf(c_19453,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

tcf(c_19454,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_19455,negated_conjecture,
    ( iPr_def_31
    | iPr_def_14
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_19456,negated_conjecture,
    ( iPr_def_23
    | iPr_def_18
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_19459,negated_conjecture,
    ( iPr_def_24
    | iPr_def_22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_19460,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_489]) ).

tcf(c_19461,negated_conjecture,
    ( iPr_def_37
    | iPr_def_25
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_19462,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_487]) ).

tcf(c_19464,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_485]) ).

tcf(c_19465,negated_conjecture,
    ( iPr_def_39
    | iPr_def_21
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

tcf(c_19466,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_483]) ).

tcf(c_19467,negated_conjecture,
    ( iPr_def_40
    | iPr_def_34
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_19468,negated_conjecture,
    ( iPr_def_38
    | iPr_def_14
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_19469,negated_conjecture,
    ( iPr_def_37
    | iPr_def_24
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_19470,negated_conjecture,
    ( iPr_def_40
    | iPr_def_30
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_19472,negated_conjecture,
    ( iPr_def_12
    | hskp29
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_19474,negated_conjecture,
    ( iPr_def_13
    | hskp12
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_19475,negated_conjecture,
    ( iPr_def_26
    | hskp10
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_19476,negated_conjecture,
    ( iPr_def_15
    | hskp19
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_19477,negated_conjecture,
    ( iPr_def_22
    | hskp20
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_19478,negated_conjecture,
    ( iPr_def_11
    | hskp10
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

tcf(c_19479,negated_conjecture,
    ( iPr_def_28
    | hskp23
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_19482,negated_conjecture,
    ( iPr_def_16
    | hskp11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_19485,negated_conjecture,
    ( iPr_def_31
    | hskp21
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

tcf(c_19486,negated_conjecture,
    ( iPr_def_31
    | hskp15
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_19487,negated_conjecture,
    ( iPr_def_29
    | hskp17
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_19490,negated_conjecture,
    ( iPr_def_18
    | hskp27
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_19491,negated_conjecture,
    ( iPr_def_18
    | hskp22
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_19492,negated_conjecture,
    ( iPr_def_18
    | hskp20
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_19500,negated_conjecture,
    ( iPr_def_21
    | hskp21
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_19509,negated_conjecture,
    ( iPr_def_24
    | hskp4
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_19513,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_19409]) ).

tcf(c_19517,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_19413]) ).

tcf(c_19521,negated_conjecture,
    ( iPr_def_16
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_19415]) ).

tcf(c_19525,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_19419]) ).

tcf(c_19526,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_19
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19418]) ).

tcf(c_19529,negated_conjecture,
    ( iPr_def_20
    | iPr_def_17
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_19421]) ).

tcf(c_19533,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_19424]) ).

tcf(c_19537,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_19428]) ).

tcf(c_19541,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_19431]) ).

tcf(c_19544,negated_conjecture,
    ( iPr_def_27
    | iPr_def_15
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_19432]) ).

tcf(c_19547,negated_conjecture,
    ( iPr_def_28
    | iPr_def_12
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_19434]) ).

tcf(c_19550,negated_conjecture,
    ( iPr_def_29
    | iPr_def_13
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_19436]) ).

tcf(c_19553,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_19438]) ).

tcf(c_19554,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19430]) ).

tcf(c_19556,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_19440]) ).

tcf(c_19559,negated_conjecture,
    ( iPr_def_32
    | iPr_def_22
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_19442]) ).

tcf(c_19562,negated_conjecture,
    ( iPr_def_33
    | iPr_def_22
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_19444]) ).

tcf(c_19571,negated_conjecture,
    ( iPr_def_20
    | iPr_def_13
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_19447]) ).

tcf(c_19574,negated_conjecture,
    ( iPr_def_34
    | iPr_def_25
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_19449]) ).

tcf(c_19577,negated_conjecture,
    ( iPr_def_35
    | iPr_def_16
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_19451]) ).

tcf(c_19580,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_19452]) ).

tcf(c_19583,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_19453]) ).

