↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN498+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 : n006.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 03:40:33 PM UTC 2026

% Result   : Theorem 2.27s 1.29s
% Output   : CNFRefutation 4.41s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f231ERROR: Could not build tree for root c_20103ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp20
        | hskp28 )
      & ( hskp19
        | hskp28
        | hskp4 )
      & ( hskp28
        | hskp25
        | hskp5 )
      & ( hskp2
        | hskp4
        | hskp16 )
      & ( hskp17
        | hskp2
        | hskp9 )
      & ( hskp24
        | hskp13
        | hskp21 )
      & ( hskp8
        | hskp13
        | hskp27 )
      & ( hskp14
        | hskp26
        | hskp29 )
      & ( hskp24
        | hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c1_1(X118) ) ) )
      & ( hskp25
        | hskp5
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp0
        | hskp22
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | ~ c0_1(X116) ) ) )
      & ( hskp3
        | hskp30
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp16
        | hskp27
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp25
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp11
        | hskp19
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp7
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp6
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | c3_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) ) )
      & ( hskp10
        | hskp21
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp8
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp0
        | hskp28
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp9
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | c3_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp9
        | hskp29
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp6
        | hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp17
        | hskp14
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp25
        | hskp5
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp14
        | hskp16
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp12
        | hskp22
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp4
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp23
        | hskp18
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp15
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp24
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp12
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp15
        | hskp9
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp1
        | hskp10
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp18
        | hskp13
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp23
        | hskp22
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp20
        | hskp22
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp20
        | hskp21
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp17
        | hskp21
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp20
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp19
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp9
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp3
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c3_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp6
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp17
        | hskp16
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp7
        | hskp28
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp15
        | hskp5
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp12
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | ~ c0_1(X48)
              | c3_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp11
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp10
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp6
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp9
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp8
        | hskp7
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp6
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c1_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp27
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp5
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp0
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp4
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c2_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) ) ) )
      & ( hskp0
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp2
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | hskp0
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | c3_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a54)
          & c2_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a35)
          & c1_1(a35)
          & c0_1(a35)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a25)
          & c2_1(a25)
          & c1_1(a25)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a99)
          & c2_1(a99)
          & c1_1(a99)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a70)
          & ~ c1_1(a70)
          & c0_1(a70)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a58)
          & ~ c0_1(a58)
          & c2_1(a58)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a45)
          & ~ c1_1(a45)
          & c3_1(a45)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a42)
          & c2_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a38)
          & c1_1(a38)
          & c0_1(a38)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a37)
          & c3_1(a37)
          & c1_1(a37)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a36)
          & c3_1(a36)
          & c2_1(a36)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a31)
          & ~ c0_1(a31)
          & c1_1(a31)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a28)
          & ~ c0_1(a28)
          & c3_1(a28)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a27)
          & c3_1(a27)
          & c0_1(a27)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a24)
          & ~ c1_1(a24)
          & ~ c0_1(a24)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a22)
          & c3_1(a22)
          & c2_1(a22)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a21)
          & c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c1_1(a20)
          & c2_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a19)
          & ~ c0_1(a19)
          & c2_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a18)
          & ~ c0_1(a18)
          & c3_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a16)
          & c1_1(a16)
          & c0_1(a16)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c1_1(a14)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a13)
          & ~ c1_1(a13)
          & ~ c0_1(a13)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a11)
          & ~ c1_1(a11)
          & c0_1(a11)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a9)
          & ~ c2_1(a9)
          & c0_1(a9)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a7)
          & c3_1(a7)
          & c0_1(a7)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & c3_1(a3)
          & c1_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2)
          & ~ c2_1(a2)
          & ~ c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a1)
          & c2_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp20
          | hskp28 )
        & ( hskp19
          | hskp28
          | hskp4 )
        & ( hskp28
          | hskp25
          | hskp5 )
        & ( hskp2
          | hskp4
          | hskp16 )
        & ( hskp17
          | hskp2
          | hskp9 )
        & ( hskp24
          | hskp13
          | hskp21 )
        & ( hskp8
          | hskp13
          | hskp27 )
        & ( hskp14
          | hskp26
          | hskp29 )
        & ( hskp24
          | hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c1_1(X118) ) ) )
        & ( hskp25
          | hskp5
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp0
          | hskp22
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) ) )
        & ( hskp3
          | hskp30
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp16
          | hskp27
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp25
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp11
          | hskp19
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp7
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp6
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) ) )
        & ( hskp10
          | hskp21
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp8
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp0
          | hskp28
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp9
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp9
          | hskp29
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp6
          | hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp17
          | hskp14
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp25
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp14
          | hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp12
          | hskp22
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp4
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp23
          | hskp18
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp15
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp24
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp12
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp15
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp1
          | hskp10
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp18
          | hskp13
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp23
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp20
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp20
          | hskp21
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp17
          | hskp21
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp20
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp19
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp9
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp3
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp6
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp7
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp15
          | hskp5
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp12
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp11
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp10
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp6
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp9
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp8
          | hskp7
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp27
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp5
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp0
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp4
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c2_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) ) ) )
        & ( hskp0
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | hskp0
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | c3_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a54)
            & c2_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a35)
            & c1_1(a35)
            & c0_1(a35)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a25)
            & c2_1(a25)
            & c1_1(a25)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a99)
            & c2_1(a99)
            & c1_1(a99)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a70)
            & ~ c1_1(a70)
            & c0_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a45)
            & ~ c1_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a42)
            & c2_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a38)
            & c1_1(a38)
            & c0_1(a38)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a37)
            & c3_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a31)
            & ~ c0_1(a31)
            & c1_1(a31)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a28)
            & ~ c0_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a27)
            & c3_1(a27)
            & c0_1(a27)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a24)
            & ~ c1_1(a24)
            & ~ c0_1(a24)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a22)
            & c3_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a21)
            & c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c1_1(a20)
            & c2_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c0_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a18)
            & ~ c0_1(a18)
            & c3_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & c1_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c1_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a13)
            & ~ c1_1(a13)
            & ~ c0_1(a13)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a11)
            & ~ c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a9)
            & ~ c2_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a7)
            & c3_1(a7)
            & c0_1(a7)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & c3_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c2_1(a2)
            & ~ c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a1)
            & c2_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c2_1(X118)
            | ~ c1_1(X118) ) ) )
    & ( hskp25
      | hskp5
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c1_1(X117)
            | ~ c0_1(X117) ) ) )
    & ( hskp0
      | hskp22
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c1_1(X116)
            | ~ c0_1(X116) ) ) )
    & ( hskp3
      | hskp30
      | ! [X115] :
          ( ndr1_0
         => ( ~ c3_1(X115)
            | ~ c1_1(X115)
