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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN451+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 : n011.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 03:40:16 PM UTC 2026

% Result   : Theorem 4.19s 1.18s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f207ERROR: Could not build tree for root c_15638ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp4
        | hskp1
        | hskp7 )
      & ( hskp8
        | hskp0 )
      & ( hskp19
        | hskp5
        | hskp0 )
      & ( hskp19
        | hskp18
        | hskp16 )
      & ( hskp13
        | hskp24
        | hskp23 )
      & ( hskp17
        | hskp21
        | hskp23 )
      & ( hskp22
        | hskp16
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c1_1(X91) ) ) )
      & ( hskp2
        | hskp21
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp21
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp11
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( hskp11
        | hskp27
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp11
        | hskp18
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) ) )
      & ( hskp16
        | hskp28
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp3
        | hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp9
        | hskp25
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp20
        | hskp5
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp19
        | hskp27
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp18
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp5
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp5
        | hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp11
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c1_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp26
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp0
        | hskp27
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp2
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp17
        | hskp27
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp16
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp15
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp14
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp9
        | hskp0
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp4
        | hskp6
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp7
        | hskp12
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp6
        | hskp25
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp11
        | hskp27
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp27
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp11
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | hskp5
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp8
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c3_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp7
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | hskp1
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp6
        | hskp26
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp0
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | hskp4
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp3
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp0
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp25
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a784)
          & c1_1(a784)
          & c0_1(a784)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a750)
          & c1_1(a750)
          & c0_1(a750)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a737)
          & c2_1(a737)
          & c1_1(a737)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c3_1(a729)
          & c2_1(a729)
          & c0_1(a729)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a802)
          & ~ c2_1(a802)
          & c0_1(a802)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a798)
          & c1_1(a798)
          & c0_1(a798)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a797)
          & ~ c1_1(a797)
          & c3_1(a797)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a793)
          & c3_1(a793)
          & c0_1(a793)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a779)
          & ~ c1_1(a779)
          & c2_1(a779)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a777)
          & ~ c0_1(a777)
          & c2_1(a777)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a775)
          & ~ c2_1(a775)
          & c1_1(a775)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a766)
          & c2_1(a766)
          & c1_1(a766)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a764)
          & c2_1(a764)
          & c0_1(a764)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a763)
          & c1_1(a763)
          & c0_1(a763)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a762)
          & ~ c1_1(a762)
          & c0_1(a762)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a759)
          & c3_1(a759)
          & c2_1(a759)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a755)
          & c2_1(a755)
          & c1_1(a755)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a749)
          & ~ c1_1(a749)
          & ~ c0_1(a749)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a748)
          & ~ c1_1(a748)
          & ~ c0_1(a748)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a746)
          & ~ c0_1(a746)
          & c3_1(a746)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a744)
          & ~ c0_1(a744)
          & c3_1(a744)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a741)
          & c3_1(a741)
          & c1_1(a741)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a738)
          & ~ c0_1(a738)
          & c1_1(a738)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a735)
          & c3_1(a735)
          & c2_1(a735)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a734)
          & ~ c0_1(a734)
          & c1_1(a734)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a733)
          & ~ c0_1(a733)
          & c2_1(a733)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a732)
          & ~ c2_1(a732)
          & ~ c0_1(a732)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a731)
          & c3_1(a731)
          & c1_1(a731)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a730)
          & c3_1(a730)
          & c0_1(a730)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp4
          | hskp1
          | hskp7 )
        & ( hskp8
          | hskp0 )
        & ( hskp19
          | hskp5
          | hskp0 )
        & ( hskp19
          | hskp18
          | hskp16 )
        & ( hskp13
          | hskp24
          | hskp23 )
        & ( hskp17
          | hskp21
          | hskp23 )
        & ( hskp22
          | hskp16
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c1_1(X91) ) ) )
        & ( hskp2
          | hskp21
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp21
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp11
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( hskp11
          | hskp27
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp11
          | hskp18
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) ) )
        & ( hskp16
          | hskp28
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp3
          | hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp9
          | hskp25
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp20
          | hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp19
          | hskp27
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp18
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp5
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp5
          | hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp11
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp26
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp0
          | hskp27
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp2
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | hskp27
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp14
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp9
          | hskp0
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp4
          | hskp6
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | hskp12
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp6
          | hskp25
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp11
          | hskp27
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp27
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp11
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | hskp5
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp8
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp7
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | hskp1
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp6
          | hskp26
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp0
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | hskp4
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp0
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp25
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a784)
            & c1_1(a784)
            & c0_1(a784)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a750)
            & c1_1(a750)
            & c0_1(a750)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a737)
            & c2_1(a737)
            & c1_1(a737)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a729)
            & c2_1(a729)
            & c0_1(a729)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a802)
            & ~ c2_1(a802)
            & c0_1(a802)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a798)
            & c1_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a797)
            & ~ c1_1(a797)
            & c3_1(a797)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a793)
            & c3_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a779)
            & ~ c1_1(a779)
            & c2_1(a779)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a777)
            & ~ c0_1(a777)
            & c2_1(a777)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a775)
            & ~ c2_1(a775)
            & c1_1(a775)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a766)
            & c2_1(a766)
            & c1_1(a766)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a764)