tcf(c_19586,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_19454]) ).

tcf(c_19589,negated_conjecture,
    ( iPr_def_31
    | iPr_def_14
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_19455]) ).

tcf(c_19592,negated_conjecture,
    ( iPr_def_23
    | iPr_def_18
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_19456]) ).

tcf(c_19598,negated_conjecture,
    ( iPr_def_24
    | iPr_def_22
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_19459]) ).

tcf(c_19601,negated_conjecture,
    ( iPr_def_37
    | iPr_def_25
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_19461]) ).

tcf(c_19606,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_19450]) ).

tcf(c_19607,negated_conjecture,
    ( iPr_def_39
    | iPr_def_21
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_19465]) ).

tcf(c_19610,negated_conjecture,
    ( iPr_def_40
    | iPr_def_34
    | hskp26 ),
    inference(demodulation,[status(thm)],[c_19467]) ).

tcf(c_19611,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_34
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19448]) ).

tcf(c_19613,negated_conjecture,
    ( iPr_def_38
    | iPr_def_14
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_19468]) ).

tcf(c_19614,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_38
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19462]) ).

tcf(c_19615,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_19411]) ).

tcf(c_19616,negated_conjecture,
    ( iPr_def_37
    | iPr_def_24
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_19469]) ).

tcf(c_19619,negated_conjecture,
    ( iPr_def_40
    | iPr_def_30
    | hskp26 ),
    inference(demodulation,[status(thm)],[c_19470]) ).

tcf(c_19621,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_40 ),
    inference(demodulation,[status(thm)],[c_19466]) ).

tcf(c_19625,negated_conjecture,
    ( iPr_def_12
    | hskp29
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_19472]) ).

tcf(c_19628,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19408]) ).

tcf(c_19629,negated_conjecture,
    ( iPr_def_13
    | hskp12
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_19474]) ).

tcf(c_19630,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19410]) ).

tcf(c_19631,negated_conjecture,
    ( iPr_def_26
    | hskp10
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_19475]) ).

tcf(c_19632,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19429]) ).

tcf(c_19633,negated_conjecture,
    ( iPr_def_15
    | hskp19
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_19476]) ).

tcf(c_19634,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19412]) ).

tcf(c_19635,negated_conjecture,
    ( iPr_def_22
    | hskp20
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_19477]) ).

tcf(c_19636,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19423]) ).

tcf(c_19637,negated_conjecture,
    ( iPr_def_11
    | hskp10
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_19478]) ).

tcf(c_19638,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_19407]) ).

tcf(c_19639,negated_conjecture,
    ( iPr_def_28
    | hskp23
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_19479]) ).

tcf(c_19640,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_28
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19433]) ).

tcf(c_19642,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_17
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_19416]) ).

tcf(c_19645,negated_conjecture,
    ( iPr_def_16
    | hskp11
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_19482]) ).

tcf(c_19646,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19414]) ).

tcf(c_19651,negated_conjecture,
    ( iPr_def_31
    | hskp21
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_19485]) ).

tcf(c_19653,negated_conjecture,
    ( iPr_def_31
    | hskp15
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_19486]) ).

tcf(c_19654,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_31
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19439]) ).

tcf(c_19655,negated_conjecture,
    ( iPr_def_29
    | hskp17
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_19487]) ).

tcf(c_19656,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_29
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19435]) ).

tcf(c_19660,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19441]) ).

tcf(c_19661,negated_conjecture,
    ( iPr_def_18
    | hskp27
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_19490]) ).

tcf(c_19663,negated_conjecture,
    ( iPr_def_18
    | hskp22
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_19491]) ).

tcf(c_19665,negated_conjecture,
    ( iPr_def_18
    | hskp20
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_19492]) ).

tcf(c_19666,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19417]) ).

tcf(c_19670,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19443]) ).

tcf(c_19674,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_10
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_19406]) ).

tcf(c_19676,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_30
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_19437]) ).

tcf(c_19678,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_25
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_19427]) ).

tcf(c_19680,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_39
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_19464]) ).

tcf(c_19681,negated_conjecture,
    ( iPr_def_21
    | hskp21
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_19500]) ).

