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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

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

% Result   : Theorem 2.30s 11.29s
% Output   : CNFRefutation 4.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f199ERROR: Could not build tree for root c_16902ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp25
        | hskp24 )
      & ( hskp7
        | hskp21
        | hskp4 )
      & ( hskp12
        | hskp14
        | hskp22 )
      & ( hskp26
        | hskp7
        | hskp27 )
      & ( hskp14
        | hskp6
        | hskp27 )
      & ( hskp20
        | hskp18
        | hskp23 )
      & ( hskp26
        | hskp3
        | hskp29 )
      & ( hskp5
        | hskp12
        | hskp29 )
      & ( hskp13
        | hskp23
        | hskp29 )
      & ( hskp19
        | hskp26
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp3
        | hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp7
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | ~ c1_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp12
        | hskp9
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp4
        | hskp23
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp17
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp19
        | hskp4
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp22
        | hskp6
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c1_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp3
        | hskp23
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp13
        | hskp6
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp26
        | hskp8
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp6
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp25
        | hskp3
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | c3_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp15
        | hskp24
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp23
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp22
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp6
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp21
        | hskp29
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp10
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c1_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp20
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp19
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp18
        | hskp10
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp8
        | hskp28
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp17
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp12
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp13
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp15
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp8
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp13
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp1
        | hskp2
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp11
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c0_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | hskp6
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp6
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp7
        | hskp8
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp8
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp4
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp7
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp0
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c0_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c3_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a1040)
          & c1_1(a1040)
          & c0_1(a1040)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a1033)
          & c1_1(a1033)
          & c0_1(a1033)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1029)
          & c2_1(a1029)
          & c0_1(a1029)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1052)
          & ~ c0_1(a1052)
          & c3_1(a1052)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a1048)
          & ~ c0_1(a1048)
          & c1_1(a1048)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a1045)
          & c3_1(a1045)
          & c1_1(a1045)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1044)
          & c1_1(a1044)
          & c0_1(a1044)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a1043)
          & ~ c1_1(a1043)
          & c0_1(a1043)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a1041)
          & ~ c0_1(a1041)
          & c2_1(a1041)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a1038)
          & ~ c1_1(a1038)
          & ~ c0_1(a1038)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1037)
          & ~ c1_1(a1037)
          & ~ c0_1(a1037)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a1036)
          & c3_1(a1036)
          & c1_1(a1036)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a1032)
          & c3_1(a1032)
          & c2_1(a1032)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1030)
          & ~ c2_1(a1030)
          & c1_1(a1030)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a1026)
          & ~ c0_1(a1026)
          & c2_1(a1026)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1025)
          & ~ c2_1(a1025)
          & c0_1(a1025)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a1023)
          & ~ c1_1(a1023)
          & c3_1(a1023)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a1019)
          & c2_1(a1019)
          & c1_1(a1019)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1015)
          & ~ c0_1(a1015)
          & c3_1(a1015)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a1012)
          & ~ c1_1(a1012)
          & c0_1(a1012)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a1011)
          & c1_1(a1011)
          & c0_1(a1011)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1010)
          & c3_1(a1010)
          & c0_1(a1010)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a1008)
          & ~ c1_1(a1008)
          & c2_1(a1008)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1006)
          & c3_1(a1006)
          & c0_1(a1006)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1005)
          & ~ c2_1(a1005)
          & ~ c1_1(a1005)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a1004)
          & c2_1(a1004)
          & c1_1(a1004)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1003)
          & ~ c0_1(a1003)
          & c1_1(a1003)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a1002)
          & c2_1(a1002)
          & c0_1(a1002)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a1001)
          & c3_1(a1001)
          & c2_1(a1001)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1000)
          & c2_1(a1000)
          & c0_1(a1000)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp25
          | hskp24 )
        & ( hskp7
          | hskp21
          | hskp4 )
        & ( hskp12
          | hskp14
          | hskp22 )
        & ( hskp26
          | hskp7
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp27 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp26
          | hskp3
          | hskp29 )
        & ( hskp5
          | hskp12
          | hskp29 )
        & ( hskp13
          | hskp23
          | hskp29 )
        & ( hskp19
          | hskp26
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp3
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp7
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | ~ c1_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp12
          | hskp9
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp4
          | hskp23
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp17
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp19
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp22
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c1_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp3
          | hskp23
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp13
          | hskp6
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp26
          | hskp8
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp6
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp25
          | hskp3
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | c3_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp15
          | hskp24
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp23
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp22
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp6
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp21
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp10
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp20
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp19
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp18
          | hskp10
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp8
          | hskp28
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp17
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp12
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp13
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp15
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp8
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp13
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp1
          | hskp2
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp11
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | hskp6
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp6
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp7
          | hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp8
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp4
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp7
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp0
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a1040)
            & c1_1(a1040)
            & c0_1(a1040)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1029)
            & c2_1(a1029)
            & c0_1(a1029)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1052)
            & ~ c0_1(a1052)
            & c3_1(a1052)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a1048)
            & ~ c0_1(a1048)
            & c1_1(a1048)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a1045)
            & c3_1(a1045)
            & c1_1(a1045)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1044)
            & c1_1(a1044)
            & c0_1(a1044)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a1043)
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a1041)
            & ~ c0_1(a1041)
            & c2_1(a1041)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a1038)
            & ~ c1_1(a1038)
            & ~ c0_1(a1038)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1037)
            & ~ c1_1(a1037)
            & ~ c0_1(a1037)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a1036)
            & c3_1(a1036)
            & c1_1(a1036)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a1032)
            & c3_1(a1032)
            & c2_1(a1032)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & c1_1(a1030)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1026)
            & ~ c0_1(a1026)
            & c2_1(a1026)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1025)
            & ~ c2_1(a1025)
            & c0_1(a1025)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1023)
            & ~ c1_1(a1023)
            & c3_1(a1023)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a1019)
            & c2_1(a1019)
            & c1_1(a1019)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1015)
            & ~ c0_1(a1015)
            & c3_1(a1015)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a1012)
            & ~ c1_1(a1012)
            & c0_1(a1012)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a1011)
            & c1_1(a1011)
            & c0_1(a1011)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1010)
            & c3_1(a1010)
            & c0_1(a1010)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a1008)
            & ~ c1_1(a1008)
            & c2_1(a1008)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1006)
            & c3_1(a1006)
            & c0_1(a1006)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1005)
            & ~ c2_1(a1005)
            & ~ c1_1(a1005)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a1004)
            & c2_1(a1004)
            & c1_1(a1004)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1003)
            & ~ c0_1(a1003)
            & c1_1(a1003)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a1002)
            & c2_1(a1002)
            & c0_1(a1002)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a1001)
            & c3_1(a1001)
            & c2_1(a1001)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1000)
            & c2_1(a1000)
            & c0_1(a1000)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | ~ c2_1(X115)
            | ~ c0_1(X115) ) ) )
    & ( hskp3
      | hskp24
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) ) )
    & ( hskp7
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | ~ c1_1(X113)
            | ~ c0_1(X113) ) ) )
    & ( hskp12
      | hskp9
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp4
      | hskp23
