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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN452+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:17 PM UTC 2026

% Result   : Theorem 4.23s 6.50s
% Output   : CNFRefutation 4.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f205ERROR: Could not build tree for root c_15008ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp16
        | hskp13 )
      & ( hskp13
        | hskp5
        | hskp7 )
      & ( hskp5
        | hskp25
        | hskp23 )
      & ( hskp15
        | hskp17
        | hskp27 )
      & ( hskp9
        | hskp18
        | hskp27 )
      & ( hskp24
        | hskp14 )
      & ( hskp11
        | hskp12
        | hskp14 )
      & ( hskp20
        | hskp24
        | hskp28 )
      & ( hskp3
        | hskp23
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp8
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp2
        | hskp1
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp15
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp7
        | hskp14
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp29
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp19
        | hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp22
        | hskp1
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp23
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp15
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp22
        | hskp14
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp13
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp20
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp18
        | hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | hskp12
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp3
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp27
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp6
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp8
        | hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp9
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp2
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp13
        | hskp12
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp26
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp28
        | hskp26
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp8
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c3_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp4
        | hskp7
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp6
        | hskp27
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp5
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp4
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp2
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp0
        | hskp26
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a865)
          & c2_1(a865)
          & c1_1(a865)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a833)
          & c1_1(a833)
          & c0_1(a833)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a826)
          & c2_1(a826)
          & c0_1(a826)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a818)
          & c1_1(a818)
          & c0_1(a818)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a892)
          & c2_1(a892)
          & c1_1(a892)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a878)
          & ~ c0_1(a878)
          & c1_1(a878)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a862)
          & c3_1(a862)
          & c0_1(a862)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a860)
          & ~ c1_1(a860)
          & ~ c0_1(a860)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a857)
          & ~ c2_1(a857)
          & c0_1(a857)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a856)
          & ~ c1_1(a856)
          & c3_1(a856)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a855)
          & ~ c1_1(a855)
          & ~ c0_1(a855)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a854)
          & ~ c0_1(a854)
          & c1_1(a854)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a852)
          & ~ c2_1(a852)
          & c1_1(a852)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a848)
          & c3_1(a848)
          & c2_1(a848)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a844)
          & ~ c1_1(a844)
          & c2_1(a844)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a842)
          & c1_1(a842)
          & c0_1(a842)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a839)
          & c3_1(a839)
          & c1_1(a839)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a838)
          & c2_1(a838)
          & c0_1(a838)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a835)
          & c3_1(a835)
          & c2_1(a835)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a834)
          & c2_1(a834)
          & c0_1(a834)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a831)
          & ~ c0_1(a831)
          & c3_1(a831)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a830)
          & ~ c2_1(a830)
          & ~ c0_1(a830)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a828)
          & ~ c1_1(a828)
          & c0_1(a828)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a827)
          & c2_1(a827)
          & c1_1(a827)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a825)
          & c3_1(a825)
          & c1_1(a825)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a821)
          & ~ c0_1(a821)
          & c2_1(a821)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a820)
          & ~ c1_1(a820)
          & c0_1(a820)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a817)
          & ~ c0_1(a817)
          & c2_1(a817)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a816)
          & c3_1(a816)
          & c0_1(a816)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a815)
          & c1_1(a815)
          & c0_1(a815)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp16
          | hskp13 )
        & ( hskp13
          | hskp5
          | hskp7 )
        & ( hskp5
          | hskp25
          | hskp23 )
        & ( hskp15
          | hskp17
          | hskp27 )
        & ( hskp9
          | hskp18
          | hskp27 )
        & ( hskp24
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp20
          | hskp24
          | hskp28 )
        & ( hskp3
          | hskp23
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp2
          | hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp15
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp7
          | hskp14
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp29
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp19
          | hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp22
          | hskp1
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp23
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp15
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp22
          | hskp14
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp13
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp18
          | hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp27
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp8
          | hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp9
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp12
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp26
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp28
          | hskp26
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp4
          | hskp7
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp6
          | hskp27
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp4
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp2
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp0
          | hskp26
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a833)
            & c1_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a826)
            & c2_1(a826)
            & c0_1(a826)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a818)
            & c1_1(a818)
            & c0_1(a818)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a892)
            & c2_1(a892)
            & c1_1(a892)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a878)
            & ~ c0_1(a878)
            & c1_1(a878)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a862)
            & c3_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a860)
            & ~ c1_1(a860)
            & ~ c0_1(a860)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a857)
            & ~ c2_1(a857)
            & c0_1(a857)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a856)
            & ~ c1_1(a856)
            & c3_1(a856)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a855)
            & ~ c1_1(a855)
            & ~ c0_1(a855)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a854)
            & ~ c0_1(a854)
            & c1_1(a854)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a852)
            & ~ c2_1(a852)
            & c1_1(a852)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a848)
            & c3_1(a848)
            & c2_1(a848)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a844)
            & ~ c1_1(a844)
            & c2_1(a844)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a842)
            & c1_1(a842)
            & c0_1(a842)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a839)
            & c3_1(a839)
            & c1_1(a839)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a838)
            & c2_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a835)
            & c3_1(a835)
            & c2_1(a835)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a834)
            & c2_1(a834)
            & c0_1(a834)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a831)
            & ~ c0_1(a831)
            & c3_1(a831)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a830)