            | ~ c0_1(X115) ) ) )
    & ( hskp16
      | hskp27
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c1_1(X114)
            | ~ c0_1(X114) ) ) )
    & ( hskp25
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c2_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp11
      | hskp19
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | ~ c0_1(X111) ) ) )
    & ( hskp7
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | ~ c0_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c1_1(X109)
            | ~ c0_1(X109) ) ) )
    & ( hskp6
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c1_1(X108)
            | c3_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | ~ c0_1(X107)
            | c3_1(X107) ) ) )
    & ( hskp10
      | hskp21
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) ) )
    & ( hskp8
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) ) )
    & ( hskp0
      | hskp28
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp9
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c1_1(X102)
            | c3_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c1_1(X101)
            | c2_1(X101) ) ) )
    & ( hskp9
      | hskp29
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp6
      | hskp24
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp17
      | hskp14
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp25
      | hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp14
      | hskp16
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c0_1(X95)
            | c3_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c2_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp12
      | hskp22
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) ) )
    & ( hskp4
      | hskp21
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp23
      | hskp18
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp15
      | hskp4
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp24
      | hskp13
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp20
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c0_1(X87)
            | c3_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp12
      | hskp30
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp15
      | hskp9
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp12
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp1
      | hskp10
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp18
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | ~ c0_1(X80)
            | c1_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp18
      | hskp13
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp23
      | hskp22
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp20
      | hskp22
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c1_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c1_1(X74)
            | c2_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c1_1(X73) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | c3_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp20
      | hskp21
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp17
      | hskp21
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c2_1(X67)
            | ~ c1_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp20
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c3_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp19
      | hskp29
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp9
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp18
      | hskp3
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp6
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c3_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | c1_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp16
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp7
      | hskp28
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp15
      | hskp5
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | hskp13
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp12
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | ~ c0_1(X48)
            | c3_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp11
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c1_1(X44)
            | c3_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c3_1(X43)
            | c2_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp10
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp6
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp9
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c2_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c2_1(X34)
            | c1_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp8
      | hskp7
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp6
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | c2_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp27
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c0_1(X29)
            | c2_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c1_1(X27)
            | c3_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp5
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c2_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp0
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp4
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c2_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) ) ) )
    & ( hskp0
      | hskp3
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp1
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp2
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | c2_1(X9)
            | c1_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp1
      | hskp2
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | hskp0
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | c3_1(X2)
            | c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c3_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c1_1(X118) ) )
    & ( hskp25
      | hskp5
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp0
      | hskp22
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116) ) )
    & ( hskp3
      | hskp30
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c1_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp16
      | hskp27
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp25
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c1_1(X113) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp11
      | hskp19
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp7
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp6
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp10
      | hskp21
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp8
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp0
      | hskp28
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp9
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c2_1(X102)
          | ~ c1_1(X102)
          | c3_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c1_1(X101)
          | c2_1(X101) ) )
    & ( hskp9
      | hskp29
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp6
      | hskp24
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp17
      | hskp14
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp25
      | hskp5
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp14
      | hskp16
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93) ) )
    & ( hskp12
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c2_1(X92) ) )
    & ( hskp4
      | hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp23
      | hskp18
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp15
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp24
      | hskp13
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c3_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp12
      | hskp30
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( hskp15
      | hskp9
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp12
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp1
      | hskp10
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp18
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp18
      | hskp13
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp23
      | hskp22
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp20
      | hskp22
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c1_1(X75)
          | ~ c0_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp20
      | hskp21
      | ! [X69] :
          ( ~ ndr1_0
          | c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp17
      | hskp21
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp20
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | c3_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp19
      | hskp29
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp9
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59) ) )
    & ( hskp18
      | hskp3
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58) ) )
    & ( hskp6
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp17
      | hskp16
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | hskp28
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp15
      | hskp5
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | hskp13
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp12
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp11
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c1_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c2_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp10
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp6
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp9
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c0_1(X35)
          | c3_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c2_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp8
      | hskp7
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp6
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c1_1(X31)
          | c2_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp27
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp5
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp0
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp4
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | ~ c0_1(X15)
          | c2_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) ) )
    & ( hskp0
      | hskp3
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp1
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp2
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | c2_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | hskp0
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | c3_1(X2)
          | c2_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp20
      | hskp28 )
    & ( hskp19
      | hskp28
      | hskp4 )
    & ( hskp28
      | hskp25
      | hskp5 )
    & ( hskp2
      | hskp4
      | hskp16 )
    & ( hskp17
      | hskp2
      | hskp9 )
    & ( hskp24
      | hskp13
      | hskp21 )
    & ( hskp8
      | hskp13
      | hskp27 )
    & ( hskp14
      | hskp26
      | hskp29 )
    & ( hskp24
      | hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c1_1(X118) ) )
    & ( hskp25
      | hskp5
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp0
      | hskp22
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116) ) )
    & ( hskp3
      | hskp30
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c3_1(X115)
          | ~ c1_1(X115)
          | ~ c0_1(X115) ) )
    & ( hskp16
      | hskp27
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c1_1(X114)
          | ~ c0_1(X114) ) )
    & ( hskp25
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c1_1(X113) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp11
      | hskp19
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( hskp7
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c1_1(X109)
          | ~ c0_1(X109) ) )
    & ( hskp6
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | c3_1(X107) ) )
    & ( hskp10
      | hskp21
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp8
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp0
      | hskp28
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp9
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c2_1(X102)
          | ~ c1_1(X102)
          | c3_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c1_1(X101)
          | c2_1(X101) ) )
    & ( hskp9
      | hskp29
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp6
      | hskp24
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp17
      | hskp14
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) ) )
    & ( hskp25
      | hskp5
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp14
      | hskp16
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93) ) )
    & ( hskp12
      | hskp22
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c2_1(X92) ) )
    & ( hskp4
      | hskp21
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp23
      | hskp18
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp15
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp24
      | hskp13
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c3_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp12
      | hskp30
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( hskp15
      | hskp9
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp12
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c2_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp1
      | hskp10
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp18
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp18
      | hskp13
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp23
      | hskp22
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp20
      | hskp22
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c1_1(X75)
          | ~ c0_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | c3_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp20
      | hskp21
      | ! [X69] :
          ( ~ ndr1_0
          | c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp17