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | c3_1(X111) ) ) )
    & ( hskp17
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | ~ c0_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) ) )
    & ( hskp19
      | hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c0_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp22
      | hskp6
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c1_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp3
      | hskp23
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c0_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp13
      | hskp6
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c0_1(X105)
            | c2_1(X105) ) ) )
    & ( hskp26
      | hskp8
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp6
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp15
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c0_1(X101)
            | c3_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c3_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp25
      | hskp3
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c1_1(X98)
            | c3_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | c1_1(X96) ) ) )
    & ( hskp15
      | hskp24
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c0_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp23
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp22
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c3_1(X90)
            | c2_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp6
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp21
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp10
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c1_1(X85)
            | c3_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp20
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp19
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp18
      | hskp10
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp8
      | hskp28
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp17
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp12
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp16
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp27
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp13
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp9
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp15
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c1_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c0_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp14
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c0_1(X60)
            | c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp8
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp13
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp1
      | hskp2
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp11
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c2_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c0_1(X50)
            | c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp12
      | hskp6
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp6
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c3_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp7
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | c3_1(X42)
            | c1_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c3_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp11
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c3_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp7
      | hskp8
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp10
      | hskp9
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp8
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp4
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp7
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp0
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c1_1(X27)
            | c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp6
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c2_1(X21)
            | c0_1(X21) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp5
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c3_1(X15)
            | c1_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c2_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp4
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp3
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c1_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c2_1(X5)
            | c1_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | c2_1(X2)
            | c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c2_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp3
      | hskp24
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp7
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp12
      | hskp9
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp4
      | hskp23
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | c3_1(X111) ) )
    & ( hskp17
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp19
      | hskp4
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp22
      | hskp6
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107) ) )
    & ( hskp3
      | hskp23
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( hskp13
      | hskp6
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105) ) )
    & ( hskp26
      | hskp8
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104) ) )
    & ( hskp6
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102) ) )
    & ( hskp15
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | c3_1(X100)
          | c2_1(X100) ) )
    & ( hskp25
      | hskp3
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96) ) )
    & ( hskp15
      | hskp24
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95) ) )
    & ( hskp23
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp22
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp6
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp21
      | hskp29
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c1_1(X86) ) )
    & ( hskp10
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84) ) )
    & ( hskp20
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82) ) )
    & ( hskp19
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp18
      | hskp10
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp8
      | hskp28
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp17
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp12
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp27
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp13
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp9
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp15
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c1_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp14
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp8
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp13
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp1
      | hskp2
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp11
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp12
      | hskp6
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp6
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp7
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | c3_1(X42)
          | c1_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38) ) )
    & ( hskp11
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c3_1(X36)
          | c0_1(X36) ) )
    & ( hskp7
      | hskp8
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp10
      | hskp9
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp8
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp4
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp7
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp0
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp5
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c3_1(X15)
          | c1_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c2_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c2_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | c2_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp25
      | hskp24 )
    & ( hskp7
      | hskp21
      | hskp4 )
    & ( hskp12
      | hskp14
      | hskp22 )
    & ( hskp26
      | hskp7
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp27 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp26
      | hskp3
      | hskp29 )
    & ( hskp5
      | hskp12
      | hskp29 )
    & ( hskp13
      | hskp23
      | hskp29 )
    & ( hskp19
      | hskp26
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c2_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp3
      | hskp24
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp7
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | ~ c1_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp12
      | hskp9
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp4
      | hskp23
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | c3_1(X111) ) )
    & ( hskp17
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp19
      | hskp4
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp22
      | hskp6
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c1_1(X107)
          | c2_1(X107) ) )
    & ( hskp3
      | hskp23
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c3_1(X106)
          | ~ c0_1(X106)
          | c2_1(X106) ) )
    & ( hskp13
      | hskp6
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | c2_1(X105) ) )
    & ( hskp26
      | hskp8
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104) ) )
    & ( hskp6
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102) ) )
    & ( hskp15
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | c3_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | c3_1(X100)
          | c2_1(X100) ) )
    & ( hskp25
      | hskp3
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | c3_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | c1_1(X96) ) )
    & ( hskp15
      | hskp24
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c0_1(X95)
          | c1_1(X95) ) )
    & ( hskp23
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp22
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | c3_1(X90)
          | c2_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp6
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp21
      | hskp29
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c1_1(X86) ) )
    & ( hskp10
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c1_1(X84) ) )
    & ( hskp20
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82) ) )
    & ( hskp19
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp18
      | hskp10
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp8
      | hskp28
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp17
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp12
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp27
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp13
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp9
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | c0_1(X66) ) )
    & ( hskp15
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c1_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp14
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp8
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp13
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp1
      | hskp2
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp11
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c2_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c0_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp12
      | hskp6
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp6
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp7
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | c3_1(X42)
          | c1_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38) ) )
    & ( hskp11
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c3_1(X36)
          | c0_1(X36) ) )
    & ( hskp7
      | hskp8
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp10
      | hskp9
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp8
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp4
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp7
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp0
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp5
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c3_1(X15)
          | c1_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c2_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c2_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | c2_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a1040)
        & c1_1(a1040)
        & c0_1(a1040)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a1033)
        & c1_1(a1033)
        & c0_1(a1033)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a1029)
        & c2_1(a1029)
        & c0_1(a1029)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a1052)
        & ~ c0_1(a1052)
        & c3_1(a1052)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a1048)
        & ~ c0_1(a1048)
        & c1_1(a1048)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a1045)
        & c3_1(a1045)
        & c1_1(a1045)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a1044)