tcf(c_19686,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_21
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19422]) ).

tcf(c_19688,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_37
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_19460]) ).

tcf(c_19690,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_23
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_19425]) ).

tcf(c_19697,negated_conjecture,
    ( iPr_def_24
    | hskp4
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_19509]) ).

tcf(c_19698,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_24 ),
    inference(demodulation,[status(thm)],[c_19426]) ).

tcf(c_19704,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_19420]) ).

tcf(c_19819,plain,
    ( c3_1(a583)
    | ~ iPr_def_18
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_19825,plain,
    ( c3_1(a583)
    | ~ iPr_def_32
    | ~ c0_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_19660]) ).

tcf(c_19826,plain,
    ( c3_1(a583)
    | ~ iPr_def_33
    | ~ c2_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_19670]) ).

tcf(c_19828,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a583)
    | ~ c0_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_19628]) ).

tcf(c_19829,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ c0_1(a583) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19830,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ c1_1(a583) ),
    inference(instantiation,[status(thm)],[c_19554]) ).

tcf(c_19833,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a598)
    | ~ c2_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19834,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a599)
    | ~ c2_1(a599)
    | ~ c0_1(a599) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19838,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a611)
    | ~ c2_1(a611)
    | ~ c0_1(a611) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19841,plain,
    ( c1_1(a598)
    | ~ iPr_def_17
    | ~ c3_1(a598)
    | ~ c2_1(a598) ),
    inference(instantiation,[status(thm)],[c_19642]) ).

tcf(c_19842,plain,
    ( c1_1(a599)
    | ~ iPr_def_17
    | ~ c3_1(a599)
    | ~ c2_1(a599) ),
    inference(instantiation,[status(thm)],[c_19642]) ).

tcf(c_19850,plain,
    ( c0_1(a595)
    | c1_1(a595)
    | ~ iPr_def_10
    | ~ c2_1(a595) ),
    inference(instantiation,[status(thm)],[c_19674]) ).

tcf(c_19857,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ iPr_def_25
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19678]) ).

tcf(c_19865,plain,
    ( c3_1(a601)
    | c2_1(a601)
    | c0_1(a601)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19704]) ).

tcf(c_19866,plain,
    ( c3_1(a606)
    | c2_1(a606)
    | c0_1(a606)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19704]) ).

tcf(c_19875,plain,
    ( c2_1(a598)
    | c1_1(a598)
    | ~ iPr_def_14
    | ~ c3_1(a598) ),
    inference(instantiation,[status(thm)],[c_19615]) ).

tcf(c_19877,plain,
    ( c2_1(a601)
    | c1_1(a601)
    | ~ iPr_def_14
    | ~ c3_1(a601) ),
    inference(instantiation,[status(thm)],[c_19615]) ).

tcf(c_19885,plain,
    ( c0_1(a604)
    | ~ iPr_def_22
    | ~ c3_1(a604)
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19636]) ).

tcf(c_19889,plain,
    ( c0_1(a585)
    | ~ iPr_def_11
    | ~ c3_1(a585)
    | ~ c2_1(a585) ),
    inference(instantiation,[status(thm)],[c_19638]) ).

tcf(c_19893,plain,
    ( c0_1(a604)
    | ~ iPr_def_11
    | ~ c3_1(a604)
    | ~ c2_1(a604) ),
    inference(instantiation,[status(thm)],[c_19638]) ).

tcf(c_19900,plain,
    ( c3_1(a600)
    | ~ iPr_def_18
    | ~ c2_1(a600)
    | ~ c0_1(a600) ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_19901,plain,
    ( c3_1(a603)
    | ~ iPr_def_18
    | ~ c2_1(a603)
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_19911,plain,
    ( c0_1(a585)
    | ~ iPr_def_15
    | ~ c2_1(a585)
    | ~ c1_1(a585) ),
    inference(instantiation,[status(thm)],[c_19634]) ).

tcf(c_19913,plain,
    ( c0_1(a592)
    | ~ iPr_def_15
    | ~ c2_1(a592)
    | ~ c1_1(a592) ),
    inference(instantiation,[status(thm)],[c_19634]) ).