      | hskp21
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp20
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | c3_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp19
      | hskp29
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp9
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp15
      | hskp11
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59) ) )
    & ( hskp18
      | hskp3
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58) ) )
    & ( hskp6
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp17
      | hskp16
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | hskp28
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp15
      | hskp5
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | hskp13
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp12
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp11
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c1_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c2_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp10
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp6
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp9
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c0_1(X35)
          | c3_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c2_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp8
      | hskp7
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp6
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c1_1(X31)
          | c2_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp27
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp5
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp0
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp4
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | ~ c0_1(X15)
          | c2_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) ) )
    & ( hskp0
      | hskp3
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp1
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp2
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | c2_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | hskp0
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | c3_1(X2)
          | c2_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a54)
        & c2_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a35)
        & c1_1(a35)
        & c0_1(a35)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a25)
        & c2_1(a25)
        & c1_1(a25)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a99)
        & c2_1(a99)
        & c1_1(a99)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a70)
        & ~ c1_1(a70)
        & c0_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a45)
        & ~ c1_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a42)
        & c2_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a38)
        & c1_1(a38)
        & c0_1(a38)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a37)
        & c3_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a31)
        & ~ c0_1(a31)
        & c1_1(a31)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a28)
        & ~ c0_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a27)
        & c3_1(a27)
        & c0_1(a27)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a24)
        & ~ c1_1(a24)
        & ~ c0_1(a24)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a22)
        & c3_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a21)
        & c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c1_1(a20)
        & c2_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c0_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a18)
        & ~ c0_1(a18)
        & c3_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & c1_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c1_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a13)
        & ~ c1_1(a13)
        & ~ c0_1(a13)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a11)
        & ~ c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a9)
        & ~ c2_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a7)
        & c3_1(a7)
        & c0_1(a7)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & c3_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c2_1(a2)
        & ~ c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a1)
        & c2_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp1
    | hskp20
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp19
    | hskp28
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp2
    | hskp4
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp17
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp24
    | hskp13
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp8
    | hskp13
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp14
    | hskp26
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X118] :
      ( hskp24
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X118)
      | ~ c2_1(X118)
      | ~ c1_1(X118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X117] :
      ( hskp25
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X117)
      | ~ c1_1(X117)
      | ~ c0_1(X117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X116] :
      ( hskp0
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X116)
      | ~ c1_1(X116)
      | ~ c0_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X115] :
      ( hskp3
      | hskp30
      | ~ ndr1_0
      | ~ c3_1(X115)
      | ~ c1_1(X115)
      | ~ c0_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X114] :
      ( hskp16
      | hskp27
      | ~ ndr1_0
      | ~ c3_1(X114)
      | ~ c1_1(X114)
      | ~ c0_1(X114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X111] :
      ( hskp11
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X111)
      | ~ c1_1(X111)
      | ~ c0_1(X111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X106] :
      ( hskp10
      | hskp21
      | ~ ndr1_0
      | ~ c1_1(X106)
      | ~ c0_1(X106)
      | c3_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X103] :
      ( hskp0
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | c2_1(X103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X100] :
      ( hskp9
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X100)
      | ~ c0_1(X100)
      | c2_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( hskp6
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c0_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98] :
      ( hskp17
      | hskp14
      | ~ ndr1_0
      | ~ c1_1(X98)
      | ~ c0_1(X98)
      | c2_1(X98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X97] :
      ( hskp25
      | hskp5
      | ~ ndr1_0
      | ~ c1_1(X97)
      | ~ c0_1(X97)
      | c2_1(X97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X96] :
      ( hskp14
      | hskp16
      | ~ ndr1_0
      | ~ c1_1(X96)
      | ~ c0_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X92] :
      ( hskp12
      | hskp22
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c3_1(X92)
      | c2_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X91] :
      ( hskp4
      | hskp21
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c3_1(X91)
      | c2_1(X91) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X90] :
      ( hskp23
      | hskp18
      | ~ ndr1_0
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X89] :
      ( hskp15
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c0_1(X89)
      | c1_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X88] :
      ( hskp24
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X88)
      | ~ c0_1(X88)
      | c1_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X85] :
      ( hskp12
      | hskp30
      | ~ ndr1_0
      | ~ c2_1(X85)
      | ~ c0_1(X85)
      | c1_1(X85) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X84] :
      ( hskp15
      | hskp9
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X81] :
      ( hskp1
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c3_1(X81)
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X78] :
      ( hskp18
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X77] :
      ( hskp23
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X77)
      | c2_1(X77)
      | c1_1(X77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X76] :
      ( hskp20
      | hskp22
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X69] :
      ( hskp20
      | hskp21
      | ~ ndr1_0
      | c3_1(X69)
      | c2_1(X69)
      | c1_1(X69) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X68] :
      ( hskp17
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X62] :
      ( hskp19
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X59] :
      ( hskp15
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X58] :
      ( hskp18
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X52] :
      ( hskp17
      | hskp16
      | ~ ndr1_0
      | ~ c1_1(X52)
      | c3_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X51] :
      ( hskp7
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X51)
      | c2_1(X51)
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X50] :
      ( hskp15
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X50)
      | c2_1(X50)
      | c0_1(X50) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X49] :
      ( hskp14
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X49)
      | c2_1(X49)
      | c0_1(X49) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X32] :
      ( hskp8
      | hskp7
      | ~ ndr1_0
      | c3_1(X32)
      | c2_1(X32)
      | c0_1(X32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X12] :
      ( hskp0
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X12)
      | c1_1(X12)
      | c0_1(X12) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X7] :
      ( hskp1
      | hskp2
      | ~ ndr1_0
      | c3_1(X7)
      | c1_1(X7)
      | c0_1(X7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ! [X6] :
      ( hskp1
      | hskp0
      | ~ ndr1_0
      | c3_1(X6)
      | c1_1(X6)
      | c0_1(X6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c2_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c1_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c0_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c2_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c0_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c2_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c1_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c3_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c1_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c2_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ c0_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c0_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c1_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ c0_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c3_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c2_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_51,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_54,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_59,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a7) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_65,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a9) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a9) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a11) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a11) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_74,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a13) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a13) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a13) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_78,negated_conjecture,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a14) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_82,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a15) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_87,negated_conjecture,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_90,negated_conjecture,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_98,negated_conjecture,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a20) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a21) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_107,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a24) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a24) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a27) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a28) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a28) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a31) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a31) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_125,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_135,negated_conjecture,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a38) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_139,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a42) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_142,negated_conjecture,
    ( c3_1(a45)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a45) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a45) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_146,negated_conjecture,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a58) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a70) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a70) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_154,negated_conjecture,
    ( c1_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_155,negated_conjecture,
    ( c2_1(a99)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a99) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_168,negated_conjecture,
    ( c2_1(a35)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a54)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp0
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f70]) ).

