↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN455+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.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 03:40:18 PM UTC 2026

% Result   : Theorem 3.14s 1.19s
% Output   : CNFRefutation 4.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f190ERROR: Could not build tree for root c_15913ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp21
        | hskp13
        | hskp12 )
      & ( hskp4
        | hskp14
        | hskp20 )
      & ( hskp21
        | hskp5
        | hskp26 )
      & ( hskp12
        | hskp11
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c1_1(X89) ) ) )
      & ( hskp15
        | hskp23
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( hskp8
        | hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp17
        | hskp30
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp13
        | hskp27
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp21
        | hskp10
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp21
        | hskp25
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp7
        | hskp5
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp10
        | hskp1
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp25
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp24
        | hskp30
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp9
        | hskp30
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp16
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | c3_1(X70)
              | c2_1(X70) ) ) )
      & ( hskp23
        | hskp1
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) ) )
      & ( hskp14
        | hskp6
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c2_1(X68) ) ) )
      & ( hskp0
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) ) )
      & ( hskp22
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c3_1(X64)
              | c2_1(X64) ) ) )
      & ( hskp28
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c0_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp1
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp21
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c0_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp27
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c0_1(X55)
              | c1_1(X55) ) ) )
      & ( hskp7
        | hskp30
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp9
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp18
        | hskp20
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) ) )
      & ( hskp19
        | hskp18
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp17
        | hskp12
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) ) )
      & ( hskp15
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | c2_1(X47)
              | c1_1(X47) ) ) )
      & ( hskp29
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | c2_1(X45)
              | c1_1(X45) ) ) )
      & ( hskp9
        | hskp27
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | c2_1(X44)
              | c1_1(X44) ) ) )
      & ( hskp27
        | hskp11
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c1_1(X43) ) ) )
      & ( hskp13
        | hskp7
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp16
        | hskp28
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp15
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp14
        | hskp7
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp13
        | hskp3
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp0
        | hskp2
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp12
        | hskp28
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c2_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp11
        | hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp10
        | hskp27
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp9
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | c2_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c1_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp7
        | hskp6
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp5
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp4
        | hskp3
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp2
        | hskp1
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c1_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp0
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c0_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp27
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a942)
          & c1_1(a942)
          & c0_1(a942)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a933)
          & c2_1(a933)
          & c0_1(a933)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a916)
          & c1_1(a916)
          & c0_1(a916)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a900)
          & c2_1(a900)
          & c1_1(a900)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a979)
          & c1_1(a979)
          & c0_1(a979)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a960)
          & c3_1(a960)
          & c0_1(a960)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a959)
          & ~ c1_1(a959)
          & ~ c0_1(a959)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a954)
          & c3_1(a954)
          & c1_1(a954)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a949)
          & c3_1(a949)
          & c2_1(a949)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a946)
          & ~ c2_1(a946)
          & ~ c0_1(a946)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a939)
          & ~ c1_1(a939)
          & c0_1(a939)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a938)
          & c3_1(a938)
          & c2_1(a938)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a937)
          & ~ c0_1(a937)
          & c1_1(a937)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a936)
          & ~ c2_1(a936)
          & ~ c1_1(a936)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a926)
          & c2_1(a926)
          & c1_1(a926)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a924)
          & ~ c0_1(a924)
          & c2_1(a924)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a923)
          & ~ c0_1(a923)
          & c3_1(a923)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a921)
          & ~ c0_1(a921)
          & c2_1(a921)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a917)
          & c3_1(a917)
          & c1_1(a917)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a914)
          & c3_1(a914)
          & c0_1(a914)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a912)
          & c2_1(a912)
          & c1_1(a912)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a910)
          & ~ c1_1(a910)
          & c2_1(a910)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a909)
          & ~ c0_1(a909)
          & c1_1(a909)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a908)
          & ~ c2_1(a908)
          & c1_1(a908)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a907)
          & c1_1(a907)
          & c0_1(a907)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a906)
          & c2_1(a906)
          & c0_1(a906)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a905)
          & ~ c0_1(a905)
          & c3_1(a905)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a904)
          & ~ c1_1(a904)
          & c0_1(a904)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a903)
          & ~ c2_1(a903)
          & c0_1(a903)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a902)
          & c2_1(a902)
          & c0_1(a902)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a901)
          & ~ c1_1(a901)
          & ~ c0_1(a901)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp21
          | hskp13
          | hskp12 )
        & ( hskp4
          | hskp14
          | hskp20 )
        & ( hskp21
          | hskp5
          | hskp26 )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) ) )
        & ( hskp15
          | hskp23
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( hskp8
          | hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp17
          | hskp30
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp13
          | hskp27
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp21
          | hskp10
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp21
          | hskp25
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp7
          | hskp5
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp10
          | hskp1
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp25
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp24
          | hskp30
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp9
          | hskp30
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp16
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c3_1(X70)
                | c2_1(X70) ) ) )
        & ( hskp23
          | hskp1
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp14
          | hskp6
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) ) )
        & ( hskp0
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) ) )
        & ( hskp22
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) ) )
        & ( hskp28
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp1
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp21
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c0_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp27
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp7
          | hskp30
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp9
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp18
          | hskp20
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp19
          | hskp18
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp17
          | hskp12
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp15
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp29
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp9
          | hskp27
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp27
          | hskp11
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp13
          | hskp7
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp16
          | hskp28
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp14
          | hskp7
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp13
          | hskp3
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp0
          | hskp2
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp12
          | hskp28
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp11
          | hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp10
          | hskp27
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp7
          | hskp6
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp5
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp2
          | hskp1
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp27
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a942)
            & c1_1(a942)
            & c0_1(a942)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a933)
            & c2_1(a933)
            & c0_1(a933)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a916)
            & c1_1(a916)
            & c0_1(a916)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a900)
            & c2_1(a900)
            & c1_1(a900)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a979)
            & c1_1(a979)
            & c0_1(a979)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a960)
            & c3_1(a960)
            & c0_1(a960)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a959)
            & ~ c1_1(a959)
            & ~ c0_1(a959)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a954)
            & c3_1(a954)
            & c1_1(a954)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a949)
            & c3_1(a949)
            & c2_1(a949)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a946)
            & ~ c2_1(a946)
            & ~ c0_1(a946)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a939)
            & ~ c1_1(a939)
            & c0_1(a939)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a938)
            & c3_1(a938)
            & c2_1(a938)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a937)
            & ~ c0_1(a937)
            & c1_1(a937)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a936)
            & ~ c2_1(a936)
            & ~ c1_1(a936)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a926)
            & c2_1(a926)
            & c1_1(a926)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a924)
            & ~ c0_1(a924)
            & c2_1(a924)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a923)
            & ~ c0_1(a923)
            & c3_1(a923)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a921)
            & ~ c0_1(a921)
            & c2_1(a921)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a917)
            & c3_1(a917)
            & c1_1(a917)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a914)
            & c3_1(a914)
            & c0_1(a914)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a912)
            & c2_1(a912)
            & c1_1(a912)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a910)
            & ~ c1_1(a910)
            & c2_1(a910)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a909)
            & ~ c0_1(a909)
            & c1_1(a909)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a908)
            & ~ c2_1(a908)
            & c1_1(a908)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a907)
            & c1_1(a907)
            & c0_1(a907)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a906)
            & c2_1(a906)
            & c0_1(a906)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a905)
            & ~ c0_1(a905)
            & c3_1(a905)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a904)
            & ~ c1_1(a904)
            & c0_1(a904)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a903)