tcf(c_19916,plain,
    ( c0_1(a604)
    | ~ iPr_def_15
    | ~ c2_1(a604)
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19634]) ).

tcf(c_19926,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a587)
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_19934,plain,
    ( c3_1(a584)
    | c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19704]) ).

tcf(c_19935,plain,
    ( c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_25
    | ~ c1_1(a584) ),
    inference(instantiation,[status(thm)],[c_19678]) ).

tcf(c_19936,plain,
    ( c1_1(a587)
    | ~ iPr_def_34
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_19938,plain,
    ( c1_1(a598)
    | ~ iPr_def_34
    | ~ c2_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19611]) ).

tcf(c_19951,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a611)
    | ~ c0_1(a611)
    | ~ c1_1(a611) ),
    inference(instantiation,[status(thm)],[c_19628]) ).

tcf(c_19954,plain,
    ( c2_1(a593)
    | ~ iPr_def_31
    | ~ c3_1(a593)
    | ~ c0_1(a593) ),
    inference(instantiation,[status(thm)],[c_19654]) ).

tcf(c_19972,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ iPr_def_30
    | ~ c3_1(a599) ),
    inference(instantiation,[status(thm)],[c_19676]) ).

tcf(c_19976,plain,
    ( c0_1(a636)
    | c1_1(a636)
    | ~ iPr_def_30
    | ~ c3_1(a636) ),
    inference(instantiation,[status(thm)],[c_19676]) ).

tcf(c_19984,plain,
    ( c3_1(a606)
    | c2_1(a606)
    | ~ iPr_def_23
    | ~ c0_1(a606) ),
    inference(instantiation,[status(thm)],[c_19690]) ).

tcf(c_19986,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | ~ iPr_def_23
    | ~ c0_1(a623) ),
    inference(instantiation,[status(thm)],[c_19690]) ).

tcf(c_19987,plain,
    ( c3_1(a629)
    | c2_1(a629)
    | ~ iPr_def_23
    | ~ c0_1(a629) ),
    inference(instantiation,[status(thm)],[c_19690]) ).

tcf(c_19989,plain,
    ( c2_1(a598)
    | ~ iPr_def_31
    | ~ c3_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19654]) ).

tcf(c_19993,plain,
    ( c2_1(a611)
    | ~ iPr_def_31
    | ~ c3_1(a611)
    | ~ c0_1(a611) ),
    inference(instantiation,[status(thm)],[c_19654]) ).

tcf(c_20004,plain,
    ( c3_1(a586)
    | c0_1(a586)
    | ~ iPr_def_19
    | ~ c1_1(a586) ),
    inference(instantiation,[status(thm)],[c_19526]) ).

tcf(c_20005,plain,
    ( c3_1(a592)
    | c0_1(a592)
    | ~ iPr_def_19
    | ~ c1_1(a592) ),
    inference(instantiation,[status(thm)],[c_19526]) ).

tcf(c_20011,plain,
    ( c3_1(a633)
    | c0_1(a633)
    | ~ iPr_def_19
    | ~ c1_1(a633) ),
    inference(instantiation,[status(thm)],[c_19526]) ).

tcf(c_20015,plain,
    ( c3_1(a587)
    | ~ iPr_def_18
    | ~ c2_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19666]) ).

tcf(c_20031,plain,
    ( c2_1(a584)
    | c0_1(a584)
    | ~ iPr_def_35
    | ~ c3_1(a584) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_20033,plain,
    ( c2_1(a593)
    | c0_1(a593)
    | ~ iPr_def_35
    | ~ c3_1(a593) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_20041,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a593)
    | ~ c0_1(a593)
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19628]) ).

tcf(c_20062,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | c1_1(a623)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_19621]) ).

tcf(c_20069,plain,
    ( c3_1(a603)
    | c1_1(a603)
    | ~ iPr_def_37
    | ~ c2_1(a603) ),
    inference(instantiation,[status(thm)],[c_19688]) ).