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

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp13
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp5
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp16
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp3
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp20
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp20
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp13
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp9
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp12
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp13
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp18
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp12
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp14
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp9
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp0
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp16
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_241,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_242,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_243,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_244,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_245,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp14 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_246,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp8 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_247,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp13 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_248,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp2 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_249,negated_conjecture,
    ( hskp16
    | hskp4
    | hskp2 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_250,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_251,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_252,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_295,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_251,c_161,c_125,c_65]) ).

tcf(c_357,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp20
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_251,c_161,c_125,c_65,c_209]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_251,c_161,c_125,c_65,c_188]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_251,c_161,c_125,c_65,c_176]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_251,c_161,c_125,c_65,c_175]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp12
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_251,c_161,c_125,c_65,c_225]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp4
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_251,c_161,c_125,c_65,c_224]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_251,c_161,c_125,c_65,c_216]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp13
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_251,c_161,c_125,c_65,c_214]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_251,c_161,c_125,c_65,c_213]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp20
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_251,c_161,c_125,c_65,c_212]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp11
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_251,c_161,c_125,c_65,c_203]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp3
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_251,c_161,c_125,c_65,c_202]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp16
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_199,c_295]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_251,c_161,c_125,c_65,c_198]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp5
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_251,c_161,c_125,c_65,c_197]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp13
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_251,c_161,c_125,c_65,c_196]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp0
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_251,c_161,c_125,c_65,c_179]) ).

tcf(c_408,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_251,c_161,c_125,c_65,c_235]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_408]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp0
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_251,c_161,c_125,c_65,c_233]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp0
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_414,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp9
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_251,c_161,c_125,c_65,c_231]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp9
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_417,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp6
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_251,c_161,c_125,c_65,c_230]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp6
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_417]) ).

tcf(c_420,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_251,c_161,c_125,c_65,c_229]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_420]) ).

tcf(c_423,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_251,c_161,c_125,c_65,c_228]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_426,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp14
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_251,c_161,c_125,c_65,c_227]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp14
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_429,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp18
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_251,c_161,c_125,c_65,c_223]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp18
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_429]) ).

tcf(c_432,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_251,c_161,c_125,c_65,c_222]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_435,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp13
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_251,c_161,c_125,c_65,c_221]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp13
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_438,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp12
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_251,c_161,c_125,c_65,c_219]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp12
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_441,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp9
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_251,c_161,c_125,c_65,c_218]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp9
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_444,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp17
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_251,c_161,c_125,c_65,c_208]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp17
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_447,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_251,c_161,c_125,c_65,c_205]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_450,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_244,c_251,c_161,c_125,c_65,c_244]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp3
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_450]) ).

tcf(c_453,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_251,c_161,c_125,c_65,c_243]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_456,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_242,c_251,c_161,c_125,c_65,c_242]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_459,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp3
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_251,c_161,c_125,c_65,c_241]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp3
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_462,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp16
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_251,c_161,c_125,c_65,c_240]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp16
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_465,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_251,c_161,c_125,c_65,c_238]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_251,c_161,c_125,c_65,c_184]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_251,c_161,c_125,c_65,c_204]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_251,c_161,c_125,c_65,c_187]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_251,c_161,c_125,c_65,c_186]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_251,c_161,c_125,c_65,c_182]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_251,c_161,c_125,c_65,c_177]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_251,c_161,c_125,c_65,c_215]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_251,c_161,c_125,c_65,c_201,c_236]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_251,c_161,c_125,c_65,c_195]) ).

tcf(c_487,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_486]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_251,c_161,c_125,c_65,c_194]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_251,c_161,c_125,c_65,c_192]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_251,c_161,c_125,c_65,c_178]) ).

tcf(c_493,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_492]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_484]) ).

tcf(c_496,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_251,c_161,c_125,c_65,c_232]) ).

tcf(c_497,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_496]) ).

tcf(c_498,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_251,c_161,c_125,c_65,c_220]) ).

tcf(c_499,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_498]) ).

tcf(c_500,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_251,c_161,c_125,c_65,c_206]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_500]) ).

tcf(c_502,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_251,c_161,c_125,c_65,c_191]) ).

tcf(c_503,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_502]) ).

tcf(c_504,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_251,c_161,c_125,c_65,c_190]) ).

tcf(c_505,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_504]) ).

tcf(c_506,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_251,c_161,c_125,c_65,c_181]) ).

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

tcf(c_508,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_251,c_161,c_125,c_65,c_234]) ).

tcf(c_509,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_508]) ).

tcf(c_510,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_251,c_161,c_125,c_65,c_217]) ).

tcf(c_511,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_510]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_251,c_161,c_125,c_65,c_239]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_515,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_251,c_161,c_125,c_65,c_237]) ).

tcf(c_516,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_515]) ).

tcf(c_518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_251,c_161,c_125,c_65,c_200]) ).

tcf(c_519,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_518]) ).

tcf(c_520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_251,c_161,c_125,c_65,c_183]) ).

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

tcf(c_522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_251,c_161,c_125,c_65,c_173]) ).

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

tcf(c_524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_251,c_161,c_125,c_65,c_180]) ).

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

tcf(c_526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_251,c_161,c_125,c_65,c_193]) ).

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

tcf(c_528,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_251,c_161,c_125,c_65,c_189]) ).

tcf(c_529,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_528]) ).

tcf(c_530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_251,c_161,c_125,c_65,c_185]) ).

tcf(c_531,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_530]) ).

tcf(c_532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_251,c_161,c_125,c_65,c_174]) ).

tcf(c_533,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_532]) ).

tcf(c_534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_251,c_161,c_125,c_65,c_210]) ).

tcf(c_535,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_534]) ).

tcf(c_536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_251,c_161,c_125,c_65,c_226]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_536]) ).

tcf(c_538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_251,c_161,c_125,c_65,c_211]) ).

tcf(c_539,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_538]) ).

tcf(c_540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_251,c_161,c_125,c_65,c_207]) ).

tcf(c_541,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_540]) ).

tcf(c_1856,plain,
    ( hskp29
    | hskp14
    | ~ c0_1(a99) ),
    inference(resolution,[status(thm)],[c_245,c_156]) ).

tcf(c_1866,plain,
    ( hskp29
    | hskp14
    | c2_1(a99) ),
    inference(resolution,[status(thm)],[c_245,c_155]) ).

tcf(c_1876,plain,
    ( hskp29
    | hskp14
    | c1_1(a99) ),
    inference(resolution,[status(thm)],[c_245,c_154]) ).

tcf(c_18670,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_541]) ).

tcf(c_18671,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_541]) ).

tcf(c_18672,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_541]) ).

tcf(c_18673,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_541]) ).

tcf(c_18674,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_539]) ).

tcf(c_18675,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_539]) ).

tcf(c_18676,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_539]) ).

tcf(c_18677,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).

tcf(c_18678,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_537]) ).

tcf(c_18679,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_537]) ).

tcf(c_18680,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_537]) ).

tcf(c_18681,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).

tcf(c_18682,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_535]) ).

tcf(c_18683,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_535]) ).

tcf(c_18684,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_533]) ).