            & c2_1(a764)
            & c0_1(a764)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a763)
            & c1_1(a763)
            & c0_1(a763)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a762)
            & ~ c1_1(a762)
            & c0_1(a762)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a759)
            & c3_1(a759)
            & c2_1(a759)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a755)
            & c2_1(a755)
            & c1_1(a755)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a749)
            & ~ c1_1(a749)
            & ~ c0_1(a749)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a748)
            & ~ c1_1(a748)
            & ~ c0_1(a748)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a746)
            & ~ c0_1(a746)
            & c3_1(a746)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a744)
            & ~ c0_1(a744)
            & c3_1(a744)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a741)
            & c3_1(a741)
            & c1_1(a741)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a738)
            & ~ c0_1(a738)
            & c1_1(a738)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a735)
            & c3_1(a735)
            & c2_1(a735)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a734)
            & ~ c0_1(a734)
            & c1_1(a734)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a733)
            & ~ c0_1(a733)
            & c2_1(a733)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a732)
            & ~ c2_1(a732)
            & ~ c0_1(a732)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a731)
            & c3_1(a731)
            & c1_1(a731)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a730)
            & c3_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | ~ c1_1(X91) ) ) )
    & ( hskp2
      | hskp21
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c0_1(X90) ) ) )
    & ( hskp21
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | ~ c0_1(X89) ) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( hskp11
      | hskp27
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c3_1(X87) ) ) )
    & ( hskp11
      | hskp18
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) ) )
    & ( hskp1
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c2_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c3_1(X84) ) ) )
    & ( hskp16
      | hskp28
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) ) )
    & ( hskp3
      | hskp16
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp9
      | hskp25
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp20
      | hskp5
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp19
      | hskp27
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c0_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp18
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c1_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c1_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | c3_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp5
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp5
      | hskp27
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp11
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c2_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp26
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp0
      | hskp27
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c1_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp2
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp17
      | hskp27
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp14
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp9
      | hskp0
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp4
      | hskp6
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp7
      | hskp12
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp6
      | hskp25
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp11
      | hskp27
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c3_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c2_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp27
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp11
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp10
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c2_1(X33)
            | c0_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp5
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c0_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp9
      | hskp5
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp8
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c0_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp4
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c1_1(X25)
            | c0_1(X25) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp5
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c0_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp7
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c3_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp2
      | hskp1
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp6
      | hskp26
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp0
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp5
      | hskp4
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp3
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c2_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp1
      | hskp0
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp25
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c0_1(X4)
            | c1_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c3_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c1_1(X91) ) )
    & ( hskp2
      | hskp21
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp21
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp11
      | hskp27
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp11
      | hskp18
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp1
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) ) )
    & ( hskp16
      | hskp28
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( hskp3
      | hskp16
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp9
      | hskp25
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp20
      | hskp5
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp19
      | hskp27
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp18
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp5
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp5
      | hskp27
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp11
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c1_1(X70)
          | c2_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp26
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp0
      | hskp27
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp2
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp17
      | hskp27
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp16
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp15
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( hskp14
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp9
      | hskp0
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp4
      | hskp6
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp7
      | hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp6
      | hskp25
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp11
      | hskp27
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp27
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp11
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c3_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | hskp5
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp8
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c3_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp4
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | ~ c1_1(X21)
          | c0_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp7
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp2
      | hskp1
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp6
      | hskp26
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp0
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | hskp4
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp3
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c2_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp0
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp25
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp4
      | hskp1
      | hskp7 )
    & ( hskp8
      | hskp0 )
    & ( hskp19
      | hskp5
      | hskp0 )
    & ( hskp19
      | hskp18
      | hskp16 )
    & ( hskp13
      | hskp24
      | hskp23 )
    & ( hskp17
      | hskp21
      | hskp23 )
    & ( hskp22
      | hskp16
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c1_1(X91) ) )
    & ( hskp2
      | hskp21
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp21
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp11
      | hskp27
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp11
      | hskp18
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp1
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) ) )
    & ( hskp16
      | hskp28
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( hskp3
      | hskp16
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp9
      | hskp25
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp20
      | hskp5
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp19
      | hskp27
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp18
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c1_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp5
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp5
      | hskp27
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp11
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c1_1(X70)
          | c2_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp26
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | ~ c0_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp0
      | hskp27
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp2
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp17
      | hskp27
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp16
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp15
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( hskp14