            & ~ c2_1(a903)
            & c0_1(a903)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a902)
            & c2_1(a902)
            & c0_1(a902)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a901)
            & ~ c1_1(a901)
            & ~ c0_1(a901)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp21
      | hskp13
      | hskp12 )
    & ( hskp4
      | hskp14
      | hskp20 )
    & ( hskp21
      | hskp5
      | hskp26 )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | ~ c1_1(X89) ) ) )
    & ( hskp15
      | hskp23
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( hskp8
      | hskp20
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c3_1(X87) ) ) )
    & ( hskp17
      | hskp30
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) ) )
    & ( hskp13
      | hskp27
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) ) )
    & ( hskp21
      | hskp10
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp21
      | hskp25
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | c2_1(X83) ) ) )
    & ( hskp7
      | hskp5
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp10
      | hskp1
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp25
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) ) )
    & ( hskp24
      | hskp30
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) ) )
    & ( hskp9
      | hskp30
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) ) )
    & ( hskp16
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c1_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c1_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c0_1(X73)
            | c3_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | c2_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c3_1(X70)
            | c2_1(X70) ) ) )
    & ( hskp23
      | hskp1
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c2_1(X69) ) ) )
    & ( hskp14
      | hskp6
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c2_1(X68) ) ) )
    & ( hskp0
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c3_1(X66)
            | c2_1(X66) ) ) )
    & ( hskp22
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) ) )
    & ( hskp28
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp1
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c0_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp21
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c1_1(X59) ) ) )
    & ( hskp0
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c0_1(X57)
            | c1_1(X57) ) ) )
    & ( hskp27
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c3_1(X56)
            | c2_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c0_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp7
      | hskp30
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c3_1(X54)
            | c1_1(X54) ) ) )
    & ( hskp9
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp18
      | hskp20
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp17
      | hskp12
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp15
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp29
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp9
      | hskp27
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp27
      | hskp11
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp13
      | hskp7
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp16
      | hskp28
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp15
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp14
      | hskp7
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp13
      | hskp3
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp0
      | hskp2
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp12
      | hskp28
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp5
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c2_1(X31)
            | c0_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp10
      | hskp27
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp9
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp8
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp7
      | hskp6
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp5
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | ~ c1_1(X18)
            | c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp2
      | hskp1
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c1_1(X12)
            | c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp0
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp27
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c0_1(X5)
            | c3_1(X5)
            | c1_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | c3_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a942)
        & c1_1(a942)
        & c0_1(a942)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a933)
        & c2_1(a933)
        & c0_1(a933)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a916)
        & c1_1(a916)
        & c0_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c1_1(a900)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a979)
        & c1_1(a979)
        & c0_1(a979)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a960)
        & c3_1(a960)
        & c0_1(a960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a959)
        & ~ c1_1(a959)
        & ~ c0_1(a959)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a954)
        & c3_1(a954)
        & c1_1(a954)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a949)
        & c3_1(a949)
        & c2_1(a949)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a946)
        & ~ c2_1(a946)
        & ~ c0_1(a946)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a939)
        & ~ c1_1(a939)
        & c0_1(a939)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a938)
        & c3_1(a938)
        & c2_1(a938)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & c1_1(a937)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a936)
        & ~ c2_1(a936)
        & ~ c1_1(a936)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a926)
        & c2_1(a926)
        & c1_1(a926)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a924)
        & ~ c0_1(a924)
        & c2_1(a924)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a923)
        & ~ c0_1(a923)
        & c3_1(a923)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a921)
        & ~ c0_1(a921)
        & c2_1(a921)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a917)
        & c3_1(a917)
        & c1_1(a917)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & c0_1(a914)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a912)
        & c2_1(a912)
        & c1_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a910)
        & ~ c1_1(a910)
        & c2_1(a910)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a909)
        & ~ c0_1(a909)
        & c1_1(a909)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a908)
        & ~ c2_1(a908)
        & c1_1(a908)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a907)
        & c1_1(a907)
        & c0_1(a907)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a906)
        & c2_1(a906)
        & c0_1(a906)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & c3_1(a905)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a904)
        & ~ c1_1(a904)
        & c0_1(a904)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a903)
        & ~ c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a902)
        & c2_1(a902)
        & c0_1(a902)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a901)
        & ~ c1_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp21
      | hskp13
      | hskp12 )
    & ( hskp4
      | hskp14
      | hskp20 )
    & ( hskp21
      | hskp5
      | hskp26 )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89) ) )
    & ( hskp15
      | hskp23
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp8
      | hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp17
      | hskp30
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp13
      | hskp27
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp21
      | hskp10
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84) ) )
    & ( hskp21
      | hskp25
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) ) )
    & ( hskp7
      | hskp5
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) ) )
    & ( hskp10
      | hskp1
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) ) )
    & ( hskp25
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) ) )
    & ( hskp24
      | hskp30
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) ) )
    & ( hskp9
      | hskp30
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77) ) )
    & ( hskp16
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c1_1(X70)
          | c3_1(X70)
          | c2_1(X70) ) )
    & ( hskp23
      | hskp1
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69) ) )
    & ( hskp14
      | hskp6
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68) ) )
    & ( hskp0
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c3_1(X66)
          | c2_1(X66) ) )
    & ( hskp22
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64) ) )
    & ( hskp28
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63) ) )
    & ( hskp1
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61) ) )
    & ( hskp21
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c1_1(X57) ) )
    & ( hskp27
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | c3_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55) ) )
    & ( hskp7
      | hskp30
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c3_1(X54)
          | c1_1(X54) ) )
    & ( hskp9
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c0_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) ) )
    & ( hskp18
      | hskp20
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c2_1(X51)
          | c1_1(X51) ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50) ) )
    & ( hskp17
      | hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49) ) )
    & ( hskp15
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47) ) )
    & ( hskp29
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45) ) )
    & ( hskp9
      | hskp27
      | ! [X44] :
          ( ~ ndr1_0
          | c3_1(X44)
          | c2_1(X44)
          | c1_1(X44) ) )
    & ( hskp27
      | hskp11
      | ! [X43] :
          ( ~ ndr1_0
          | c3_1(X43)
          | c2_1(X43)
          | c1_1(X43) ) )
    & ( hskp13
      | hskp7
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp16
      | hskp28
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp15
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp14
      | hskp7
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) ) )
    & ( hskp13
      | hskp3
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp0
      | hskp2
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c0_1(X33) ) )
    & ( hskp12
      | hskp28
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c2_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | hskp27
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp9
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp7
      | hskp6
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp5
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp2
      | hskp1
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp0
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp27
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c0_1(X5)
          | c3_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c3_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a942)
        & c1_1(a942)
        & c0_1(a942)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a933)
        & c2_1(a933)
        & c0_1(a933)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a916)
        & c1_1(a916)
        & c0_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c1_1(a900)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a979)
        & c1_1(a979)
        & c0_1(a979)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a960)
        & c3_1(a960)
        & c0_1(a960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a959)
        & ~ c1_1(a959)
        & ~ c0_1(a959)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a954)
        & c3_1(a954)
        & c1_1(a954)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a949)
        & c3_1(a949)
        & c2_1(a949)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a946)
        & ~ c2_1(a946)
        & ~ c0_1(a946)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a939)
        & ~ c1_1(a939)
        & c0_1(a939)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a938)
        & c3_1(a938)
        & c2_1(a938)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & c1_1(a937)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a936)
        & ~ c2_1(a936)
        & ~ c1_1(a936)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a926)
        & c2_1(a926)
        & c1_1(a926)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a924)
        & ~ c0_1(a924)
        & c2_1(a924)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a923)
        & ~ c0_1(a923)
        & c3_1(a923)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a921)
        & ~ c0_1(a921)
        & c2_1(a921)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a917)
        & c3_1(a917)
        & c1_1(a917)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & c0_1(a914)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a912)
        & c2_1(a912)
        & c1_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a910)
        & ~ c1_1(a910)
        & c2_1(a910)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a909)
        & ~ c0_1(a909)
        & c1_1(a909)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a908)
        & ~ c2_1(a908)
        & c1_1(a908)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a907)
        & c1_1(a907)
        & c0_1(a907)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a906)