tcf(c_18685,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_533]) ).

tcf(c_18686,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_531]) ).

tcf(c_18687,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_531]) ).

tcf(c_18688,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).

tcf(c_18689,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_529]) ).

tcf(c_18690,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_529]) ).

tcf(c_18691,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_529]) ).

tcf(c_18692,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_529]) ).

tcf(c_18693,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_527]) ).

tcf(c_18694,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_527]) ).

tcf(c_18695,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).

tcf(c_18696,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_525]) ).

tcf(c_18697,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_525]) ).

tcf(c_18698,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_525]) ).

tcf(c_18699,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_523]) ).

tcf(c_18700,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_523]) ).

tcf(c_18701,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

tcf(c_18702,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_521]) ).

tcf(c_18703,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

tcf(c_18704,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_519]) ).

tcf(c_18705,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_519]) ).

tcf(c_18706,negated_conjecture,
    ( iPr_def_34
    | iPr_def_33
    | iPr_def_32 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

tcf(c_18707,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_516]) ).

tcf(c_18708,negated_conjecture,
    ( iPr_def_35
    | iPr_def_13
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

tcf(c_18709,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

tcf(c_18710,negated_conjecture,
    ( iPr_def_21
    | iPr_def_13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_18711,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).

tcf(c_18712,negated_conjecture,
    ( iPr_def_29
    | iPr_def_13
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).

tcf(c_18713,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

tcf(c_18714,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

tcf(c_18715,negated_conjecture,
    ( iPr_def_19
    | iPr_def_11
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_18716,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_499]) ).

tcf(c_18717,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_499]) ).

tcf(c_18718,negated_conjecture,
    ( iPr_def_37
    | iPr_def_36
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).

tcf(c_18719,negated_conjecture,
    ( iPr_def_19
    | iPr_def_15
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

tcf(c_18720,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_493]) ).

tcf(c_18721,negated_conjecture,
    ( iPr_def_38
    | iPr_def_15
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

tcf(c_18722,negated_conjecture,
    ( iPr_def_26
    | iPr_def_23
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_18723,negated_conjecture,
    ( iPr_def_26
    | iPr_def_16
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_18724,negated_conjecture,
    ( iPr_def_26
    | iPr_def_17
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

tcf(c_18725,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_494]) ).

tcf(c_18726,negated_conjecture,
    ( iPr_def_39
    | iPr_def_19
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_18727,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_18728,negated_conjecture,
    ( iPr_def_38
    | iPr_def_14
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_18729,negated_conjecture,
    ( iPr_def_22
    | iPr_def_11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_18730,negated_conjecture,
    ( iPr_def_22
    | iPr_def_18
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_18731,negated_conjecture,
    ( iPr_def_22
    | iPr_def_15
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_18732,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_471]) ).

tcf(c_18733,negated_conjecture,
    ( iPr_def_40
    | iPr_def_32
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_18734,negated_conjecture,
    ( iPr_def_30
    | iPr_def_22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_18735,negated_conjecture,
    ( iPr_def_35
    | hskp19
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_18736,negated_conjecture,
    ( iPr_def_13
    | hskp27
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_18737,negated_conjecture,
    ( iPr_def_13
    | hskp30
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_18738,negated_conjecture,
    ( iPr_def_13
    | hskp22
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_18739,negated_conjecture,
    ( iPr_def_13
    | hskp25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_18740,negated_conjecture,
    ( iPr_def_12
    | hskp24
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

tcf(c_18741,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_448]) ).

tcf(c_18742,negated_conjecture,
    ( iPr_def_41
    | hskp29
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_18743,negated_conjecture,
    ( iPr_def_11
    | hskp21
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_18744,negated_conjecture,
    ( iPr_def_21
    | hskp15
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_18745,negated_conjecture,
    ( iPr_def_21
    | hskp30
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_18746,negated_conjecture,
    ( iPr_def_36
    | hskp24
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_18747,negated_conjecture,
    ( iPr_def_36
    | hskp15
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_18748,negated_conjecture,
    ( iPr_def_36
    | hskp23
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

tcf(c_18749,negated_conjecture,
    ( iPr_def_18
    | hskp16
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_18750,negated_conjecture,
    ( iPr_def_18
    | hskp25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_18751,negated_conjecture,
    ( iPr_def_18
    | hskp17
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

tcf(c_18752,negated_conjecture,
    ( iPr_def_18
    | hskp24
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

tcf(c_18753,negated_conjecture,
    ( iPr_def_16
    | hskp29
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_18754,negated_conjecture,
    ( iPr_def_15
    | hskp28
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_18755,negated_conjecture,
    ( iPr_def_17
    | hskp21
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

tcf(c_18756,negated_conjecture,
    ( iPr_def_38
    | hskp3
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_18757,negated_conjecture,
    ( iPr_def_26
    | hskp14
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_18758,negated_conjecture,
    ( iPr_def_26
    | hskp15
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

tcf(c_18759,negated_conjecture,
    ( iPr_def_26
    | hskp28
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

tcf(c_18760,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_393]) ).

tcf(c_18761,negated_conjecture,
    ( iPr_def_42
    | hskp17
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

tcf(c_18762,negated_conjecture,
    ( iPr_def_34
    | hskp18
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_18763,negated_conjecture,
    ( iPr_def_34
    | hskp15
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_18764,negated_conjecture,
    ( iPr_def_14
    | hskp22
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_18765,negated_conjecture,
    ( iPr_def_14
    | hskp23
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_18766,negated_conjecture,
    ( iPr_def_14
    | hskp18
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

tcf(c_18767,negated_conjecture,
    ( iPr_def_30
    | hskp10
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

tcf(c_18768,negated_conjecture,
    ( iPr_def_24
    | hskp21
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_18769,negated_conjecture,
    ( iPr_def_24
    | hskp22
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

tcf(c_18770,negated_conjecture,
    ( iPr_def_20
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_18771,negated_conjecture,
    ( iPr_def_20
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

tcf(c_18772,negated_conjecture,
    ( iPr_def_22
    | hskp8
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_18773,negated_conjecture,
    ( iPr_def_32
    | hskp21
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

tcf(c_18774,plain,
    ( hskp29
    | hskp14
    | c1_1(a99) ),
    inference(demodulation,[status(thm)],[c_1876]) ).

tcf(c_18775,plain,
    ( hskp29
    | hskp14
    | c2_1(a99) ),
    inference(demodulation,[status(thm)],[c_1866]) ).

tcf(c_18776,plain,
    ( hskp29
    | hskp14
    | ~ c0_1(a99) ),
    inference(demodulation,[status(thm)],[c_1856]) ).

tcf(c_18777,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_18673]) ).

tcf(c_18780,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18670]) ).

tcf(c_18781,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_18677]) ).