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp9
      | hskp0
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp4
      | hskp6
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp7
      | hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp6
      | hskp25
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp11
      | hskp27
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | c3_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c2_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp27
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp11
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c3_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | hskp5
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp8
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c3_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp4
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | ~ c1_1(X21)
          | c0_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp7
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp2
      | hskp1
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp6
      | hskp26
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp0
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | hskp4
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp3
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c2_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp0
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp25
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a784)
        & c1_1(a784)
        & c0_1(a784)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a750)
        & c1_1(a750)
        & c0_1(a750)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a737)
        & c2_1(a737)
        & c1_1(a737)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a729)
        & c2_1(a729)
        & c0_1(a729)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a802)
        & ~ c2_1(a802)
        & c0_1(a802)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a798)
        & c1_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a797)
        & ~ c1_1(a797)
        & c3_1(a797)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a793)
        & c3_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a779)
        & ~ c1_1(a779)
        & c2_1(a779)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a777)
        & ~ c0_1(a777)
        & c2_1(a777)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a775)
        & ~ c2_1(a775)
        & c1_1(a775)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a766)
        & c2_1(a766)
        & c1_1(a766)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a763)
        & c1_1(a763)
        & c0_1(a763)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a762)
        & ~ c1_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a759)
        & c3_1(a759)
        & c2_1(a759)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a755)
        & c2_1(a755)
        & c1_1(a755)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a749)
        & ~ c1_1(a749)
        & ~ c0_1(a749)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a748)
        & ~ c1_1(a748)
        & ~ c0_1(a748)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a746)
        & ~ c0_1(a746)
        & c3_1(a746)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a744)
        & ~ c0_1(a744)
        & c3_1(a744)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a738)
        & ~ c0_1(a738)
        & c1_1(a738)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a735)
        & c3_1(a735)
        & c2_1(a735)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a734)
        & ~ c0_1(a734)
        & c1_1(a734)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a733)
        & ~ c0_1(a733)
        & c2_1(a733)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a732)
        & ~ c2_1(a732)
        & ~ c0_1(a732)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a731)
        & c3_1(a731)
        & c1_1(a731)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a730)
        & c3_1(a730)
        & c0_1(a730)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp13
    | hskp24
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X90] :
      ( hskp2
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X90)
      | ~ c2_1(X90)
      | ~ c0_1(X90) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X89] :
      ( hskp21
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c2_1(X89)
      | ~ c0_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X86] :
      ( hskp11
      | hskp18
      | ~ ndr1_0
      | ~ c1_1(X86)
      | ~ c0_1(X86)
      | c3_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X82] :
      ( hskp3
      | hskp16
      | ~ ndr1_0
      | ~ c0_1(X82)
      | c3_1(X82)
      | c2_1(X82) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X81] :
      ( hskp9
      | hskp25
      | ~ ndr1_0
      | ~ c0_1(X81)
      | c3_1(X81)
      | c2_1(X81) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X80] :
      ( hskp20
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X80)
      | ~ c2_1(X80)
      | c1_1(X80) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X17] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X17)
      | c1_1(X17)
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X5] :
      ( hskp1
      | hskp0
      | ~ ndr1_0
      | c2_1(X5)
      | c1_1(X5)
      | c0_1(X5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ c3_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ c2_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ c3_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c2_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c3_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c1_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c2_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c2_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c1_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c2_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c1_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c1_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ c0_1(a749)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c1_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ c0_1(a748)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c0_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c3_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c3_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c0_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c2_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c2_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ c0_1(a732)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c2_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c3_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c1_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_51,negated_conjecture,
    ( c3_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a730) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_54,negated_conjecture,
    ( c1_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_55,negated_conjecture,
    ( c3_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a731) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a732) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a732) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a732) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_62,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a733) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_70,negated_conjecture,
    ( c2_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a735) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_82,negated_conjecture,
    ( c3_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a744) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a744) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_86,negated_conjecture,
    ( c3_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a746) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a746) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_90,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a748) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a748) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a748) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_94,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a749) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_101,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_102,negated_conjecture,
    ( c2_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_103,negated_conjecture,
    ( c3_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a759) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_115,negated_conjecture,
    ( c2_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a764) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a775) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a775) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a779) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a779) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_135,negated_conjecture,
    ( c3_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a793) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_141,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_143,negated_conjecture,
    ( c1_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a798) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_146,negated_conjecture,
    ( c0_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a802) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_151,negated_conjecture,
    ( c2_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_152,negated_conjecture,
    ( c3_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_167,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp9
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp3
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp11
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp2
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_220,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp13 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_223,negated_conjecture,
    ( hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_252,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_161,c_220,c_145,c_141,c_101]) ).