        & c2_1(a906)
        & c0_1(a906)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & c3_1(a905)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a904)
        & ~ c1_1(a904)
        & c0_1(a904)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a903)
        & ~ c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a902)
        & c2_1(a902)
        & c0_1(a902)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a901)
        & ~ c1_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp21
      | hskp13
      | hskp12 )
    & ( hskp4
      | hskp14
      | hskp20 )
    & ( hskp21
      | hskp5
      | hskp26 )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89) ) )
    & ( hskp15
      | hskp23
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp8
      | hskp20
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp17
      | hskp30
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp13
      | hskp27
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp21
      | hskp10
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84) ) )
    & ( hskp21
      | hskp25
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) ) )
    & ( hskp7
      | hskp5
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) ) )
    & ( hskp10
      | hskp1
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) ) )
    & ( hskp25
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) ) )
    & ( hskp24
      | hskp30
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) ) )
    & ( hskp9
      | hskp30
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77) ) )
    & ( hskp16
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c1_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c1_1(X70)
          | c3_1(X70)
          | c2_1(X70) ) )
    & ( hskp23
      | hskp1
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c2_1(X69) ) )
    & ( hskp14
      | hskp6
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68) ) )
    & ( hskp0
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c3_1(X66)
          | c2_1(X66) ) )
    & ( hskp22
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c3_1(X64)
          | c2_1(X64) ) )
    & ( hskp28
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c0_1(X63)
          | c1_1(X63) ) )
    & ( hskp1
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c1_1(X61) ) )
    & ( hskp21
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c1_1(X57) ) )
    & ( hskp27
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | c3_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55) ) )
    & ( hskp7
      | hskp30
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | c3_1(X54)
          | c1_1(X54) ) )
    & ( hskp9
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | ~ c0_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) ) )
    & ( hskp18
      | hskp20
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | c2_1(X51)
          | c1_1(X51) ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50) ) )
    & ( hskp17
      | hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49) ) )
    & ( hskp15
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47) ) )
    & ( hskp29
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45) ) )
    & ( hskp9
      | hskp27
      | ! [X44] :
          ( ~ ndr1_0
          | c3_1(X44)
          | c2_1(X44)
          | c1_1(X44) ) )
    & ( hskp27
      | hskp11
      | ! [X43] :
          ( ~ ndr1_0
          | c3_1(X43)
          | c2_1(X43)
          | c1_1(X43) ) )
    & ( hskp13
      | hskp7
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42) ) )
    & ( hskp16
      | hskp28
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp15
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp14
      | hskp7
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) ) )
    & ( hskp13
      | hskp3
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp0
      | hskp2
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c0_1(X33) ) )
    & ( hskp12
      | hskp28
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c2_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | hskp6
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( hskp10
      | hskp27
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp9
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp7
      | hskp6
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp5
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp2
      | hskp1
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp0
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp27
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c0_1(X5)
          | c3_1(X5)
          | c1_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | c3_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a942)
        & c1_1(a942)
        & c0_1(a942)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a933)
        & c2_1(a933)
        & c0_1(a933)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a916)
        & c1_1(a916)
        & c0_1(a916)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c1_1(a900)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a979)
        & c1_1(a979)
        & c0_1(a979)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a960)
        & c3_1(a960)
        & c0_1(a960)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a959)
        & ~ c1_1(a959)
        & ~ c0_1(a959)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a954)
        & c3_1(a954)
        & c1_1(a954)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a949)
        & c3_1(a949)
        & c2_1(a949)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a946)
        & ~ c2_1(a946)
        & ~ c0_1(a946)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a939)
        & ~ c1_1(a939)
        & c0_1(a939)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a938)
        & c3_1(a938)
        & c2_1(a938)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a937)
        & ~ c0_1(a937)
        & c1_1(a937)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a936)
        & ~ c2_1(a936)
        & ~ c1_1(a936)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a926)
        & c2_1(a926)
        & c1_1(a926)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a924)
        & ~ c0_1(a924)
        & c2_1(a924)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a923)
        & ~ c0_1(a923)
        & c3_1(a923)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a921)
        & ~ c0_1(a921)
        & c2_1(a921)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a917)
        & c3_1(a917)
        & c1_1(a917)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a914)
        & c3_1(a914)
        & c0_1(a914)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a912)
        & c2_1(a912)
        & c1_1(a912)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a910)
        & ~ c1_1(a910)
        & c2_1(a910)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a909)
        & ~ c0_1(a909)
        & c1_1(a909)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a908)
        & ~ c2_1(a908)
        & c1_1(a908)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a907)
        & c1_1(a907)
        & c0_1(a907)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a906)
        & c2_1(a906)
        & c0_1(a906)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a905)
        & ~ c0_1(a905)
        & c3_1(a905)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a904)
        & ~ c1_1(a904)
        & c0_1(a904)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a903)
        & ~ c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a902)
        & c2_1(a902)
        & c0_1(a902)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a901)
        & ~ c1_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp21
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp4
    | hskp14
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp21
    | hskp5
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X89] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | ~ c1_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X88] :
      ( hskp15
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X88)
      | ~ c2_1(X88)
      | ~ c0_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X84] :
      ( hskp21
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | c2_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X82] :
      ( hskp7
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c2_1(X82) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X68] :
      ( hskp14
      | hskp6
      | ~ ndr1_0
      | ~ c0_1(X68)
      | c3_1(X68)
      | c2_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X63] :
      ( hskp28
      | ~ ndr1_0
      | ~ c3_1(X63)
      | ~ c0_1(X63)
      | c1_1(X63) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X54] :
      ( hskp7
      | hskp30
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c3_1(X54)
      | c1_1(X54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X49] :
      ( hskp17
      | hskp12
      | ~ ndr1_0
      | ~ c0_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X43] :
      ( hskp27
      | hskp11
      | ~ ndr1_0
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X42] :
      ( hskp13
      | hskp7
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X38] :
      ( hskp14
      | hskp7
      | ~ ndr1_0
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X33] :
      ( hskp0
      | hskp2
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c3_1(X33)
      | c0_1(X33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X32] :
      ( hskp12
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c0_1(X32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X29] :
      ( hskp11
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X29)
      | c3_1(X29)
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X28] :
      ( hskp10
      | hskp27
      | ~ ndr1_0
      | c3_1(X28)
      | c2_1(X28)
      | c0_1(X28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X23] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X23)
      | c1_1(X23)
      | c0_1(X23) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X13] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | c2_1(X13)
      | c1_1(X13)
      | c0_1(X13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( c2_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( c1_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( c0_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c1_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c0_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c3_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c2_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ c0_1(a946)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c1_1(a936)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c3_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c3_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c0_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c1_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c2_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c1_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c1_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c2_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c0_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c3_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c2_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c1_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c2_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c0_1(a901)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a902)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_66,negated_conjecture,
    ( c3_1(a905)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a905) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_69,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_71,negated_conjecture,
    ( c2_1(a906)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_75,negated_conjecture,
    ( c1_1(a907)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_78,negated_conjecture,
    ( c1_1(a908)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_90,negated_conjecture,
    ( c1_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_91,negated_conjecture,
    ( c2_1(a912)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a917)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_102,negated_conjecture,
    ( c2_1(a921)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_106,negated_conjecture,
    ( c3_1(a923)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a924)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_118,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_130,negated_conjecture,
    ( c0_1(a939)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a939) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_133,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_134,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a954)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_153,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_159,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a916)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_171,negated_conjecture,
    ( c1_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_172,negated_conjecture,
    ( c2_1(a942)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp10
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp11
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp12
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp7
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp6
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_230,negated_conjecture,
    ( hskp26
    | hskp21
    | hskp5 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_231,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_232,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_260,plain,
    ( hskp14
    | hskp7
    | c0_1(a900)
    | ~ ndr1_0
    | ~ c2_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_193]) ).