tcf(c_18785,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_18681]) ).

tcf(c_18789,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_18683]) ).

tcf(c_18793,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_18685]) ).

tcf(c_18797,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_18688]) ).

tcf(c_18801,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_18692]) ).

tcf(c_18805,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_18695]) ).

tcf(c_18809,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_26 ),
    inference(demodulation,[status(thm)],[c_18698]) ).

tcf(c_18812,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_28
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18696]) ).

tcf(c_18813,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_18701]) ).

tcf(c_18814,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_27
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18694]) ).

tcf(c_18815,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_31 ),
    inference(demodulation,[status(thm)],[c_18700]) ).

tcf(c_18817,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_18703]) ).

tcf(c_18821,negated_conjecture,
    ( iPr_def_34
    | iPr_def_33
    | iPr_def_32 ),
    inference(demodulation,[status(thm)],[c_18706]) ).

tcf(c_18825,negated_conjecture,
    ( iPr_def_35
    | iPr_def_13
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_18708]) ).

tcf(c_18828,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | hskp25 ),
    inference(demodulation,[status(thm)],[c_18709]) ).

tcf(c_18831,negated_conjecture,
    ( iPr_def_21
    | iPr_def_13
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18710]) ).

tcf(c_18834,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_18711]) ).

tcf(c_18837,negated_conjecture,
    ( iPr_def_29
    | iPr_def_13
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18712]) ).

tcf(c_18839,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_29
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18697]) ).

tcf(c_18840,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18713]) ).

tcf(c_18843,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18714]) ).

tcf(c_18844,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_25
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18691]) ).

tcf(c_18846,negated_conjecture,
    ( iPr_def_19
    | iPr_def_11
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18715]) ).

tcf(c_18849,negated_conjecture,
    ( iPr_def_37
    | iPr_def_36
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18718]) ).

tcf(c_18850,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_37
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18717]) ).

tcf(c_18852,negated_conjecture,
    ( iPr_def_19
    | iPr_def_15
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18719]) ).

tcf(c_18855,negated_conjecture,
    ( iPr_def_38
    | iPr_def_15
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18721]) ).

tcf(c_18858,negated_conjecture,
    ( iPr_def_26
    | iPr_def_23
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_18722]) ).

tcf(c_18859,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18689]) ).

tcf(c_18861,negated_conjecture,
    ( iPr_def_26
    | iPr_def_16
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18723]) ).

tcf(c_18864,negated_conjecture,
    ( iPr_def_26
    | iPr_def_17
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18724]) ).

tcf(c_18867,negated_conjecture,
    ( iPr_def_39
    | iPr_def_19
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18726]) ).

tcf(c_18868,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_19
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18682]) ).

tcf(c_18869,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_39
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18725]) ).

tcf(c_18870,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_18727]) ).

tcf(c_18872,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_33
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18704]) ).

tcf(c_18873,negated_conjecture,
    ( iPr_def_38
    | iPr_def_14
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18728]) ).

tcf(c_18876,negated_conjecture,
    ( iPr_def_22
    | iPr_def_11
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18729]) ).

tcf(c_18879,negated_conjecture,
    ( iPr_def_22
    | iPr_def_18
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_18730]) ).

tcf(c_18882,negated_conjecture,
    ( iPr_def_22
    | iPr_def_15
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18731]) ).

tcf(c_18885,negated_conjecture,
    ( iPr_def_40
    | iPr_def_32
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18733]) ).

tcf(c_18886,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_40
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18732]) ).

tcf(c_18888,negated_conjecture,
    ( iPr_def_30
    | iPr_def_22
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18734]) ).

tcf(c_18891,negated_conjecture,
    ( iPr_def_35
    | hskp19
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18735]) ).

tcf(c_18892,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18707]) ).

tcf(c_18893,negated_conjecture,
    ( iPr_def_13
    | hskp27
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_18736]) ).

tcf(c_18895,negated_conjecture,
    ( iPr_def_13
    | hskp30
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18737]) ).

tcf(c_18897,negated_conjecture,
    ( iPr_def_13
    | hskp22
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18738]) ).

tcf(c_18899,negated_conjecture,
    ( iPr_def_13
    | hskp25
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18739]) ).

tcf(c_18900,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18674]) ).

tcf(c_18901,negated_conjecture,
    ( iPr_def_12
    | hskp24
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18740]) ).

tcf(c_18902,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18672]) ).

tcf(c_18903,negated_conjecture,
    ( iPr_def_41
    | hskp29
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_18742]) ).

tcf(c_18904,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_41
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18741]) ).

tcf(c_18905,negated_conjecture,
    ( iPr_def_11
    | hskp21
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_18743]) ).

tcf(c_18906,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18671]) ).

tcf(c_18907,negated_conjecture,
    ( iPr_def_21
    | hskp15
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18744]) ).

tcf(c_18909,negated_conjecture,
    ( iPr_def_21
    | hskp30
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18745]) ).

tcf(c_18910,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18686]) ).

tcf(c_18911,negated_conjecture,
    ( iPr_def_36
    | hskp24
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_18746]) ).

tcf(c_18913,negated_conjecture,
    ( iPr_def_36
    | hskp15
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18747]) ).

tcf(c_18915,negated_conjecture,
    ( iPr_def_36
    | hskp23
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_18748]) ).

tcf(c_18916,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_36
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18716]) ).

tcf(c_18917,negated_conjecture,
    ( iPr_def_18
    | hskp16
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18749]) ).

tcf(c_18919,negated_conjecture,
    ( iPr_def_18
    | hskp25
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18750]) ).

tcf(c_18921,negated_conjecture,
    ( iPr_def_18
    | hskp17
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18751]) ).

tcf(c_18923,negated_conjecture,
    ( iPr_def_18
    | hskp24
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18752]) ).

tcf(c_18924,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_18
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18680]) ).

tcf(c_18925,negated_conjecture,
    ( iPr_def_16
    | hskp29
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18753]) ).

tcf(c_18926,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18678]) ).

tcf(c_18927,negated_conjecture,
    ( iPr_def_15
    | hskp28
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18754]) ).

tcf(c_18928,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18676]) ).

tcf(c_18929,negated_conjecture,
    ( iPr_def_17
    | hskp21
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_18755]) ).

tcf(c_18930,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18679]) ).

tcf(c_18931,negated_conjecture,
    ( iPr_def_38
    | hskp3
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18756]) ).

tcf(c_18932,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_38
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18720]) ).

tcf(c_18933,negated_conjecture,
    ( iPr_def_26
    | hskp14
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_18757]) ).

tcf(c_18935,negated_conjecture,
    ( iPr_def_26
    | hskp15
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_18758]) ).