        & c1_1(a1044)
        & c0_1(a1044)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a1043)
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a1041)
        & ~ c0_1(a1041)
        & c2_1(a1041)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a1038)
        & ~ c1_1(a1038)
        & ~ c0_1(a1038)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a1037)
        & ~ c1_1(a1037)
        & ~ c0_1(a1037)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a1036)
        & c3_1(a1036)
        & c1_1(a1036)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a1032)
        & c3_1(a1032)
        & c2_1(a1032)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a1030)
        & ~ c2_1(a1030)
        & c1_1(a1030)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a1026)
        & ~ c0_1(a1026)
        & c2_1(a1026)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a1025)
        & ~ c2_1(a1025)
        & c0_1(a1025)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a1023)
        & ~ c1_1(a1023)
        & c3_1(a1023)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a1019)
        & c2_1(a1019)
        & c1_1(a1019)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a1015)
        & ~ c0_1(a1015)
        & c3_1(a1015)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a1012)
        & ~ c1_1(a1012)
        & c0_1(a1012)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a1011)
        & c1_1(a1011)
        & c0_1(a1011)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a1010)
        & c3_1(a1010)
        & c0_1(a1010)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a1008)
        & ~ c1_1(a1008)
        & c2_1(a1008)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a1006)
        & c3_1(a1006)
        & c0_1(a1006)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a1005)
        & ~ c2_1(a1005)
        & ~ c1_1(a1005)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a1004)
        & c2_1(a1004)
        & c1_1(a1004)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a1003)
        & ~ c0_1(a1003)
        & c1_1(a1003)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a1002)
        & c2_1(a1002)
        & c0_1(a1002)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a1001)
        & c3_1(a1001)
        & c2_1(a1001)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1000)
        & c2_1(a1000)
        & c0_1(a1000)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp19
    | hskp25
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp21
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp12
    | hskp14
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp26
    | hskp7
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp14
    | hskp6
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp20
    | hskp18
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp26
    | hskp3
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp5
    | hskp12
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp13
    | hskp23
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X115] :
      ( hskp19
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X115)
      | ~ c2_1(X115)
      | ~ c0_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X114] :
      ( hskp3
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X114)
      | ~ c2_1(X114)
      | ~ c0_1(X114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X113] :
      ( hskp7
      | ~ ndr1_0
      | ~ c2_1(X113)
      | ~ c1_1(X113)
      | ~ c0_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X112] :
      ( hskp12
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | ~ c0_1(X112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X111] :
      ( hskp4
      | hskp23
      | ~ ndr1_0
      | ~ c2_1(X111)
      | ~ c1_1(X111)
      | c3_1(X111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X108] :
      ( hskp19
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X108)
      | ~ c0_1(X108)
      | c3_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X107] :
      ( hskp22
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X107)
      | ~ c1_1(X107)
      | c2_1(X107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X106] :
      ( hskp3
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X106)
      | ~ c0_1(X106)
      | c2_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X105] :
      ( hskp13
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X105)
      | ~ c0_1(X105)
      | c2_1(X105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X104] :
      ( hskp26
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X104)
      | ~ c0_1(X104)
      | c2_1(X104) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( hskp25
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X99)
      | c3_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X95] :
      ( hskp15
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c0_1(X95)
      | c1_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X94] :
      ( hskp23
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c0_1(X94)
      | c1_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X86] :
      ( hskp21
      | hskp29
      | ~ ndr1_0
      | ~ c0_1(X86)
      | c3_1(X86)
      | c1_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X79] :
      ( hskp18
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X79)
      | c2_1(X79)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X78] :
      ( hskp8
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X54] :
      ( hskp1
      | hskp2
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | c0_1(X54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X48] :
      ( hskp12
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X48)
      | c3_1(X48)
      | c0_1(X48) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X35] :
      ( hskp7
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X35)
      | c2_1(X35)
      | c0_1(X35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X34] :
      ( hskp10
      | hskp9
      | ~ ndr1_0
      | ~ c1_1(X34)
      | c2_1(X34)
      | c0_1(X34) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X3] :
      ( hskp1
      | hskp0
      | ~ ndr1_0
      | c2_1(X3)
      | c1_1(X3)
      | c0_1(X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c2_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ c0_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c0_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c1_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c0_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c0_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c2_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c0_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c2_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c1_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ c0_1(a1038)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c1_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c0_1(a1037)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c2_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c3_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c1_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c0_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c3_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c2_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c1_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c2_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c1_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c0_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c1_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c2_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c2_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ c1_1(a1005)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c2_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c0_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c1_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c1_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_51,negated_conjecture,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1000) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_54,negated_conjecture,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_55,negated_conjecture,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1001) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_59,negated_conjecture,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a1002) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a1003)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_66,negated_conjecture,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_67,negated_conjecture,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1004) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_69,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_70,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1005) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1005) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1005) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_75,negated_conjecture,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_78,negated_conjecture,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1008) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_83,negated_conjecture,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_87,negated_conjecture,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1011) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a1012)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1012) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1012) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_94,negated_conjecture,
    ( c3_1(a1015)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1015) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a1015) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_97,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_99,negated_conjecture,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_102,negated_conjecture,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1023) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1025) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1025) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a1030)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1030) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1030) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_118,negated_conjecture,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_119,negated_conjecture,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_123,negated_conjecture,
    ( c3_1(a1036)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1036) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_126,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1037) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1037) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1037) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_130,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a1038) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1038) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1038) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_134,negated_conjecture,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1041) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1041) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1043) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_143,negated_conjecture,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_147,negated_conjecture,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_150,negated_conjecture,
    ( c1_1(a1048)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1048) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_154,negated_conjecture,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1052) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1052) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_159,negated_conjecture,
    ( c2_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_164,negated_conjecture,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp10
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp21
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp3
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_232,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp13 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_233,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp5 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_234,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp3 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_235,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_236,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp6 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_237,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp7 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_238,negated_conjecture,
    ( hskp22
    | hskp14
    | hskp12 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_239,negated_conjecture,
    ( hskp21
    | hskp7
    | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_240,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_269,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_233,c_165,c_97,c_69]) ).