tcf(c_20072,plain,
    ( c3_1(a587)
    | c1_1(a587)
    | ~ iPr_def_37
    | ~ c2_1(a587) ),
    inference(instantiation,[status(thm)],[c_19688]) ).

tcf(c_20074,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a586)
    | ~ c0_1(a586)
    | ~ c1_1(a586) ),
    inference(instantiation,[status(thm)],[c_19554]) ).

tcf(c_20083,plain,
    ( c3_1(a592)
    | c0_1(a592)
    | c1_1(a592)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19698]) ).

tcf(c_20084,plain,
    ( c3_1(a595)
    | c0_1(a595)
    | c1_1(a595)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19698]) ).

tcf(c_20095,plain,
    ( c2_1(a607)
    | c1_1(a607)
    | ~ iPr_def_14
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_19615]) ).

tcf(c_20100,plain,
    ( c2_1(a607)
    | ~ iPr_def_31
    | ~ c3_1(a607)
    | ~ c0_1(a607) ),
    inference(instantiation,[status(thm)],[c_19654]) ).

tcf(c_20107,plain,
    ( c3_1(a603)
    | c2_1(a603)
    | c1_1(a603)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_19621]) ).

tcf(c_20110,plain,
    ( c3_1(a603)
    | c2_1(a603)
    | ~ iPr_def_23
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19690]) ).

tcf(c_20130,plain,
    ( c2_1(a593)
    | ~ iPr_def_16
    | ~ c0_1(a593)
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19646]) ).

tcf(c_20163,plain,
    ( c3_1(a595)
    | c2_1(a595)
    | c0_1(a595)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19704]) ).

tcf(c_20180,plain,
    ( c2_1(a593)
    | ~ iPr_def_29
    | ~ c3_1(a593)
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19656]) ).

tcf(c_20187,plain,
    ( c2_1(a607)
    | c1_1(a607)
    | ~ iPr_def_21
    | ~ c0_1(a607) ),
    inference(instantiation,[status(thm)],[c_19686]) ).

tcf(c_20189,plain,
    ( c2_1(a623)
    | c1_1(a623)
    | ~ iPr_def_21
    | ~ c0_1(a623) ),
    inference(instantiation,[status(thm)],[c_19686]) ).

tcf(c_20220,plain,
    ( c3_1(a603)
    | c1_1(a603)
    | ~ iPr_def_38
    | ~ c0_1(a603) ),
    inference(instantiation,[status(thm)],[c_19614]) ).

tcf(c_20261,plain,
    ( c0_1(a593)
    | ~ iPr_def_22
    | ~ c3_1(a593)
    | ~ c1_1(a593) ),
    inference(instantiation,[status(thm)],[c_19636]) ).

tcf(c_20273,plain,
    ( c3_1(a585)
    | c0_1(a585)
    | ~ iPr_def_19
    | ~ c1_1(a585) ),
    inference(instantiation,[status(thm)],[c_19526]) ).

tcf(c_20287,plain,
    ( c3_1(a586)
    | ~ iPr_def_33
    | ~ c2_1(a586)
    | ~ c1_1(a586) ),
    inference(instantiation,[status(thm)],[c_19670]) ).

tcf(c_20303,plain,
    ( c2_1(a604)
    | ~ iPr_def_29
    | ~ c3_1(a604)
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19656]) ).

tcf(c_20308,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ iPr_def_35
    | ~ c3_1(a604) ),
    inference(instantiation,[status(thm)],[c_19606]) ).

tcf(c_20313,plain,
    ( c2_1(a604)
    | c0_1(a604)
    | ~ iPr_def_25
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19678]) ).

tcf(c_20324,plain,
    ( c3_1(a633)
    | c2_1(a633)
    | c0_1(a633)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_19704]) ).

tcf(c_20362,plain,
    ( c2_1(a588)
    | c1_1(a588)
    | ~ iPr_def_21
    | ~ c0_1(a588) ),
    inference(instantiation,[status(thm)],[c_19686]) ).

tcf(c_20364,plain,
    ( c2_1(a598)
    | c1_1(a598)
    | ~ iPr_def_21
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19686]) ).