tcf(c_319,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_220,c_145,c_141,c_101,c_167]) ).

tcf(c_325,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp3
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_220,c_145,c_141,c_101,c_210]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp9
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_220,c_145,c_141,c_101,c_209]) ).

tcf(c_349,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_220,c_145,c_141,c_101,c_174]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp11
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_220,c_145,c_141,c_101,c_213]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp11
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_361]) ).

tcf(c_364,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp5
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_220,c_145,c_141,c_101,c_208]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp5
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_364]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_220,c_145,c_141,c_101,c_216]) ).

tcf(c_389,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_220,c_145,c_141,c_101,c_181]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_394,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_220,c_145,c_141,c_101,c_172]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_396,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_220,c_145,c_141,c_101,c_166]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_400,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_220,c_145,c_141,c_101,c_204]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_402,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_202,c_252]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

tcf(c_404,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_220,c_145,c_141,c_101,c_198]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_406,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_220,c_145,c_141,c_101,c_192]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_411,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_220,c_145,c_141,c_101,c_182]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_220,c_145,c_141,c_101,c_201]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_417]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_220,c_145,c_141,c_101,c_184]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_220,c_145,c_141,c_101,c_212]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_425,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_220,c_145,c_141,c_101,c_196]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_220,c_145,c_141,c_101,c_165]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_431]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_220,c_145,c_141,c_101,c_205]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_220,c_145,c_141,c_101,c_185]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_220,c_145,c_141,c_101,c_170]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c3_1(X2)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_220,c_145,c_141,c_101,c_199]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_220,c_145,c_141,c_101,c_186]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_1508,plain,
    ( hskp23
    | hskp13
    | ~ c3_1(a802) ),
    inference(resolution,[status(thm)],[c_220,c_148]) ).

tcf(c_1518,plain,
    ( hskp23
    | hskp13
    | ~ c2_1(a802) ),
    inference(resolution,[status(thm)],[c_220,c_147]) ).

tcf(c_1528,plain,
    ( hskp23
    | hskp13
    | c0_1(a802) ),
    inference(resolution,[status(thm)],[c_220,c_146]) ).

tcf(c_2270,plain,
    ( hskp0
    | ~ c1_1(a744) ),
    inference(resolution,[status(thm)],[c_223,c_84]) ).

tcf(c_2277,plain,
    ( hskp0
    | ~ c0_1(a744) ),
    inference(resolution,[status(thm)],[c_223,c_83]) ).

tcf(c_2284,plain,
    ( hskp0
    | c3_1(a744) ),
    inference(resolution,[status(thm)],[c_223,c_82]) ).

tcf(c_2747,plain,
    ( hskp13
    | c0_1(a802)
    | ~ c3_1(a798) ),
    inference(resolution,[status(thm)],[c_1528,c_144]) ).

tcf(c_2757,plain,
    ( hskp13
    | c1_1(a798)
    | c0_1(a802) ),
    inference(resolution,[status(thm)],[c_1528,c_143]) ).

tcf(c_2767,plain,
    ( hskp13
    | c0_1(a802)
    | c0_1(a798) ),
    inference(resolution,[status(thm)],[c_1528,c_142]) ).