tcf(c_329,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_233,c_165,c_97,c_69,c_170]) ).

tcf(c_332,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_233,c_165,c_97,c_69,c_218]) ).

tcf(c_335,plain,
    ! [X0: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_233,c_165,c_97,c_69,c_215]) ).

tcf(c_336,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_335]) ).

tcf(c_338,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp21
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_233,c_165,c_97,c_69,c_211]) ).

tcf(c_341,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp10
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_233,c_165,c_97,c_69,c_207]) ).

tcf(c_344,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_233,c_165,c_97,c_69,c_206]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_233,c_165,c_97,c_69,c_194]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_233,c_165,c_97,c_69,c_191]) ).

tcf(c_353,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_233,c_165,c_97,c_69,c_185]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_233,c_165,c_97,c_69,c_184]) ).

tcf(c_359,plain,
    ! [X0: $i] :
      ( hskp7
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_233,c_165,c_97,c_69,c_229]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_359]) ).

tcf(c_362,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp4
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_233,c_165,c_97,c_69,c_227]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp4
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_362]) ).

tcf(c_365,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp4
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_233,c_165,c_97,c_69,c_225]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp4
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_365]) ).

tcf(c_368,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp6
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_224,c_269]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp6
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_368]) ).

tcf(c_371,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp3
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_233,c_165,c_97,c_69,c_223]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp3
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_371]) ).

tcf(c_374,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp6
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_233,c_165,c_97,c_69,c_222]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp6
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_374]) ).

tcf(c_377,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_233,c_165,c_97,c_69,c_221]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp8
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_377]) ).

tcf(c_380,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_233,c_165,c_97,c_69,c_216]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp15
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_380]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp19
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_233,c_165,c_97,c_69,c_231]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp19
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_233,c_165,c_97,c_69,c_230]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_233,c_165,c_97,c_69,c_228]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp9
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_233,c_165,c_97,c_69,c_171]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_233,c_165,c_97,c_69,c_203]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_233,c_165,c_97,c_69,c_201]) ).

tcf(c_400,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_233,c_165,c_97,c_69,c_209]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_403,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_233,c_165,c_97,c_69,c_205]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_405,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_233,c_165,c_97,c_69,c_204]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_405]) ).

tcf(c_407,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_233,c_165,c_97,c_69,c_202]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_407]) ).

tcf(c_409,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_233,c_165,c_97,c_69,c_188]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_409]) ).

tcf(c_411,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_233,c_165,c_97,c_69,c_183]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_413,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_233,c_165,c_97,c_69,c_182]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_415,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_233,c_165,c_97,c_69,c_181]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | 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_178,c_233,c_165,c_97,c_69,c_178]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_417]) ).

tcf(c_419,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_233,c_165,c_97,c_69,c_173]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_233,c_165,c_97,c_69,c_219]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_233,c_165,c_97,c_69,c_213]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_425,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_233,c_165,c_97,c_69,c_210]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_233,c_165,c_97,c_69,c_208]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_427]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_233,c_165,c_97,c_69,c_200]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_233,c_165,c_97,c_69,c_195]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_434,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_233,c_165,c_97,c_69,c_193]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_434]) ).

tcf(c_436,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_233,c_165,c_97,c_69,c_186]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_436]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_233,c_165,c_97,c_69,c_180]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_233,c_165,c_97,c_69,c_174]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_233,c_165,c_97,c_69,c_212]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_233,c_165,c_97,c_69,c_199]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_233,c_165,c_97,c_69,c_197]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_233,c_165,c_97,c_69,c_196]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_233,c_165,c_97,c_69,c_190]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_233,c_165,c_97,c_69,c_176]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_233,c_165,c_97,c_69,c_226]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_458,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_233,c_165,c_97,c_69,c_220]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_233,c_165,c_97,c_69,c_177]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_233,c_165,c_97,c_69,c_179]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_464,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_233,c_165,c_97,c_69,c_169]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_233,c_165,c_97,c_69,c_175]) ).

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

tcf(c_468,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_233,c_165,c_97,c_69,c_192]) ).

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

tcf(c_470,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_233,c_165,c_97,c_69,c_189]) ).

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

tcf(c_472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_233,c_165,c_97,c_69,c_187]) ).

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

tcf(c_474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_233,c_165,c_97,c_69,c_172]) ).

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

tcf(c_476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_233,c_165,c_97,c_69,c_217]) ).

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

tcf(c_478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_233,c_165,c_97,c_69,c_214]) ).

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

tcf(c_480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_233,c_165,c_97,c_69,c_198]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_15618,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_481]) ).

tcf(c_15619,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_481]) ).

tcf(c_15620,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_481]) ).

tcf(c_15621,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_15622,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_479]) ).

tcf(c_15623,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_479]) ).

tcf(c_15624,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_15625,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_477]) ).

tcf(c_15626,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_477]) ).

tcf(c_15627,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_477]) ).

tcf(c_15628,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_15629,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_475]) ).

tcf(c_15630,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_475]) ).

tcf(c_15631,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_15632,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_473]) ).

tcf(c_15633,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_473]) ).

tcf(c_15634,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_15635,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_471]) ).

tcf(c_15636,negated_conjecture,
    ( iPr_def_22
    | iPr_def_20
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_15637,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_469]) ).

tcf(c_15638,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_469]) ).

tcf(c_15639,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_15640,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_467]) ).

tcf(c_15641,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_467]) ).

tcf(c_15642,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_467]) ).

tcf(c_15643,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_15644,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_465]) ).

tcf(c_15645,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_15646,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_463]) ).

tcf(c_15647,negated_conjecture,
    ( iPr_def_29
    | iPr_def_27
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_15648,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_460]) ).

tcf(c_15649,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_15650,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_459]) ).