tcf(c_18937,negated_conjecture,
    ( iPr_def_26
    | hskp28
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_18759]) ).

tcf(c_18938,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18693]) ).

tcf(c_18939,negated_conjecture,
    ( iPr_def_42
    | hskp17
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_18761]) ).

tcf(c_18940,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_42
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18760]) ).

tcf(c_18941,negated_conjecture,
    ( iPr_def_34
    | hskp18
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18762]) ).

tcf(c_18943,negated_conjecture,
    ( iPr_def_34
    | hskp15
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18763]) ).

tcf(c_18944,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_34
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18705]) ).

tcf(c_18945,negated_conjecture,
    ( iPr_def_14
    | hskp22
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18764]) ).

tcf(c_18947,negated_conjecture,
    ( iPr_def_14
    | hskp23
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_18765]) ).

tcf(c_18949,negated_conjecture,
    ( iPr_def_14
    | hskp18
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_18766]) ).

tcf(c_18950,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18675]) ).

tcf(c_18951,negated_conjecture,
    ( iPr_def_30
    | hskp10
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18767]) ).

tcf(c_18952,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_30
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18699]) ).

tcf(c_18953,negated_conjecture,
    ( iPr_def_24
    | hskp21
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_18768]) ).

tcf(c_18955,negated_conjecture,
    ( iPr_def_24
    | hskp22
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18769]) ).

tcf(c_18956,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_24
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18690]) ).

tcf(c_18957,negated_conjecture,
    ( iPr_def_20
    | hskp1
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18770]) ).

tcf(c_18959,negated_conjecture,
    ( iPr_def_20
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18771]) ).

tcf(c_18960,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_18684]) ).

tcf(c_18961,negated_conjecture,
    ( iPr_def_22
    | hskp8
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_18772]) ).

tcf(c_18962,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_18687]) ).

tcf(c_18963,negated_conjecture,
    ( iPr_def_32
    | hskp21
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_18773]) ).

tcf(c_18964,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_32 ),
    inference(demodulation,[status(thm)],[c_18702]) ).

tcf(c_18965,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_252]) ).

tcf(c_18966,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_251]) ).

tcf(c_18967,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_250]) ).

tcf(c_18968,negated_conjecture,
    ( hskp16
    | hskp4
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_249]) ).

tcf(c_18969,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_248]) ).

tcf(c_18970,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_247]) ).

tcf(c_18971,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_246]) ).

tcf(c_18972,negated_conjecture,
    ( c3_1(a54)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_172]) ).

tcf(c_18973,negated_conjecture,
    ( c2_1(a54)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_171]) ).

tcf(c_18974,negated_conjecture,
    ( c0_1(a54)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_170]) ).

tcf(c_18975,negated_conjecture,
    ( c2_1(a35)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_168]) ).

tcf(c_18976,negated_conjecture,
    ( c1_1(a35)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_167]) ).

tcf(c_18977,negated_conjecture,
    ( c0_1(a35)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_166]) ).

tcf(c_18978,negated_conjecture,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_164]) ).

tcf(c_18979,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_163]) ).

tcf(c_18980,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_162]) ).

tcf(c_18981,negated_conjecture,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_160]) ).

tcf(c_18982,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_159]) ).

tcf(c_18983,negated_conjecture,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(demodulation,[status(thm)],[c_158]) ).

tcf(c_18984,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a70) ),
    inference(demodulation,[status(thm)],[c_152]) ).

tcf(c_18985,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a70) ),
    inference(demodulation,[status(thm)],[c_151]) ).

tcf(c_18986,negated_conjecture,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(demodulation,[status(thm)],[c_150]) ).

tcf(c_18987,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(demodulation,[status(thm)],[c_148]) ).

tcf(c_18988,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a58) ),
    inference(demodulation,[status(thm)],[c_147]) ).

tcf(c_18989,negated_conjecture,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(demodulation,[status(thm)],[c_146]) ).

tcf(c_18990,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a45) ),
    inference(demodulation,[status(thm)],[c_144]) ).

tcf(c_18991,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a45) ),
    inference(demodulation,[status(thm)],[c_143]) ).

tcf(c_18992,negated_conjecture,
    ( c3_1(a45)
    | ~ hskp23 ),
    inference(demodulation,[status(thm)],[c_142]) ).

tcf(c_18993,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a42) ),
    inference(demodulation,[status(thm)],[c_140]) ).

tcf(c_18994,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(demodulation,[status(thm)],[c_139]) ).

tcf(c_18995,negated_conjecture,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(demodulation,[status(thm)],[c_138]) ).

tcf(c_18996,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a38) ),
    inference(demodulation,[status(thm)],[c_136]) ).

tcf(c_18997,negated_conjecture,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(demodulation,[status(thm)],[c_135]) ).

tcf(c_18998,negated_conjecture,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(demodulation,[status(thm)],[c_134]) ).

tcf(c_18999,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(demodulation,[status(thm)],[c_132]) ).

tcf(c_19000,negated_conjecture,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(demodulation,[status(thm)],[c_131]) ).

tcf(c_19001,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(demodulation,[status(thm)],[c_130]) ).

tcf(c_19002,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(demodulation,[status(thm)],[c_128]) ).

tcf(c_19003,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(demodulation,[status(thm)],[c_127]) ).

tcf(c_19004,negated_conjecture,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(demodulation,[status(thm)],[c_126]) ).

tcf(c_19005,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a31) ),
    inference(demodulation,[status(thm)],[c_124]) ).

tcf(c_19006,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a31) ),
    inference(demodulation,[status(thm)],[c_123]) ).

tcf(c_19007,negated_conjecture,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(demodulation,[status(thm)],[c_122]) ).

tcf(c_19008,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a28) ),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_19009,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a28) ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_19010,negated_conjecture,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(demodulation,[status(thm)],[c_118]) ).

tcf(c_19011,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a27) ),
    inference(demodulation,[status(thm)],[c_116]) ).

tcf(c_19012,negated_conjecture,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(demodulation,[status(thm)],[c_115]) ).

tcf(c_19013,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(demodulation,[status(thm)],[c_114]) ).

tcf(c_19014,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a24) ),
    inference(demodulation,[status(thm)],[c_112]) ).

tcf(c_19015,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a24) ),
    inference(demodulation,[status(thm)],[c_111]) ).

tcf(c_19016,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a24) ),
    inference(demodulation,[status(thm)],[c_110]) ).

tcf(c_19017,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a22) ),
    inference(demodulation,[status(thm)],[c_108]) ).

tcf(c_19018,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_19019,negated_conjecture,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_19020,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a21) ),
    inference(demodulation,[status(thm)],[c_104]) ).

tcf(c_19021,negated_conjecture,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(demodulation,[status(thm)],[c_103]) ).