tcf(c_262,plain,
    ( hskp12
    | hskp11
    | ~ ndr1_0
    | ~ c2_1(a900)
    | ~ c3_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_229]) ).

tcf(c_267,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_169,c_230,c_153,c_133,c_69]) ).

tcf(c_332,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp11
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_230,c_153,c_133,c_69,c_197]) ).

tcf(c_335,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp10
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_230,c_153,c_133,c_69,c_186]) ).

tcf(c_338,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_230,c_153,c_133,c_69,c_178]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp6
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_230,c_153,c_133,c_69,c_213]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_230,c_153,c_133,c_69,c_210]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

tcf(c_353,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp7
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_230,c_153,c_133,c_69,c_205]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp12
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_230,c_153,c_133,c_69,c_201]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_230,c_153,c_133,c_69,c_190]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_230,c_153,c_133,c_69,c_189]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp6
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_230,c_153,c_133,c_69,c_187]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_230,c_153,c_133,c_69,c_183]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_230,c_153,c_133,c_69,c_224]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp10
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_395,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp5
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_230,c_153,c_133,c_69,c_222]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp5
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_395]) ).

tcf(c_404,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp7
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_230,c_153,c_133,c_69,c_196]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp7
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_230,c_153,c_133,c_69,c_193]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_416,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_230,c_153,c_133,c_69,c_229]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_230,c_153,c_133,c_69,c_228]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp15
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_230,c_153,c_133,c_69,c_215]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_424]) ).

tcf(c_428,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_230,c_153,c_133,c_69,c_176]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_230,c_153,c_133,c_69,c_212]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_230,c_153,c_133,c_69,c_208]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_230,c_153,c_133,c_69,c_188]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_446,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_230,c_153,c_133,c_69,c_220]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_446]) ).

tcf(c_452,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_230,c_153,c_133,c_69,c_204]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_452]) ).

tcf(c_454,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_230,c_153,c_133,c_69,c_200]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_454]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_230,c_153,c_133,c_69,c_182]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_458,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_230,c_153,c_133,c_69,c_209]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_230,c_153,c_133,c_69,c_194]) ).