tcf(c_15651,negated_conjecture,
    ( iPr_def_31
    | iPr_def_13
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_15652,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_456]) ).

tcf(c_15653,negated_conjecture,
    ( iPr_def_32
    | iPr_def_22
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_15654,negated_conjecture,
    ( iPr_def_32
    | iPr_def_26
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_15655,negated_conjecture,
    ( iPr_def_31
    | iPr_def_20
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_15656,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_450]) ).

tcf(c_15657,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_15658,negated_conjecture,
    ( iPr_def_33
    | iPr_def_17
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_15659,negated_conjecture,
    ( iPr_def_14
    | iPr_def_11
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_15660,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

tcf(c_15661,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_15662,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_439]) ).

tcf(c_15663,negated_conjecture,
    ( iPr_def_34
    | iPr_def_33
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_15664,negated_conjecture,
    ( iPr_def_20
    | iPr_def_11
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

tcf(c_15665,negated_conjecture,
    ( iPr_def_24
    | iPr_def_14
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

tcf(c_15666,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_15667,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_431]) ).

tcf(c_15668,negated_conjecture,
    ( iPr_def_35
    | iPr_def_12
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_15669,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_428]) ).

tcf(c_15670,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

tcf(c_15671,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_15672,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_15673,negated_conjecture,
    ( iPr_def_35
    | iPr_def_22
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_15674,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_15675,negated_conjecture,
    ( iPr_def_29
    | iPr_def_12
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

tcf(c_15676,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_15677,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_15678,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_15679,negated_conjecture,
    ( iPr_def_27
    | iPr_def_20
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_15680,negated_conjecture,
    ( iPr_def_30
    | iPr_def_19
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_408]) ).

tcf(c_15681,negated_conjecture,
    ( iPr_def_30
    | iPr_def_17
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

tcf(c_15682,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_404]) ).

tcf(c_15683,negated_conjecture,
    ( iPr_def_37
    | iPr_def_30
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_15684,negated_conjecture,
    ( iPr_def_36
    | iPr_def_23
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_15685,negated_conjecture,
    ( iPr_def_36
    | iPr_def_30
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_15686,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_15687,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_392]) ).

tcf(c_15688,negated_conjecture,
    ( iPr_def_38
    | iPr_def_30
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).

tcf(c_15689,negated_conjecture,
    ( iPr_def_32
    | hskp12
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_15690,negated_conjecture,
    ( iPr_def_31
    | hskp24
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_15691,negated_conjecture,
    ( iPr_def_31
    | hskp26
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_15692,negated_conjecture,
    ( iPr_def_14
    | hskp24
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_15693,negated_conjecture,
    ( iPr_def_13
    | hskp26
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

tcf(c_15694,negated_conjecture,
    ( iPr_def_13
    | hskp13
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

tcf(c_15695,negated_conjecture,
    ( iPr_def_17
    | hskp23
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_15696,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_369]) ).

tcf(c_15697,negated_conjecture,
    ( iPr_def_39
    | hskp22
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

tcf(c_15698,negated_conjecture,
    ( iPr_def_37
    | hskp19
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_15699,negated_conjecture,
    ( iPr_def_15
    | hskp23
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

tcf(c_15700,negated_conjecture,
    ( iPr_def_34
    | hskp10
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_15701,negated_conjecture,
    ( iPr_def_34
    | hskp8
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_15702,negated_conjecture,
    ( iPr_def_20
    | hskp12
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

tcf(c_15703,negated_conjecture,
    ( iPr_def_24
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_15704,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

tcf(c_15705,negated_conjecture,
    ( iPr_def_21
    | hskp18
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_341]) ).

tcf(c_15706,negated_conjecture,
    ( iPr_def_36
    | hskp29
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_338]) ).

tcf(c_15707,negated_conjecture,
    ( iPr_def_23
    | hskp25
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_332]) ).

tcf(c_15708,negated_conjecture,
    ( iPr_def_28
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_329]) ).

tcf(c_15709,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15621]) ).

tcf(c_15713,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15624]) ).

tcf(c_15717,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_15628]) ).

tcf(c_15721,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_15631]) ).

tcf(c_15725,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15634]) ).

tcf(c_15726,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15618]) ).

tcf(c_15729,negated_conjecture,
    ( iPr_def_22
    | iPr_def_20
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_15636]) ).

tcf(c_15733,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_15639]) ).

tcf(c_15737,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_25 ),
    inference(demodulation,[status(thm)],[c_15643]) ).

tcf(c_15741,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_15645]) ).

tcf(c_15744,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_25
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15640]) ).

tcf(c_15745,negated_conjecture,
    ( iPr_def_29
    | iPr_def_27
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_15647]) ).

tcf(c_15749,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_15649]) ).

tcf(c_15753,negated_conjecture,
    ( iPr_def_31
    | iPr_def_13
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15651]) ).

tcf(c_15756,negated_conjecture,
    ( iPr_def_32
    | iPr_def_22
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_15653]) ).

tcf(c_15759,negated_conjecture,
    ( iPr_def_32
    | iPr_def_26
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_15654]) ).

tcf(c_15761,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15641]) ).

tcf(c_15762,negated_conjecture,
    ( iPr_def_31
    | iPr_def_20
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15655]) ).

tcf(c_15765,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15657]) ).

tcf(c_15768,negated_conjecture,
    ( iPr_def_33
    | iPr_def_17
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_15658]) ).

tcf(c_15771,negated_conjecture,
    ( iPr_def_14
    | iPr_def_11
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15659]) ).

tcf(c_15774,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15660]) ).

tcf(c_15776,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_16
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15626]) ).

tcf(c_15777,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15661]) ).

tcf(c_15780,negated_conjecture,
    ( iPr_def_34
    | iPr_def_33
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_15663]) ).

tcf(c_15783,negated_conjecture,
    ( iPr_def_20
    | iPr_def_11
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15664]) ).

tcf(c_15784,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_11
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15619]) ).

tcf(c_15786,negated_conjecture,
    ( iPr_def_24
    | iPr_def_14
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15665]) ).

tcf(c_15789,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_15666]) ).

tcf(c_15790,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15656]) ).