tcf(c_20382,plain,
    ( c0_1(a599)
    | ~ iPr_def_11
    | ~ c3_1(a599)
    | ~ c2_1(a599) ),
    inference(instantiation,[status(thm)],[c_19638]) ).

tcf(c_20438,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a678)
    | ~ c2_1(a678)
    | ~ c0_1(a678) ),
    inference(instantiation,[status(thm)],[c_19630]) ).

tcf(c_20453,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ iPr_def_10
    | ~ c2_1(a599) ),
    inference(instantiation,[status(thm)],[c_19674]) ).

tcf(c_20454,plain,
    ( c0_1(a617)
    | c1_1(a617)
    | ~ iPr_def_10
    | ~ c2_1(a617) ),
    inference(instantiation,[status(thm)],[c_19674]) ).

tcf(c_20461,plain,
    ( c3_1(a592)
    | c0_1(a592)
    | ~ iPr_def_39
    | ~ c2_1(a592) ),
    inference(instantiation,[status(thm)],[c_19680]) ).

tcf(c_20464,plain,
    ( c3_1(a633)
    | c0_1(a633)
    | ~ iPr_def_39
    | ~ c2_1(a633) ),
    inference(instantiation,[status(thm)],[c_19680]) ).

tcf(c_20552,plain,
    ( c3_1(a623)
    | c0_1(a623)
    | c1_1(a623)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_19698]) ).

tcf(c_20564,plain,
    ( c1_1(a587)
    | ~ iPr_def_28
    | ~ c3_1(a587)
    | ~ c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_19640]) ).

tcf(c_20566,plain,
    ( c1_1(a598)
    | ~ iPr_def_28
    | ~ c3_1(a598)
    | ~ c0_1(a598) ),
    inference(instantiation,[status(thm)],[c_19640]) ).

tcf(c_20567,plain,
    ( c1_1(a599)
    | ~ iPr_def_28
    | ~ c3_1(a599)
    | ~ c0_1(a599) ),
    inference(instantiation,[status(thm)],[c_19640]) ).

tcf(c_20824,plain,
    ( ~ iPr_def_26
    | ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ c1_1(a604) ),
    inference(instantiation,[status(thm)],[c_19632]) ).

tcf(c_20829,plain,
    ( ~ iPr_def_26
    | ~ c3_1(a611)
    | ~ c2_1(a611)
    | ~ c1_1(a611) ),
    inference(instantiation,[status(thm)],[c_19632]) ).

tcf(c_20830,plain,
    ( ~ iPr_def_26
    | ~ c3_1(a612)
    | ~ c2_1(a612)
    | ~ c1_1(a612) ),
    inference(instantiation,[status(thm)],[c_19632]) ).

tcf(c_20865,plain,
    ( c2_1(a606)
    | ~ iPr_def_16
    | ~ c0_1(a606)
    | ~ c1_1(a606) ),
    inference(instantiation,[status(thm)],[c_19646]) ).

tcf(c_20915,plain,
    ( c0_1(a607)
    | c1_1(a607)
    | ~ iPr_def_30
    | ~ c3_1(a607) ),
    inference(instantiation,[status(thm)],[c_19676]) ).