tcf(c_461,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_460]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_230,c_153,c_133,c_69,c_179]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_230,c_153,c_133,c_69,c_174]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_230,c_153,c_133,c_69,c_180]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_230,c_153,c_133,c_69,c_177]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_173,c_267]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_230,c_153,c_133,c_69,c_191]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_230,c_153,c_133,c_69,c_216]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_1964,plain,
    ( hskp20
    | hskp14
    | ~ c2_1(a905) ),
    inference(resolution,[status(thm)],[c_231,c_68]) ).

tcf(c_1974,plain,
    ( hskp20
    | hskp14
    | ~ c0_1(a905) ),
    inference(resolution,[status(thm)],[c_231,c_67]) ).

tcf(c_1984,plain,
    ( hskp20
    | hskp14
    | c3_1(a905) ),
    inference(resolution,[status(thm)],[c_231,c_66]) ).

tcf(c_4637,plain,
    ( hskp21
    | hskp12
    | ~ c3_1(a921) ),
    inference(resolution,[status(thm)],[c_232,c_104]) ).

tcf(c_4647,plain,
    ( hskp21
    | hskp12
    | ~ c0_1(a921) ),
    inference(resolution,[status(thm)],[c_232,c_103]) ).

tcf(c_4657,plain,
    ( hskp21
    | hskp12
    | c2_1(a921) ),
    inference(resolution,[status(thm)],[c_232,c_102]) ).

tcf(c_7094,plain,
    ( hskp13
    | hskp12
    | ~ c3_1(a946) ),
    inference(resolution,[status(thm)],[c_232,c_136]) ).

tcf(c_7104,plain,
    ( hskp13
    | hskp12
    | ~ c2_1(a946) ),
    inference(resolution,[status(thm)],[c_232,c_135]) ).

tcf(c_7114,plain,
    ( hskp13
    | hskp12
    | ~ c0_1(a946) ),
    inference(resolution,[status(thm)],[c_232,c_134]) ).

tcf(c_14582,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_476]) ).

tcf(c_14583,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_476]) ).

tcf(c_14584,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_476]) ).

tcf(c_14585,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_14586,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_474]) ).

tcf(c_14587,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_474]) ).

tcf(c_14588,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_474]) ).

tcf(c_14589,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_14590,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_472]) ).

tcf(c_14591,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_472]) ).

tcf(c_14592,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_14593,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_470]) ).

tcf(c_14594,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

tcf(c_14595,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_468]) ).

tcf(c_14596,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_468]) ).

tcf(c_14598,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_466]) ).

tcf(c_14599,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_466]) ).

tcf(c_14600,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_14601,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_463]) ).

tcf(c_14602,negated_conjecture,
    ( iPr_def_23
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_14603,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_461]) ).

tcf(c_14604,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_461]) ).

tcf(c_14605,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

tcf(c_14606,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_459]) ).

tcf(c_14608,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_457]) ).

tcf(c_14609,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_14610,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_455]) ).

tcf(c_14611,negated_conjecture,
    ( iPr_def_28
    | iPr_def_10
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

tcf(c_14612,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_453]) ).

tcf(c_14619,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_447]) ).

tcf(c_14620,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_447]) ).

tcf(c_14622,negated_conjecture,
    ( iPr_def_24
    | iPr_def_21
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_14625,negated_conjecture,
    ( iPr_def_26
    | iPr_def_11
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_14627,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_14630,negated_conjecture,
    ( iPr_def_34
    | iPr_def_17
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_14632,negated_conjecture,
    ( iPr_def_14
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

tcf(c_14634,negated_conjecture,
    ( iPr_def_29
    | hskp23
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_14635,negated_conjecture,
    ( iPr_def_25
    | hskp12
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_14637,negated_conjecture,
    ( iPr_def_15
    | hskp14
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_14639,negated_conjecture,
    ( iPr_def_24
    | hskp13
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_14642,negated_conjecture,
    ( iPr_def_34
    | hskp7
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

tcf(c_14644,negated_conjecture,
    ( iPr_def_14
    | hskp21
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_14650,negated_conjecture,
    ( iPr_def_27
    | hskp7
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_14651,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_371]) ).

tcf(c_14652,negated_conjecture,
    ( iPr_def_37
    | hskp11
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_14653,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_14654,negated_conjecture,
    ( iPr_def_21
    | hskp2
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_14655,negated_conjecture,
    ( iPr_def_28
    | hskp17
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_14659,negated_conjecture,
    ( iPr_def_22
    | hskp30
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_14660,negated_conjecture,
    ( iPr_def_20
    | hskp14
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_14663,negated_conjecture,
    ( iPr_def_17
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_338]) ).

tcf(c_14664,negated_conjecture,
    ( iPr_def_23
    | hskp27
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_335]) ).

tcf(c_14665,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_332]) ).

tcf(c_14666,negated_conjecture,
    ( iPr_def_39
    | hskp27
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_332]) ).

tcf(c_14671,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_14585]) ).

tcf(c_14675,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_14589]) ).

tcf(c_14678,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_13
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14586]) ).

tcf(c_14679,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_14592]) ).

tcf(c_14682,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14590]) ).

tcf(c_14683,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_14594]) ).

tcf(c_14691,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_14600]) ).

tcf(c_14695,negated_conjecture,
    ( iPr_def_23
    | iPr_def_20
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_14602]) ).

tcf(c_14698,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_14595]) ).

tcf(c_14699,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_14605]) ).

tcf(c_14705,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_14609]) ).

tcf(c_14708,negated_conjecture,
    ( iPr_def_28
    | iPr_def_10
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_14611]) ).

tcf(c_14710,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14582]) ).

tcf(c_14723,negated_conjecture,
    ( iPr_def_24
    | iPr_def_21
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_14622]) ).

tcf(c_14732,negated_conjecture,
    ( iPr_def_26
    | iPr_def_11
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_14625]) ).

tcf(c_14733,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14606]) ).

tcf(c_14738,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14627]) ).

tcf(c_14744,negated_conjecture,
    ( iPr_def_34
    | iPr_def_17
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14630]) ).

tcf(c_14750,negated_conjecture,
    ( iPr_def_14
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_14632]) ).

tcf(c_14756,negated_conjecture,
    ( iPr_def_29
    | hskp23
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_14634]) ).

tcf(c_14757,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14612]) ).