tcf(c_15792,negated_conjecture,
    ( iPr_def_35
    | iPr_def_12
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_15668]) ).

tcf(c_15795,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_15670]) ).

tcf(c_15798,negated_conjecture,
    ( iPr_def_36
    | iPr_def_15
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_15671]) ).

tcf(c_15801,negated_conjecture,
    ( iPr_def_35
    | iPr_def_14
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_15672]) ).

tcf(c_15804,negated_conjecture,
    ( iPr_def_35
    | iPr_def_22
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15673]) ).

tcf(c_15805,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_22
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15635]) ).

tcf(c_15807,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15674]) ).

tcf(c_15808,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15629]) ).

tcf(c_15810,negated_conjecture,
    ( iPr_def_29
    | iPr_def_12
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15675]) ).

tcf(c_15811,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15620]) ).

tcf(c_15812,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_15646]) ).

tcf(c_15813,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_15676]) ).

tcf(c_15816,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15677]) ).

tcf(c_15819,negated_conjecture,
    ( iPr_def_34
    | iPr_def_27
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15678]) ).

tcf(c_15822,negated_conjecture,
    ( iPr_def_27
    | iPr_def_20
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_15679]) ).

tcf(c_15823,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_27
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15642]) ).

tcf(c_15825,negated_conjecture,
    ( iPr_def_30
    | iPr_def_19
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_15680]) ).

tcf(c_15826,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_19
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15630]) ).

tcf(c_15828,negated_conjecture,
    ( iPr_def_30
    | iPr_def_17
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_15681]) ).

tcf(c_15831,negated_conjecture,
    ( iPr_def_37
    | iPr_def_30
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_15683]) ).

tcf(c_15834,negated_conjecture,
    ( iPr_def_36
    | iPr_def_23
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_15684]) ).

tcf(c_15837,negated_conjecture,
    ( iPr_def_36
    | iPr_def_30
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_15685]) ).

tcf(c_15840,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_15686]) ).

tcf(c_15841,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_35
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15667]) ).

tcf(c_15843,negated_conjecture,
    ( iPr_def_38
    | iPr_def_30
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_15688]) ).

tcf(c_15844,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_38 ),
    inference(demodulation,[status(thm)],[c_15687]) ).

tcf(c_15845,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_30 ),
    inference(demodulation,[status(thm)],[c_15648]) ).

tcf(c_15846,negated_conjecture,
    ( iPr_def_32
    | hskp12
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_15689]) ).

tcf(c_15847,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15652]) ).

tcf(c_15848,negated_conjecture,
    ( iPr_def_31
    | hskp24
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15690]) ).

tcf(c_15850,negated_conjecture,
    ( iPr_def_31
    | hskp26
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_15691]) ).

tcf(c_15851,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15650]) ).

tcf(c_15852,negated_conjecture,
    ( iPr_def_14
    | hskp24
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15692]) ).

tcf(c_15853,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15623]) ).

tcf(c_15854,negated_conjecture,
    ( iPr_def_13
    | hskp26
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15693]) ).

tcf(c_15856,negated_conjecture,
    ( iPr_def_13
    | hskp13
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15694]) ).

tcf(c_15857,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15622]) ).

tcf(c_15858,negated_conjecture,
    ( iPr_def_17
    | hskp23
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15695]) ).

tcf(c_15859,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_17
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15627]) ).

tcf(c_15860,negated_conjecture,
    ( iPr_def_39
    | hskp22
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15697]) ).

tcf(c_15861,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_39
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15696]) ).

tcf(c_15862,negated_conjecture,
    ( iPr_def_37
    | hskp19
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15698]) ).

tcf(c_15863,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_37
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15682]) ).

tcf(c_15864,negated_conjecture,
    ( iPr_def_15
    | hskp23
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15699]) ).

tcf(c_15865,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15625]) ).

tcf(c_15866,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_360]) ).

tcf(c_15867,negated_conjecture,
    ( iPr_def_34
    | hskp10
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_15700]) ).

tcf(c_15869,negated_conjecture,
    ( iPr_def_34
    | hskp8
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_15701]) ).

tcf(c_15870,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_34
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15662]) ).

tcf(c_15871,negated_conjecture,
    ( iPr_def_20
    | hskp12
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15702]) ).

tcf(c_15872,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_20
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15632]) ).

tcf(c_15873,negated_conjecture,
    ( iPr_def_24
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_15703]) ).

tcf(c_15874,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_24
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15638]) ).

tcf(c_15875,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15704]) ).

tcf(c_15877,negated_conjecture,
    ( iPr_def_21
    | hskp18
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_15705]) ).

tcf(c_15878,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_21
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15633]) ).

tcf(c_15879,negated_conjecture,
    ( iPr_def_36
    | hskp29
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_15706]) ).

tcf(c_15880,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_36
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15669]) ).

tcf(c_15881,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_336]) ).

tcf(c_15882,negated_conjecture,
    ( iPr_def_23
    | hskp25
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15707]) ).

tcf(c_15883,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_23
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15637]) ).

tcf(c_15884,negated_conjecture,
    ( iPr_def_28
    | hskp1
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_15708]) ).

tcf(c_15885,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_28 ),
    inference(demodulation,[status(thm)],[c_15644]) ).

tcf(c_15886,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_240]) ).

tcf(c_15887,negated_conjecture,
    ( hskp21
    | hskp7
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_239]) ).

tcf(c_15888,negated_conjecture,
    ( hskp22
    | hskp14
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_238]) ).

tcf(c_15889,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_237]) ).

tcf(c_15890,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_236]) ).

tcf(c_15891,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_235]) ).

tcf(c_15892,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_234]) ).

tcf(c_15893,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_233]) ).

tcf(c_15894,negated_conjecture,
    ( hskp29
    | hskp23
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_232]) ).

tcf(c_15895,negated_conjecture,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_168]) ).

tcf(c_15896,negated_conjecture,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_167]) ).

tcf(c_15897,negated_conjecture,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_166]) ).

tcf(c_15898,negated_conjecture,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_164]) ).

tcf(c_15899,negated_conjecture,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_163]) ).