tcf(c_2777,plain,
    ( hskp13
    | ~ c2_1(a802)
    | ~ c3_1(a798) ),
    inference(resolution,[status(thm)],[c_1518,c_144]) ).

tcf(c_2787,plain,
    ( hskp13
    | c1_1(a798)
    | ~ c2_1(a802) ),
    inference(resolution,[status(thm)],[c_1518,c_143]) ).

tcf(c_2797,plain,
    ( hskp13
    | c0_1(a798)
    | ~ c2_1(a802) ),
    inference(resolution,[status(thm)],[c_1518,c_142]) ).

tcf(c_2807,plain,
    ( hskp13
    | ~ c3_1(a802)
    | ~ c3_1(a798) ),
    inference(resolution,[status(thm)],[c_1508,c_144]) ).

tcf(c_2817,plain,
    ( hskp13
    | c1_1(a798)
    | ~ c3_1(a802) ),
    inference(resolution,[status(thm)],[c_1508,c_143]) ).

tcf(c_2827,plain,
    ( hskp13
    | c0_1(a798)
    | ~ c3_1(a802) ),
    inference(resolution,[status(thm)],[c_1508,c_142]) ).

tcf(c_13727,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_443]) ).

tcf(c_13728,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_443]) ).

tcf(c_13730,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_441]) ).

tcf(c_13731,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_441]) ).

tcf(c_13732,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_13733,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_439]) ).

tcf(c_13734,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_439]) ).

tcf(c_13735,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_439]) ).

tcf(c_13736,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_13737,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_436]) ).

tcf(c_13738,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_436]) ).

tcf(c_13739,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_13740,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_434]) ).

tcf(c_13741,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_434]) ).

tcf(c_13742,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_434]) ).

tcf(c_13743,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_13745,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_432]) ).

tcf(c_13752,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_426]) ).

tcf(c_13754,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_424]) ).

tcf(c_13755,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_13756,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_422]) ).

tcf(c_13759,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_418]) ).

tcf(c_13764,negated_conjecture,
    ( iPr_def_30
    | iPr_def_11
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_13766,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_407]) ).

tcf(c_13768,negated_conjecture,
    ( iPr_def_31
    | iPr_def_18
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_13769,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c3_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_403]) ).

tcf(c_13770,negated_conjecture,
    ( iPr_def_34
    | iPr_def_19
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

tcf(c_13771,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_401]) ).

tcf(c_13772,negated_conjecture,
    ( iPr_def_35
    | iPr_def_21
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_13774,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_13775,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_395]) ).

tcf(c_13776,negated_conjecture,
    ( iPr_def_36
    | iPr_def_30
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_13778,negated_conjecture,
    ( iPr_def_33
    | iPr_def_30
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_13789,negated_conjecture,
    ( iPr_def_13
    | hskp20
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_13790,negated_conjecture,
    ( iPr_def_29
    | hskp18
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_13794,negated_conjecture,
    ( iPr_def_36
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

tcf(c_13801,negated_conjecture,
    ( iPr_def_22
    | hskp25
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

tcf(c_13802,negated_conjecture,
    ( iPr_def_22
    | hskp16
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_325]) ).

tcf(c_13804,negated_conjecture,
    ( iPr_def_24
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_319]) ).

tcf(c_13816,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_13732]) ).

tcf(c_13817,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13731]) ).

tcf(c_13820,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_13736]) ).

tcf(c_13824,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_13739]) ).

tcf(c_13828,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_13743]) ).

tcf(c_13847,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13755]) ).

tcf(c_13851,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13740]) ).

tcf(c_13854,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13733]) ).

tcf(c_13865,negated_conjecture,
    ( iPr_def_30
    | iPr_def_11
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_13764]) ).

tcf(c_13866,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13727]) ).

tcf(c_13872,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_17
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13735]) ).

tcf(c_13874,negated_conjecture,
    ( iPr_def_31
    | iPr_def_18
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_13768]) ).

tcf(c_13875,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_31
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13759]) ).

tcf(c_13876,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13737]) ).

tcf(c_13877,negated_conjecture,
    ( iPr_def_34
    | iPr_def_19
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_13770]) ).

tcf(c_13878,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13769]) ).

tcf(c_13880,negated_conjecture,
    ( iPr_def_35
    | iPr_def_21
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_13772]) ).

tcf(c_13884,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_19
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13738]) ).

tcf(c_13885,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13741]) ).