tcf(c_14758,negated_conjecture,
    ( iPr_def_25
    | hskp12
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_14635]) ).

tcf(c_14759,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14604]) ).

tcf(c_14762,negated_conjecture,
    ( iPr_def_15
    | hskp14
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14637]) ).

tcf(c_14763,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14588]) ).

tcf(c_14766,negated_conjecture,
    ( iPr_def_24
    | hskp13
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14639]) ).

tcf(c_14767,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_24
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14603]) ).

tcf(c_14772,negated_conjecture,
    ( iPr_def_34
    | hskp7
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_14642]) ).

tcf(c_14773,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14620]) ).

tcf(c_14776,negated_conjecture,
    ( iPr_def_14
    | hskp21
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_14644]) ).

tcf(c_14777,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14587]) ).

tcf(c_14779,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_33
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14619]) ).

tcf(c_14781,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14584]) ).

tcf(c_14783,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14593]) ).

tcf(c_14786,negated_conjecture,
    ( iPr_def_27
    | hskp7
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_14650]) ).

tcf(c_14787,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_27
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14608]) ).

tcf(c_14788,negated_conjecture,
    ( iPr_def_37
    | hskp11
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_14652]) ).

tcf(c_14789,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_37
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14651]) ).

tcf(c_14790,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_14653]) ).

tcf(c_14792,negated_conjecture,
    ( iPr_def_21
    | hskp2
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14654]) ).

tcf(c_14793,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14598]) ).

tcf(c_14794,negated_conjecture,
    ( iPr_def_28
    | hskp17
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_14655]) ).

tcf(c_14797,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_28
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14610]) ).

tcf(c_14800,negated_conjecture,
    ( iPr_def_22
    | hskp30
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14659]) ).

tcf(c_14801,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_22
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14599]) ).

tcf(c_14802,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_351]) ).

tcf(c_14803,negated_conjecture,
    ( iPr_def_20
    | hskp14
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_14660]) ).

tcf(c_14806,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_20
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14596]) ).

tcf(c_14808,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_11
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14583]) ).

tcf(c_14809,negated_conjecture,
    ( iPr_def_17
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_14663]) ).

tcf(c_14810,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_14591]) ).

tcf(c_14811,negated_conjecture,
    ( iPr_def_23
    | hskp27
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_14664]) ).

tcf(c_14812,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_14601]) ).

tcf(c_14813,negated_conjecture,
    ( iPr_def_39
    | hskp27
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_14666]) ).

tcf(c_14816,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_39 ),
    inference(demodulation,[status(thm)],[c_14665]) ).

tcf(c_14929,plain,
    ( c0_1(a900)
    | ~ iPr_def_24
    | ~ c2_1(a900)
    | ~ c3_1(a900) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_14936,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a900)
    | ~ c1_1(a900)
    | ~ c0_1(a900) ),
    inference(instantiation,[status(thm)],[c_14710]) ).

tcf(c_14937,plain,
    ( ~ iPr_def_25
    | ~ c2_1(a900)
    | ~ c3_1(a900)
    | ~ c1_1(a900) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

tcf(c_14939,plain,
    ( c3_1(a901)
    | c1_1(a901)
    | c0_1(a901)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_14698]) ).

tcf(c_14957,plain,
    ( ~ iPr_def_25
    | ~ c2_1(a916)
    | ~ c3_1(a916)
    | ~ c1_1(a916) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

tcf(c_14962,plain,
    ( c2_1(a907)
    | ~ iPr_def_14
    | ~ c3_1(a907)
    | ~ c1_1(a907) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_14964,plain,
    ( c2_1(a917)
    | ~ iPr_def_14
    | ~ c3_1(a917)
    | ~ c1_1(a917) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_14973,plain,
    ( c3_1(a901)
    | c0_1(a901)
    | ~ iPr_def_21
    | ~ c2_1(a901) ),
    inference(instantiation,[status(thm)],[c_14793]) ).

tcf(c_14978,plain,
    ( c3_1(a921)
    | c0_1(a921)
    | ~ iPr_def_21
    | ~ c2_1(a921) ),
    inference(instantiation,[status(thm)],[c_14793]) ).

tcf(c_14985,plain,
    ( c2_1(a903)
    | c3_1(a903)
    | ~ iPr_def_11
    | ~ c1_1(a903) ),
    inference(instantiation,[status(thm)],[c_14808]) ).

tcf(c_14987,plain,
    ( c2_1(a907)
    | c3_1(a907)
    | ~ iPr_def_11
    | ~ c1_1(a907) ),
    inference(instantiation,[status(thm)],[c_14808]) ).

tcf(c_14988,plain,
    ( c2_1(a908)
    | c3_1(a908)
    | ~ iPr_def_11
    | ~ c1_1(a908) ),
    inference(instantiation,[status(thm)],[c_14808]) ).

tcf(c_15005,plain,
    ( c2_1(a903)
    | c3_1(a903)
    | ~ iPr_def_20
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_14806]) ).

tcf(c_15007,plain,
    ( c2_1(a907)
    | c3_1(a907)
    | ~ iPr_def_20
    | ~ c0_1(a907) ),
    inference(instantiation,[status(thm)],[c_14806]) ).

tcf(c_15009,plain,
    ( ~ iPr_def_25
    | ~ c2_1(a942)
    | ~ c3_1(a942)
    | ~ c1_1(a942) ),
    inference(instantiation,[status(thm)],[c_14759]) ).

tcf(c_15018,plain,
    ( c2_1(a907)
    | ~ iPr_def_34
    | ~ c3_1(a907)
    | ~ c0_1(a907) ),
    inference(instantiation,[status(thm)],[c_14773]) ).

tcf(c_15020,plain,
    ( c1_1(a923)
    | c0_1(a923)
    | ~ iPr_def_27
    | ~ c3_1(a923) ),
    inference(instantiation,[status(thm)],[c_14787]) ).

tcf(c_15030,plain,
    ( c2_1(a914)
    | c1_1(a914)
    | ~ iPr_def_28
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14797]) ).

tcf(c_15031,plain,
    ( c2_1(a914)
    | ~ iPr_def_34
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14773]) ).

tcf(c_15037,plain,
    ( c2_1(a914)
    | ~ iPr_def_14
    | ~ c3_1(a914)
    | ~ c1_1(a914) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_15039,plain,
    ( c1_1(a914)
    | ~ iPr_def_26
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14733]) ).