tcf(c_15900,negated_conjecture,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_162]) ).

tcf(c_15901,negated_conjecture,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_160]) ).

tcf(c_15902,negated_conjecture,
    ( c2_1(a1029)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_159]) ).

tcf(c_15903,negated_conjecture,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_158]) ).

tcf(c_15904,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1052) ),
    inference(demodulation,[status(thm)],[c_156]) ).

tcf(c_15905,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1052) ),
    inference(demodulation,[status(thm)],[c_155]) ).

tcf(c_15906,negated_conjecture,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(demodulation,[status(thm)],[c_154]) ).

tcf(c_15907,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    inference(demodulation,[status(thm)],[c_152]) ).

tcf(c_15908,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1048) ),
    inference(demodulation,[status(thm)],[c_151]) ).

tcf(c_15909,negated_conjecture,
    ( c1_1(a1048)
    | ~ hskp25 ),
    inference(demodulation,[status(thm)],[c_150]) ).

tcf(c_15910,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    inference(demodulation,[status(thm)],[c_148]) ).

tcf(c_15911,negated_conjecture,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(demodulation,[status(thm)],[c_147]) ).

tcf(c_15912,negated_conjecture,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(demodulation,[status(thm)],[c_146]) ).

tcf(c_15913,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    inference(demodulation,[status(thm)],[c_144]) ).

tcf(c_15914,negated_conjecture,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(demodulation,[status(thm)],[c_143]) ).

tcf(c_15915,negated_conjecture,
    ( c0_1(a1044)
    | ~ hskp23 ),
    inference(demodulation,[status(thm)],[c_142]) ).

tcf(c_15916,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    inference(demodulation,[status(thm)],[c_140]) ).

tcf(c_15917,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1043) ),
    inference(demodulation,[status(thm)],[c_139]) ).

tcf(c_15918,negated_conjecture,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(demodulation,[status(thm)],[c_138]) ).

tcf(c_15919,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1041) ),
    inference(demodulation,[status(thm)],[c_136]) ).

tcf(c_15920,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1041) ),
    inference(demodulation,[status(thm)],[c_135]) ).

tcf(c_15921,negated_conjecture,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(demodulation,[status(thm)],[c_134]) ).

tcf(c_15922,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1038) ),
    inference(demodulation,[status(thm)],[c_132]) ).

tcf(c_15923,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1038) ),
    inference(demodulation,[status(thm)],[c_131]) ).

tcf(c_15924,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a1038) ),
    inference(demodulation,[status(thm)],[c_130]) ).

tcf(c_15925,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1037) ),
    inference(demodulation,[status(thm)],[c_128]) ).

tcf(c_15926,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1037) ),
    inference(demodulation,[status(thm)],[c_127]) ).

tcf(c_15927,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1037) ),
    inference(demodulation,[status(thm)],[c_126]) ).

tcf(c_15928,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1036) ),
    inference(demodulation,[status(thm)],[c_124]) ).

tcf(c_15929,negated_conjecture,
    ( c3_1(a1036)
    | ~ hskp18 ),
    inference(demodulation,[status(thm)],[c_123]) ).

tcf(c_15930,negated_conjecture,
    ( c1_1(a1036)
    | ~ hskp18 ),
    inference(demodulation,[status(thm)],[c_122]) ).

tcf(c_15931,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_15932,negated_conjecture,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_15933,negated_conjecture,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(demodulation,[status(thm)],[c_118]) ).

tcf(c_15934,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1030) ),
    inference(demodulation,[status(thm)],[c_116]) ).

tcf(c_15935,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1030) ),
    inference(demodulation,[status(thm)],[c_115]) ).

tcf(c_15936,negated_conjecture,
    ( c1_1(a1030)
    | ~ hskp16 ),
    inference(demodulation,[status(thm)],[c_114]) ).

tcf(c_15937,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(demodulation,[status(thm)],[c_112]) ).

tcf(c_15938,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(demodulation,[status(thm)],[c_111]) ).

tcf(c_15939,negated_conjecture,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(demodulation,[status(thm)],[c_110]) ).

tcf(c_15940,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1025) ),
    inference(demodulation,[status(thm)],[c_108]) ).

tcf(c_15941,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1025) ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_15942,negated_conjecture,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_15943,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1023) ),
    inference(demodulation,[status(thm)],[c_104]) ).

tcf(c_15944,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(demodulation,[status(thm)],[c_103]) ).

tcf(c_15945,negated_conjecture,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(demodulation,[status(thm)],[c_102]) ).

tcf(c_15946,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_15947,negated_conjecture,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_15948,negated_conjecture,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_15949,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a1015) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_15950,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1015) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_15951,negated_conjecture,
    ( c3_1(a1015)
    | ~ hskp11 ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_15952,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1012) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_15953,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1012) ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_15954,negated_conjecture,
    ( c0_1(a1012)
    | ~ hskp10 ),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_15955,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1011) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_15956,negated_conjecture,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_15957,negated_conjecture,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_15958,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(demodulation,[status(thm)],[c_84]) ).

tcf(c_15959,negated_conjecture,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(demodulation,[status(thm)],[c_83]) ).

tcf(c_15960,negated_conjecture,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_15961,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    inference(demodulation,[status(thm)],[c_80]) ).

tcf(c_15962,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1008) ),
    inference(demodulation,[status(thm)],[c_79]) ).

tcf(c_15963,negated_conjecture,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(demodulation,[status(thm)],[c_78]) ).

tcf(c_15964,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_15965,negated_conjecture,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_15966,negated_conjecture,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(demodulation,[status(thm)],[c_74]) ).

tcf(c_15967,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1005) ),
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_15968,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1005) ),
    inference(demodulation,[status(thm)],[c_71]) ).

tcf(c_15969,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1005) ),
    inference(demodulation,[status(thm)],[c_70]) ).

tcf(c_15970,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1004) ),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_15971,negated_conjecture,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_15972,negated_conjecture,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_15973,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    inference(demodulation,[status(thm)],[c_64]) ).

tcf(c_15974,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    inference(demodulation,[status(thm)],[c_63]) ).