tcf(c_13886,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp25 ),
    inference(demodulation,[status(thm)],[c_13774]) ).

tcf(c_13889,negated_conjecture,
    ( iPr_def_36
    | iPr_def_30
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13776]) ).

tcf(c_13895,negated_conjecture,
    ( iPr_def_33
    | iPr_def_30
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_13778]) ).

tcf(c_13896,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13756]) ).

tcf(c_13911,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13752]) ).

tcf(c_13917,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13771]) ).

tcf(c_13918,negated_conjecture,
    ( iPr_def_13
    | hskp20
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_13789]) ).

tcf(c_13919,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13730]) ).

tcf(c_13920,negated_conjecture,
    ( iPr_def_29
    | hskp18
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_13790]) ).

tcf(c_13921,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_29
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13754]) ).

tcf(c_13924,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_376]) ).

tcf(c_13927,negated_conjecture,
    ( iPr_def_36
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13794]) ).

tcf(c_13928,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_36
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13775]) ).

tcf(c_13936,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_12
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13728]) ).

tcf(c_13938,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_33
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13766]) ).

tcf(c_13941,negated_conjecture,
    ( iPr_def_22
    | hskp25
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_13801]) ).

tcf(c_13943,negated_conjecture,
    ( iPr_def_22
    | hskp16
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_13802]) ).

tcf(c_13944,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_22
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13742]) ).

tcf(c_13947,negated_conjecture,
    ( iPr_def_24
    | hskp1
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13804]) ).

tcf(c_13948,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_24 ),
    inference(demodulation,[status(thm)],[c_13745]) ).

tcf(c_13950,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_13734]) ).

tcf(c_14062,plain,
    ( c1_1(a729)
    | ~ iPr_def_13
    | ~ c2_1(a729)
    | ~ c3_1(a729) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14073,plain,
    ( ~ iPr_def_20
    | ~ c2_1(a729)
    | ~ c1_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_13851]) ).

tcf(c_14074,plain,
    ( ~ iPr_def_28
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_13911]) ).

tcf(c_14085,plain,
    ( c0_1(a735)
    | ~ iPr_def_11
    | ~ c2_1(a735)
    | ~ c3_1(a735) ),
    inference(instantiation,[status(thm)],[c_13866]) ).

tcf(c_14087,plain,
    ( c0_1(a744)
    | ~ iPr_def_11
    | ~ c2_1(a744)
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13866]) ).

tcf(c_14090,plain,
    ( c2_1(a731)
    | ~ iPr_def_17
    | ~ c1_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13872]) ).

tcf(c_14095,plain,
    ( c0_1(a731)
    | ~ iPr_def_18
    | ~ c1_1(a731)
    | ~ c3_1(a731) ),
    inference(instantiation,[status(thm)],[c_13876]) ).

tcf(c_14103,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ iPr_def_12
    | ~ c3_1(a731) ),
    inference(instantiation,[status(thm)],[c_13936]) ).

tcf(c_14117,plain,
    ( c1_1(a749)
    | c3_1(a749)
    | ~ iPr_def_21
    | ~ c2_1(a749) ),
    inference(instantiation,[status(thm)],[c_13885]) ).

tcf(c_14118,plain,
    ( c1_1(a764)
    | c3_1(a764)
    | ~ iPr_def_21
    | ~ c2_1(a764) ),
    inference(instantiation,[status(thm)],[c_13885]) ).

tcf(c_14126,plain,
    ( c2_1(a744)
    | c1_1(a744)
    | c0_1(a744)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13948]) ).

tcf(c_14127,plain,
    ( c2_1(a749)
    | c1_1(a749)
    | c0_1(a749)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13948]) ).

tcf(c_14138,plain,
    ( c1_1(a749)
    | c3_1(a749)
    | c0_1(a749)
    | ~ iPr_def_16 ),
    inference(instantiation,[status(thm)],[c_13950]) ).

tcf(c_14145,plain,
    ( c2_1(a748)
    | c1_1(a748)
    | c0_1(a748)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13948]) ).

tcf(c_14147,plain,
    ( c2_1(a731)
    | ~ iPr_def_14
    | ~ c3_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13817]) ).

tcf(c_14151,plain,
    ( c2_1(a793)
    | ~ iPr_def_14
    | ~ c3_1(a793)
    | ~ c0_1(a793) ),
    inference(instantiation,[status(thm)],[c_13817]) ).