tcf(c_15052,plain,
    ( c2_1(a916)
    | ~ iPr_def_34
    | ~ c3_1(a916)
    | ~ c0_1(a916) ),
    inference(instantiation,[status(thm)],[c_14773]) ).

tcf(c_15058,plain,
    ( c2_1(a916)
    | ~ iPr_def_14
    | ~ c3_1(a916)
    | ~ c1_1(a916) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_15063,plain,
    ( c2_1(a905)
    | c1_1(a905)
    | c0_1(a905)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14810]) ).

tcf(c_15066,plain,
    ( c2_1(a905)
    | ~ iPr_def_14
    | ~ c3_1(a905)
    | ~ c1_1(a905) ),
    inference(instantiation,[status(thm)],[c_14777]) ).

tcf(c_15080,plain,
    ( c3_1(a908)
    | ~ iPr_def_33
    | ~ c1_1(a908)
    | ~ c0_1(a908) ),
    inference(instantiation,[status(thm)],[c_14779]) ).

tcf(c_15089,plain,
    ( c3_1(a908)
    | c0_1(a908)
    | ~ iPr_def_37
    | ~ c1_1(a908) ),
    inference(instantiation,[status(thm)],[c_14789]) ).

tcf(c_15105,plain,
    ( c0_1(a912)
    | ~ iPr_def_15
    | ~ c2_1(a912)
    | ~ c1_1(a912) ),
    inference(instantiation,[status(thm)],[c_14763]) ).

tcf(c_15114,plain,
    ( hskp28
    | c1_1(a914)
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_14802]) ).

tcf(c_15124,plain,
    ( c3_1(a924)
    | c0_1(a924)
    | ~ iPr_def_21
    | ~ c2_1(a924) ),
    inference(instantiation,[status(thm)],[c_14793]) ).

tcf(c_15130,plain,
    ( c0_1(a923)
    | ~ iPr_def_24
    | ~ c2_1(a923)
    | ~ c3_1(a923) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_15149,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a942)
    | ~ c1_1(a942)
    | ~ c0_1(a942) ),
    inference(instantiation,[status(thm)],[c_14710]) ).

tcf(c_15165,plain,
    ( c3_1(a902)
    | c1_1(a902)
    | ~ iPr_def_22
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14801]) ).

tcf(c_15166,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ iPr_def_22
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14801]) ).

tcf(c_15202,plain,
    ( c3_1(a942)
    | ~ iPr_def_18
    | ~ c2_1(a942)
    | ~ c1_1(a942) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_15203,plain,
    ( c2_1(a901)
    | c3_1(a901)
    | c0_1(a901)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14812]) ).

tcf(c_15210,plain,
    ( c2_1(a946)
    | c3_1(a946)
    | c0_1(a946)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_14812]) ).

tcf(c_15239,plain,
    ( c3_1(a907)
    | ~ iPr_def_33
    | ~ c1_1(a907)
    | ~ c0_1(a907) ),
    inference(instantiation,[status(thm)],[c_14779]) ).

tcf(c_15241,plain,
    ( hskp28
    | c1_1(a902)
    | ~ c3_1(a902)
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14802]) ).

tcf(c_15255,plain,
    ( c2_1(a946)
    | c3_1(a946)
    | c1_1(a946)
    | ~ iPr_def_39 ),
    inference(instantiation,[status(thm)],[c_14816]) ).

tcf(c_15272,plain,
    ( c2_1(a908)
    | c3_1(a908)
    | ~ iPr_def_20
    | ~ c0_1(a908) ),
    inference(instantiation,[status(thm)],[c_14806]) ).

tcf(c_15289,plain,
    ( c0_1(a954)
    | ~ iPr_def_24
    | ~ c2_1(a954)
    | ~ c3_1(a954) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_15308,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a916)
    | ~ c1_1(a916)
    | ~ c0_1(a916) ),
    inference(instantiation,[status(thm)],[c_14710]) ).

tcf(c_15317,plain,
    ( ~ iPr_def_29
    | ~ c2_1(a916)
    | ~ c3_1(a916)
    | ~ c0_1(a916) ),
    inference(instantiation,[status(thm)],[c_14757]) ).

tcf(c_15369,plain,
    ( c3_1(a901)
    | c1_1(a901)
    | ~ iPr_def_13
    | ~ c2_1(a901) ),
    inference(instantiation,[status(thm)],[c_14678]) ).

tcf(c_15370,plain,
    ( c3_1(a906)
    | c1_1(a906)
    | ~ iPr_def_13
    | ~ c2_1(a906) ),
    inference(instantiation,[status(thm)],[c_14678]) ).

tcf(c_15382,plain,
    ( c3_1(a902)
    | ~ iPr_def_12
    | ~ c2_1(a902)
    | ~ c0_1(a902) ),
    inference(instantiation,[status(thm)],[c_14781]) ).

tcf(c_15383,plain,
    ( c3_1(a906)
    | ~ iPr_def_12
    | ~ c2_1(a906)
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14781]) ).

tcf(c_15388,plain,
    ( c2_1(a905)
    | c0_1(a905)
    | ~ iPr_def_16
    | ~ c3_1(a905) ),
    inference(instantiation,[status(thm)],[c_14682]) ).

tcf(c_15398,plain,
    ( c3_1(a906)
    | ~ iPr_def_18
    | ~ c2_1(a906)
    | ~ c1_1(a906) ),
    inference(instantiation,[status(thm)],[c_14783]) ).

tcf(c_15405,plain,
    ( c3_1(a906)
    | ~ iPr_def_33
    | ~ c1_1(a906)
    | ~ c0_1(a906) ),
    inference(instantiation,[status(thm)],[c_14779]) ).

tcf(c_15430,plain,
    ( c3_1(a939)
    | ~ iPr_def_12
    | ~ c2_1(a939)
    | ~ c0_1(a939) ),
    inference(instantiation,[status(thm)],[c_14781]) ).

tcf(c_15434,plain,
    ( c2_1(a939)
    | c3_1(a939)
    | ~ iPr_def_20
    | ~ c0_1(a939) ),
    inference(instantiation,[status(thm)],[c_14806]) ).

tcf(c_15435,plain,
    ( c3_1(a939)
    | c1_1(a939)
    | ~ iPr_def_22
    | ~ c0_1(a939) ),
    inference(instantiation,[status(thm)],[c_14801]) ).

tcf(c_15440,plain,
    ( c3_1(a942)
    | ~ iPr_def_12
    | ~ c2_1(a942)
    | ~ c0_1(a942) ),
    inference(instantiation,[status(thm)],[c_14781]) ).