tcf(c_15975,negated_conjecture,
    ( c1_1(a1003)
    | ~ hskp3 ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_15976,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a1002) ),
    inference(demodulation,[status(thm)],[c_60]) ).

tcf(c_15977,negated_conjecture,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_15978,negated_conjecture,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_15979,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1001) ),
    inference(demodulation,[status(thm)],[c_56]) ).

tcf(c_15980,negated_conjecture,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(demodulation,[status(thm)],[c_55]) ).

tcf(c_15981,negated_conjecture,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(demodulation,[status(thm)],[c_54]) ).

tcf(c_15982,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1000) ),
    inference(demodulation,[status(thm)],[c_52]) ).

tcf(c_15983,negated_conjecture,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(demodulation,[status(thm)],[c_51]) ).

tcf(c_15984,negated_conjecture,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_16902,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_15861,c_15844,c_15863,c_15880,c_15841,c_15870,c_15790,c_15847,c_15851,c_15845,c_15812,c_15885,c_15744,c_15761,c_15823,c_15883,c_15874,c_15805,c_15872,c_15878,c_15808,c_15826,c_15865,c_15776,c_15859,c_15857,c_15853,c_15726,c_15784,c_15811,c_15884,c_15882,c_15879,c_15877,c_15875,c_15873,c_15871,c_15869,c_15867,c_15864,c_15862,c_15860,c_15858,c_15856,c_15854,c_15852,c_15850,c_15848,c_15846,c_15843,c_15840,c_15837,c_15834,c_15831,c_15828,c_15825,c_15822,c_15819,c_15816,c_15813,c_15810,c_15807,c_15804,c_15801,c_15798,c_15795,c_15792,c_15789,c_15786,c_15783,c_15780,c_15777,c_15774,c_15771,c_15768,c_15765,c_15762,c_15759,c_15756,c_15753,c_15749,c_15745,c_15741,c_15737,c_15733,c_15729,c_15725,c_15721,c_15717,c_15713,c_15709,c_15866,c_15881,c_15886,c_15887,c_15888,c_15889,c_15890,c_15891,c_15892,c_15893,c_15894,c_15895,c_15896,c_15897,c_15898,c_15899,c_15900,c_15901,c_15902,c_15903,c_15904,c_15905,c_15906,c_15907,c_15908,c_15909,c_15910,c_15911,c_15912,c_15913,c_15914,c_15915,c_15916,c_15917,c_15918,c_15919,c_15920,c_15921,c_15922,c_15923,c_15924,c_15925,c_15926,c_15927,c_15928,c_15929,c_15930,c_15931,c_15932,c_15933,c_15934,c_15935,c_15936,c_15937,c_15938,c_15939,c_15940,c_15941,c_15942,c_15943,c_15944,c_15945,c_15946,c_15947,c_15948,c_15949,c_15950,c_15951,c_15952,c_15953,c_15954,c_15955,c_15956,c_15957,c_15958,c_15959,c_15960,c_15961,c_15962,c_15963,c_15964,c_15965,c_15966,c_15967,c_15968,c_15969,c_15970,c_15971,c_15972,c_15973,c_15974,c_15975,c_15976,c_15977,c_15978,c_15979,c_15980,c_15981,c_15982,c_15983,c_15984]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.38  % Computer : n004.cluster.edu
% 0.10/10.38  % Model    : x86_64 x86_64
% 0.10/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38  % Memory   : 8046.5625MB
% 0.10/10.38  % OS       : Linux 6.8.0-71-generic
% 0.10/10.38  % CPULimit : 300
% 0.10/10.38  % WCLimit  : 300
% 0.10/10.38  % DateTime : Fri Sep 25 01:25:19 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.10/10.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.41  Running first-order theorem proving
% 0.14/10.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.42  
% 0.14/10.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42  
% 0.14/10.42  % Detected problem language: tptp
% 0.14/10.44  % Proving...
% 2.30/11.29  % SZS status Started for theBenchmark.p
% 2.30/11.29  % SZS status Theorem for theBenchmark.p
% 2.30/11.29  
% 2.30/11.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.30/11.29  
% 2.30/11.29  % ------  iProver source info
% 2.30/11.29  
% 2.30/11.29  % git: date: 2026-07-19 20:42:38 +0200
% 2.30/11.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.30/11.29  % git: non_committed_changes: false
% 2.30/11.29  
% 2.30/11.29  % ------ Parsing...
% 2.30/11.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.30/11.29  % 
% 2.30/11.29  
% 2.30/11.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.30/11.29  
% 2.30/11.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.30/11.29   gs_s  sp: 114 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.30/11.29  % ------ Proving...
% 2.30/11.29  % ------ Problem Properties 
% 2.30/11.29  
% 2.30/11.29  % 
% 2.30/11.29  % clauses                               192
% 2.30/11.29  % conjectures                           192
% 2.30/11.29  % EPR                                   192
% 2.30/11.29  % Horn                                  106
% 2.30/11.29  % unary                                 0
% 2.30/11.29  % binary                                90
% 2.30/11.29  % lits                                  518
% 2.30/11.29  % lits eq                               0
% 2.30/11.29  % fd_pure                               0
% 2.30/11.29  % fd_pseudo                             0
% 2.30/11.29  % fd_cond                               0
% 2.30/11.29  % fd_pseudo_cond                        0
% 2.30/11.29  % AC symbols                            0
% 2.30/11.29  
% 2.30/11.29  % ------ Schedule EPR non Horn non eq is on
% 2.30/11.29  
% 2.30/11.29  % ------ no equalities: superposition off 
% 2.30/11.29  
% 2.30/11.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.30/11.29  
% 2.30/11.29  
% 2.30/11.29  % ------ 
% 2.30/11.29  % Current options:
% 2.30/11.29  % ------ 
% 2.30/11.29  
% 2.30/11.29  
% 2.30/11.29  % 
% 2.30/11.29  
% 2.30/11.29  % ------ Proving...
% 2.30/11.29  % 
% 2.30/11.29  
% 2.30/11.29  % SZS status Theorem for theBenchmark.p
% 2.30/11.29  
% 2.30/11.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.45/11.31  
% 4.45/11.31  
%------------------------------------------------------------------------------