tcf(c_14152,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a731)
    | ~ c3_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13854]) ).

tcf(c_14169,plain,
    ( c2_1(a731)
    | ~ iPr_def_19
    | ~ c1_1(a731)
    | ~ c3_1(a731) ),
    inference(instantiation,[status(thm)],[c_13884]) ).

tcf(c_14255,plain,
    ( c2_1(a802)
    | c3_1(a802)
    | ~ iPr_def_22
    | ~ c0_1(a802) ),
    inference(instantiation,[status(thm)],[c_13944]) ).

tcf(c_14265,plain,
    ( c2_1(a775)
    | c0_1(a775)
    | ~ iPr_def_30
    | ~ c1_1(a775) ),
    inference(instantiation,[status(thm)],[c_13896]) ).

tcf(c_14269,plain,
    ( hskp21
    | ~ c2_1(a730)
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

tcf(c_14279,plain,
    ( c2_1(a732)
    | c0_1(a732)
    | ~ iPr_def_30
    | ~ c1_1(a732) ),
    inference(instantiation,[status(thm)],[c_13896]) ).

tcf(c_14280,plain,
    ( c2_1(a732)
    | c1_1(a732)
    | c0_1(a732)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13948]) ).

tcf(c_14334,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ iPr_def_31
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13875]) ).

tcf(c_14335,plain,
    ( c2_1(a730)
    | ~ iPr_def_14
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13817]) ).

tcf(c_14348,plain,
    ( c2_1(a746)
    | c0_1(a746)
    | ~ iPr_def_30
    | ~ c1_1(a746) ),
    inference(instantiation,[status(thm)],[c_13896]) ).

tcf(c_14349,plain,
    ( c2_1(a746)
    | c1_1(a746)
    | c0_1(a746)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13948]) ).

tcf(c_14379,plain,
    ( c1_1(a730)
    | ~ iPr_def_35
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

tcf(c_14392,plain,
    ( c3_1(a775)
    | c0_1(a775)
    | ~ iPr_def_33
    | ~ c1_1(a775) ),
    inference(instantiation,[status(thm)],[c_13938]) ).

tcf(c_14419,plain,
    ( c0_1(a746)
    | ~ iPr_def_18
    | ~ c1_1(a746)
    | ~ c3_1(a746) ),
    inference(instantiation,[status(thm)],[c_13876]) ).

tcf(c_14425,plain,
    ( c1_1(a749)
    | c0_1(a749)
    | ~ iPr_def_36
    | ~ c2_1(a749) ),
    inference(instantiation,[status(thm)],[c_13928]) ).

tcf(c_14457,plain,
    ( c1_1(a733)
    | c3_1(a733)
    | ~ iPr_def_21
    | ~ c2_1(a733) ),
    inference(instantiation,[status(thm)],[c_13885]) ).

tcf(c_14462,plain,
    ( c1_1(a779)
    | c3_1(a779)
    | ~ iPr_def_21
    | ~ c2_1(a779) ),
    inference(instantiation,[status(thm)],[c_13885]) ).

tcf(c_14469,plain,
    ( c3_1(a764)
    | ~ iPr_def_29
    | ~ c1_1(a764)
    | ~ c0_1(a764) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

tcf(c_14503,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ iPr_def_34
    | ~ c3_1(a730) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_14697,plain,
    ( c1_1(a744)
    | c0_1(a744)
    | ~ iPr_def_36
    | ~ c2_1(a744) ),
    inference(instantiation,[status(thm)],[c_13928]) ).

tcf(c_14698,plain,
    ( c3_1(a732)
    | c0_1(a732)
    | ~ iPr_def_33
    | ~ c1_1(a732) ),
    inference(instantiation,[status(thm)],[c_13938]) ).

tcf(c_14852,plain,
    ( c1_1(a744)
    | ~ iPr_def_13
    | ~ c2_1(a744)
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14853,plain,
    ( c1_1(a759)
    | ~ iPr_def_13
    | ~ c2_1(a759)
    | ~ c3_1(a759) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14874,plain,
    ( c2_1(a775)
    | c3_1(a775)
    | ~ iPr_def_22
    | ~ c0_1(a775) ),
    inference(instantiation,[status(thm)],[c_13944]) ).