tcf(c_15446,plain,
    ( ~ iPr_def_29
    | ~ c2_1(a942)
    | ~ c3_1(a942)
    | ~ c0_1(a942) ),
    inference(instantiation,[status(thm)],[c_14757]) ).

tcf(c_15502,plain,
    ( c2_1(a946)
    | c1_1(a946)
    | c0_1(a946)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14810]) ).

tcf(c_15527,plain,
    ( c2_1(a946)
    | c3_1(a946)
    | ~ iPr_def_11
    | ~ c1_1(a946) ),
    inference(instantiation,[status(thm)],[c_14808]) ).

tcf(c_15531,plain,
    ( c2_1(a901)
    | c1_1(a901)
    | c0_1(a901)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14810]) ).

tcf(c_15541,plain,
    ( c2_1(a936)
    | c1_1(a936)
    | c0_1(a936)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14810]) ).

tcf(c_15542,plain,
    ( c2_1(a936)
    | c3_1(a936)
    | ~ iPr_def_20
    | ~ c0_1(a936) ),
    inference(instantiation,[status(thm)],[c_14806]) ).

tcf(c_15589,plain,
    ( c0_1(a924)
    | ~ iPr_def_24
    | ~ c2_1(a924)
    | ~ c3_1(a924) ),
    inference(instantiation,[status(thm)],[c_14767]) ).

tcf(c_15625,plain,
    ( c2_1(a923)
    | c1_1(a923)
    | c0_1(a923)
    | ~ iPr_def_17 ),
    inference(instantiation,[status(thm)],[c_14810]) ).

tcf(c_15638,plain,
    ( c3_1(a903)
    | c1_1(a903)
    | ~ iPr_def_22
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_14801]) ).

tcf(c_15774,plain,
    ( c2_1(a954)
    | c0_1(a954)
    | ~ iPr_def_16
    | ~ c3_1(a954) ),
    inference(instantiation,[status(thm)],[c_14682]) ).

tcf(c_15913,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15774,c_15638,c_15625,c_15589,c_15541,c_15542,c_15531,c_15527,c_15502,c_15440,c_15446,c_15430,c_15434,c_15435,c_15398,c_15405,c_15388,c_15383,c_15382,c_15370,c_15369,c_15317,c_15308,c_15289,c_15272,c_15255,c_15241,c_15239,c_15210,c_15203,c_15202,c_15166,c_15165,c_15149,c_15130,c_15124,c_15114,c_15105,c_15089,c_15080,c_15063,c_15066,c_15052,c_15058,c_15039,c_15030,c_15031,c_15037,c_15020,c_15018,c_15009,c_15007,c_15005,c_14988,c_14987,c_14985,c_14978,c_14973,c_14964,c_14962,c_14957,c_14939,c_14937,c_14936,c_14929,c_14813,c_14811,c_14809,c_14803,c_14800,c_14794,c_14792,c_14790,c_14788,c_14786,c_14776,c_14772,c_14766,c_14762,c_14758,c_14756,c_14744,c_14738,c_14732,c_14723,c_14708,c_14705,c_14699,c_14695,c_14691,c_14683,c_14679,c_14675,c_14671,c_14750,c_7114,c_7104,c_7094,c_4657,c_4647,c_4637,c_1984,c_1974,c_1964,c_267,c_262,c_260,c_50,c_51,c_52,c_56,c_59,c_60,c_72,c_76,c_79,c_80,c_92,c_96,c_100,c_103,c_104,c_107,c_108,c_111,c_118,c_119,c_120,c_131,c_132,c_134,c_135,c_136,c_144,c_54,c_55,c_58,c_70,c_71,c_74,c_75,c_78,c_90,c_91,c_94,c_95,c_98,c_99,c_102,c_106,c_110,c_130,c_143,c_158,c_159,c_160,c_162,c_163,c_164,c_170,c_171,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN455+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37  % Computer : n009.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Fri Sep 25 01:16:28 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42  
% 0.12/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42  
% 0.12/0.42  % Detected problem language: tptp
% 0.12/0.44  % Proving...
% 3.14/1.19  % SZS status Started for theBenchmark.p
% 3.14/1.19  % SZS status Theorem for theBenchmark.p
% 3.14/1.19  
% 3.14/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.14/1.19  
% 3.14/1.19  % ------  iProver source info
% 3.14/1.19  
% 3.14/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.14/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.14/1.19  % git: non_committed_changes: false
% 3.14/1.19  
% 3.14/1.19  % ------ Parsing...
% 3.14/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.14/1.19  % 
% 3.14/1.19  
% 3.14/1.19  % ------ 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 % 
% 3.14/1.19  
% 3.14/1.19  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.14/1.19   gs_s  sp: 89 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.14/1.19  % ------ Proving...
% 3.14/1.19  % ------ Problem Properties 
% 3.14/1.19  
% 3.14/1.19  % 
% 3.14/1.19  % clauses                               182
% 3.14/1.19  % conjectures                           179
% 3.14/1.19  % EPR                                   182
% 3.14/1.19  % Horn                                  105
% 3.14/1.19  % unary                                 0
% 3.14/1.19  % binary                                91
% 3.14/1.19  % lits                                  485
% 3.14/1.19  % lits eq                               0
% 3.14/1.19  % fd_pure                               0
% 3.14/1.19  % fd_pseudo                             0
% 3.14/1.19  % fd_cond                               0
% 3.14/1.19  % fd_pseudo_cond                        0
% 3.14/1.19  % AC symbols                            0
% 3.14/1.19  
% 3.14/1.19  % ------ Schedule EPR non Horn non eq is on
% 3.14/1.19  
% 3.14/1.19  % ------ no equalities: superposition off 
% 3.14/1.19  
% 3.14/1.19  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.14/1.19  
% 3.14/1.19  
% 3.14/1.19  % ------ 
% 3.14/1.19  % Current options:
% 3.14/1.19  % ------ 
% 3.14/1.19  
% 3.14/1.19  
% 3.14/1.19  % 
% 3.14/1.19  
% 3.14/1.19  % ------ Proving...
% 3.14/1.19  % 
% 3.14/1.19  
% 3.14/1.19  % SZS status Theorem for theBenchmark.p
% 3.14/1.19  
% 3.14/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/1.21  
% 4.35/1.21  
%------------------------------------------------------------------------------