tcf(c_20954,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20915,c_20865,c_20830,c_20829,c_20824,c_20567,c_20566,c_20564,c_20552,c_20464,c_20461,c_20454,c_20453,c_20438,c_20382,c_20364,c_20362,c_20324,c_20303,c_20308,c_20313,c_20287,c_20273,c_20261,c_20220,c_20189,c_20187,c_20180,c_20163,c_20130,c_20107,c_20110,c_20095,c_20100,c_20084,c_20083,c_20074,c_20072,c_20069,c_20062,c_20041,c_20033,c_20031,c_20015,c_20011,c_20005,c_20004,c_19993,c_19989,c_19987,c_19986,c_19984,c_19976,c_19972,c_19954,c_19951,c_19938,c_19936,c_19934,c_19935,c_19926,c_19916,c_19913,c_19911,c_19901,c_19900,c_19893,c_19889,c_19885,c_19877,c_19875,c_19866,c_19865,c_19857,c_19850,c_19842,c_19841,c_19838,c_19834,c_19833,c_19830,c_19829,c_19828,c_19826,c_19825,c_19819,c_19697,c_19681,c_19665,c_19663,c_19661,c_19655,c_19653,c_19651,c_19645,c_19639,c_19637,c_19635,c_19633,c_19631,c_19629,c_19625,c_19619,c_19616,c_19613,c_19610,c_19607,c_19601,c_19598,c_19592,c_19589,c_19586,c_19583,c_19580,c_19577,c_19574,c_19571,c_19562,c_19559,c_19556,c_19553,c_19550,c_19547,c_19544,c_19541,c_19537,c_19533,c_19529,c_19525,c_19521,c_19517,c_19513,c_8097,c_8074,c_8051,c_7536,c_7526,c_7516,c_7509,c_7502,c_7495,c_7170,c_7163,c_7156,c_51,c_52,c_56,c_60,c_64,c_67,c_68,c_79,c_80,c_84,c_86,c_87,c_88,c_92,c_96,c_100,c_102,c_103,c_104,c_107,c_108,c_112,c_115,c_116,c_119,c_120,c_127,c_128,c_130,c_131,c_132,c_135,c_136,c_139,c_140,c_143,c_144,c_50,c_54,c_55,c_58,c_59,c_62,c_63,c_66,c_78,c_82,c_83,c_90,c_91,c_94,c_95,c_98,c_99,c_106,c_110,c_111,c_114,c_118,c_126,c_134,c_138,c_142,c_154,c_155,c_156,c_158,c_159,c_160,c_162,c_163,c_164,c_166,c_167,c_168,c_244,c_245]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN507+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n004.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 01:36:10 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 4.91/1.73  % SZS status Started for theBenchmark.p
% 4.91/1.73  % SZS status Theorem for theBenchmark.p
% 4.91/1.73  
% 4.91/1.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.91/1.73  
% 4.91/1.73  % ------  iProver source info
% 4.91/1.73  
% 4.91/1.73  % git: date: 2026-07-19 20:42:38 +0200
% 4.91/1.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.91/1.73  % git: non_committed_changes: false
% 4.91/1.73  
% 4.91/1.73  % ------ Parsing...
% 4.91/1.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.91/1.73  % 
% 4.91/1.73  
% 4.91/1.73  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.91/1.73  
% 4.91/1.73  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.91/1.73   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.91/1.73  % ------ Proving...
% 4.91/1.73  % ------ Problem Properties 
% 4.91/1.73  
% 4.91/1.73  % 
% 4.91/1.73  % clauses                               202
% 4.91/1.73  % conjectures                           202
% 4.91/1.73  % EPR                                   202
% 4.91/1.73  % Horn                                  106
% 4.91/1.73  % unary                                 0
% 4.91/1.73  % binary                                91
% 4.91/1.73  % lits                                  547
% 4.91/1.73  % lits eq                               0
% 4.91/1.73  % fd_pure                               0
% 4.91/1.73  % fd_pseudo                             0
% 4.91/1.73  % fd_cond                               0
% 4.91/1.73  % fd_pseudo_cond                        0
% 4.91/1.73  % AC symbols                            0
% 4.91/1.73  
% 4.91/1.73  % ------ Schedule EPR non Horn non eq is on
% 4.91/1.73  
% 4.91/1.73  % ------ no equalities: superposition off 
% 4.91/1.73  
% 4.91/1.73  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.91/1.73  
% 4.91/1.73  
% 4.91/1.73  % ------ 
% 4.91/1.73  % Current options:
% 4.91/1.73  % ------ 
% 4.91/1.73  
% 4.91/1.73  
% 4.91/1.73  % 
% 4.91/1.73  
% 4.91/1.73  % ------ Proving...
% 4.91/1.73  % 
% 4.91/1.73  
% 4.91/1.73  % SZS status Theorem for theBenchmark.p
% 4.91/1.73  
% 4.91/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.91/1.74  
% 4.91/1.74  
%------------------------------------------------------------------------------