tcf(c_19022,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(demodulation,[status(thm)],[c_102]) ).

tcf(c_19023,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_19024,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a20) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_19025,negated_conjecture,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_19026,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_19027,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_19028,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_19029,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_19030,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_19031,negated_conjecture,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_19032,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_19033,negated_conjecture,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_19034,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_19035,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a15) ),
    inference(demodulation,[status(thm)],[c_84]) ).

tcf(c_19036,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(demodulation,[status(thm)],[c_83]) ).

tcf(c_19037,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_19038,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(demodulation,[status(thm)],[c_80]) ).

tcf(c_19039,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a14) ),
    inference(demodulation,[status(thm)],[c_79]) ).

tcf(c_19040,negated_conjecture,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(demodulation,[status(thm)],[c_78]) ).

tcf(c_19041,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a13) ),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_19042,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a13) ),
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_19043,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a13) ),
    inference(demodulation,[status(thm)],[c_74]) ).

tcf(c_19044,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a11) ),
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_19045,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a11) ),
    inference(demodulation,[status(thm)],[c_71]) ).

tcf(c_19046,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(demodulation,[status(thm)],[c_70]) ).

tcf(c_19047,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a9) ),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_19048,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a9) ),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_19049,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_19050,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a7) ),
    inference(demodulation,[status(thm)],[c_64]) ).

tcf(c_19051,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(demodulation,[status(thm)],[c_63]) ).

tcf(c_19052,negated_conjecture,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_19053,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(demodulation,[status(thm)],[c_60]) ).

tcf(c_19054,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_19055,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_19056,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(demodulation,[status(thm)],[c_56]) ).

tcf(c_19057,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(demodulation,[status(thm)],[c_55]) ).

tcf(c_19058,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(demodulation,[status(thm)],[c_54]) ).

tcf(c_19059,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(demodulation,[status(thm)],[c_52]) ).

tcf(c_19060,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(demodulation,[status(thm)],[c_51]) ).

tcf(c_19061,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_20103,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_18940,c_18904,c_18886,c_18869,c_18932,c_18916,c_18850,c_18892,c_18872,c_18944,c_18964,c_18952,c_18815,c_18812,c_18839,c_18938,c_18814,c_18859,c_18956,c_18844,c_18910,c_18962,c_18960,c_18868,c_18926,c_18930,c_18924,c_18900,c_18950,c_18928,c_18780,c_18906,c_18902,c_18963,c_18961,c_18959,c_18957,c_18955,c_18953,c_18951,c_18949,c_18947,c_18945,c_18943,c_18941,c_18939,c_18937,c_18935,c_18933,c_18931,c_18929,c_18927,c_18925,c_18923,c_18921,c_18919,c_18917,c_18915,c_18913,c_18911,c_18909,c_18907,c_18905,c_18903,c_18901,c_18899,c_18897,c_18895,c_18893,c_18891,c_18888,c_18885,c_18882,c_18879,c_18876,c_18873,c_18870,c_18867,c_18864,c_18861,c_18858,c_18855,c_18852,c_18849,c_18846,c_18843,c_18840,c_18837,c_18834,c_18831,c_18828,c_18825,c_18821,c_18817,c_18813,c_18809,c_18805,c_18801,c_18797,c_18793,c_18789,c_18785,c_18781,c_18777,c_18774,c_18775,c_18776,c_18965,c_18966,c_18967,c_18968,c_18969,c_18970,c_18971,c_18972,c_18973,c_18974,c_18975,c_18976,c_18977,c_18978,c_18979,c_18980,c_18981,c_18982,c_18983,c_18984,c_18985,c_18986,c_18987,c_18988,c_18989,c_18990,c_18991,c_18992,c_18993,c_18994,c_18995,c_18996,c_18997,c_18998,c_18999,c_19000,c_19001,c_19002,c_19003,c_19004,c_19005,c_19006,c_19007,c_19008,c_19009,c_19010,c_19011,c_19012,c_19013,c_19014,c_19015,c_19016,c_19017,c_19018,c_19019,c_19020,c_19021,c_19022,c_19023,c_19024,c_19025,c_19026,c_19027,c_19028,c_19029,c_19030,c_19031,c_19032,c_19033,c_19034,c_19035,c_19036,c_19037,c_19038,c_19039,c_19040,c_19041,c_19042,c_19043,c_19044,c_19045,c_19046,c_19047,c_19048,c_19049,c_19050,c_19051,c_19052,c_19053,c_19054,c_19055,c_19056,c_19057,c_19058,c_19059,c_19060,c_19061]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN498+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n006.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 01:33:11 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 2.27/1.29  % SZS status Started for theBenchmark.p
% 2.27/1.29  % SZS status Theorem for theBenchmark.p
% 2.27/1.29  
% 2.27/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.27/1.29  
% 2.27/1.29  % ------  iProver source info
% 2.27/1.29  
% 2.27/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 2.27/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.27/1.29  % git: non_committed_changes: false
% 2.27/1.29  
% 2.27/1.29  % ------ Parsing...
% 2.27/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.27/1.29  % 
% 2.27/1.29  
% 2.27/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.27/1.29  
% 2.27/1.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.27/1.29   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.27/1.29  % ------ Proving...
% 2.27/1.29  % ------ Problem Properties 
% 2.27/1.29  
% 2.27/1.29  % 
% 2.27/1.29  % clauses                               204
% 2.27/1.29  % conjectures                           201
% 2.27/1.29  % EPR                                   204
% 2.27/1.29  % Horn                                  107
% 2.27/1.29  % unary                                 0
% 2.27/1.29  % binary                                90
% 2.27/1.29  % lits                                  554
% 2.27/1.29  % lits eq                               0
% 2.27/1.29  % fd_pure                               0
% 2.27/1.29  % fd_pseudo                             0
% 2.27/1.29  % fd_cond                               0
% 2.27/1.29  % fd_pseudo_cond                        0
% 2.27/1.29  % AC symbols                            0
% 2.27/1.29  
% 2.27/1.29  % ------ Schedule EPR non Horn non eq is on
% 2.27/1.29  
% 2.27/1.29  % ------ no equalities: superposition off 
% 2.27/1.29  
% 2.27/1.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.27/1.29  
% 2.27/1.29  
% 2.27/1.29  % ------ 
% 2.27/1.29  % Current options:
% 2.27/1.29  % ------ 
% 2.27/1.29  
% 2.27/1.29  
% 2.27/1.29  % 
% 2.27/1.29  
% 2.27/1.29  % ------ Proving...
% 2.27/1.29  % 
% 2.27/1.29  
% 2.27/1.29  % SZS status Theorem for theBenchmark.p
% 2.27/1.29  
% 2.27/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/1.31  
% 4.41/1.31  
%------------------------------------------------------------------------------