tcf(c_15074,plain,
    ( c1_1(a730)
    | ~ iPr_def_13
    | ~ c2_1(a730)
    | ~ c3_1(a730) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_15131,plain,
    ( c3_1(a798)
    | ~ iPr_def_29
    | ~ c1_1(a798)
    | ~ c0_1(a798) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

tcf(c_15311,plain,
    ( c1_1(a749)
    | ~ iPr_def_13
    | ~ c2_1(a749)
    | ~ c3_1(a749) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_15387,plain,
    ( c1_1(a733)
    | ~ iPr_def_13
    | ~ c2_1(a733)
    | ~ c3_1(a733) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_15570,plain,
    ( c2_1(a744)
    | c1_1(a744)
    | ~ iPr_def_34
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_15638,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15570,c_15387,c_15311,c_15131,c_15074,c_14874,c_14853,c_14852,c_14698,c_14697,c_14503,c_14469,c_14462,c_14457,c_14425,c_14419,c_14392,c_14379,c_14348,c_14349,c_14334,c_14335,c_14279,c_14280,c_14269,c_14265,c_14255,c_14169,c_14152,c_14151,c_14147,c_14145,c_14138,c_14127,c_14126,c_14118,c_14117,c_14103,c_14095,c_14090,c_14087,c_14085,c_14074,c_14073,c_14062,c_13947,c_13943,c_13941,c_13927,c_13920,c_13918,c_13895,c_13889,c_13886,c_13880,c_13877,c_13874,c_13865,c_13847,c_13828,c_13824,c_13820,c_13816,c_2827,c_2817,c_2807,c_2797,c_2787,c_2777,c_2767,c_2757,c_2747,c_2284,c_2277,c_2270,c_52,c_56,c_58,c_59,c_60,c_64,c_72,c_87,c_88,c_90,c_91,c_92,c_94,c_95,c_96,c_104,c_116,c_123,c_124,c_131,c_132,c_136,c_50,c_51,c_54,c_55,c_62,c_70,c_71,c_86,c_102,c_103,c_114,c_115,c_122,c_130,c_134,c_135,c_150,c_151,c_152]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN451+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 01:14:44 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  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
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.42  % Proving...
% 4.19/1.18  % SZS status Started for theBenchmark.p
% 4.19/1.18  % SZS status Theorem for theBenchmark.p
% 4.19/1.18  
% 4.19/1.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.19/1.18  
% 4.19/1.18  % ------  iProver source info
% 4.19/1.18  
% 4.19/1.18  % git: date: 2026-07-19 20:42:38 +0200
% 4.19/1.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.19/1.18  % git: non_committed_changes: false
% 4.19/1.18  
% 4.19/1.18  % ------ Parsing...
% 4.19/1.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.18  % 
% 4.19/1.18  
% 4.19/1.18  % ------ 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 % 
% 4.19/1.18  
% 4.19/1.18  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.18   gs_s  sp: 90 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.19/1.18  % ------ Proving...
% 4.19/1.18  % ------ Problem Properties 
% 4.19/1.18  
% 4.19/1.18  % 
% 4.19/1.18  % clauses                               176
% 4.19/1.18  % conjectures                           173
% 4.19/1.18  % EPR                                   176
% 4.19/1.18  % Horn                                  100
% 4.19/1.18  % unary                                 0
% 4.19/1.18  % binary                                85
% 4.19/1.18  % lits                                  475
% 4.19/1.18  % lits eq                               0
% 4.19/1.18  % fd_pure                               0
% 4.19/1.18  % fd_pseudo                             0
% 4.19/1.18  % fd_cond                               0
% 4.19/1.18  % fd_pseudo_cond                        0
% 4.19/1.18  % AC symbols                            0
% 4.19/1.18  
% 4.19/1.18  % ------ Schedule EPR non Horn non eq is on
% 4.19/1.18  
% 4.19/1.18  % ------ no equalities: superposition off 
% 4.19/1.18  
% 4.19/1.18  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.19/1.18  
% 4.19/1.18  
% 4.19/1.18  % ------ 
% 4.19/1.18  % Current options:
% 4.19/1.18  % ------ 
% 4.19/1.18  
% 4.19/1.18  
% 4.19/1.18  % 
% 4.19/1.18  
% 4.19/1.18  % ------ Proving...
% 4.19/1.18  % 
% 4.19/1.18  
% 4.19/1.18  % SZS status Theorem for theBenchmark.p
% 4.19/1.18  
% 4.19/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.18  
% 4.19/1.18  
%------------------------------------------------------------------------------