            & ~ c2_1(a830)
            & ~ c0_1(a830)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a828)
            & ~ c1_1(a828)
            & c0_1(a828)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a827)
            & c2_1(a827)
            & c1_1(a827)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a825)
            & c3_1(a825)
            & c1_1(a825)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a821)
            & ~ c0_1(a821)
            & c2_1(a821)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a820)
            & ~ c1_1(a820)
            & c0_1(a820)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a817)
            & ~ c0_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a816)
            & c3_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a815)
            & c1_1(a815)
            & c0_1(a815)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | ~ c0_1(X91) ) ) )
    & ( hskp8
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c1_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c1_1(X89)
            | ~ c0_1(X89) ) ) )
    & ( hskp2
      | hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c3_1(X88) ) ) )
    & ( hskp15
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c3_1(X87) ) ) )
    & ( hskp7
      | hskp14
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c1_1(X86)
            | c3_1(X86) ) ) )
    & ( hskp29
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp19
      | hskp29
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) ) )
    & ( hskp22
      | hskp1
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp23
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) ) )
    & ( hskp15
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) ) )
    & ( hskp22
      | hskp14
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp13
      | hskp21
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp20
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp19
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp18
      | hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp17
      | hskp12
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c3_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp3
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp9
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c0_1(X67)
            | c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp16
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp27
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) ) )
    & ( hskp6
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c1_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp8
      | hskp15
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp14
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp9
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp2
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c3_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp13
      | hskp12
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp6
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c3_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp26
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c3_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp11
      | hskp10
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp28
      | hskp26
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c1_1(X32)
            | c2_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp9
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c2_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c1_1(X27)
            | c2_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c2_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp8
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp4
      | hskp7
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp6
      | hskp27
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c2_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c2_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp4
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp2
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c2_1(X16)
            | c1_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp3
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp4
      | hskp3
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c0_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp0
      | hskp26
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | c2_1(X3)
            | c1_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c2_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp8
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp2
      | hskp1
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88) ) )
    & ( hskp15
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp7
      | hskp14
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | c3_1(X86) ) )
    & ( hskp29
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) ) )
    & ( hskp19
      | hskp29
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83) ) )
    & ( hskp22
      | hskp1
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp23
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80) ) )
    & ( hskp15
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c2_1(X78) ) )
    & ( hskp22
      | hskp14
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp13
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76) ) )
    & ( hskp20
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp18
      | hskp3
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp17
      | hskp12
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70) ) )
    & ( hskp3
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp9
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp16
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp27
      | ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp6
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c1_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c0_1(X56)
          | c2_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | c3_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp8
      | hskp15
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | hskp14
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp9
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) ) )
    & ( hskp2
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | c3_1(X41)
          | c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | c3_1(X40)
          | c0_1(X40) ) )
    & ( hskp13
      | hskp12
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp6
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c3_1(X37)
          | c0_1(X37) ) )
    & ( hskp26
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp10
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp28
      | hskp26
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c1_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp8
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp4
      | hskp7
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp6
      | hskp27
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp5
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp4
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp2
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c2_1(X16)
          | c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | hskp3
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp0
      | hskp26
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c0_1(X3)
          | c2_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp8
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp2
      | hskp1
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88) ) )
    & ( hskp15
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp7
      | hskp14
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c1_1(X86)
          | c3_1(X86) ) )
    & ( hskp29
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) ) )
    & ( hskp19
      | hskp29
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83) ) )
    & ( hskp22
      | hskp1
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp23
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80) ) )
    & ( hskp15
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c2_1(X78) ) )
    & ( hskp22
      | hskp14
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp13
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c0_1(X76)
          | c1_1(X76) ) )
    & ( hskp20
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp18
      | hskp3
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp17
      | hskp12
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70) ) )
    & ( hskp3
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp9
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp16
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp27
      | ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp6
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c1_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c0_1(X56)
          | c2_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | c3_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp8
      | hskp15
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | hskp14
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp9
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) ) )
    & ( hskp2
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | c3_1(X41)
          | c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | c3_1(X40)
          | c0_1(X40) ) )
    & ( hskp13
      | hskp12
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp6
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c3_1(X37)
          | c0_1(X37) ) )
    & ( hskp26
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp10
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp28
      | hskp26
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c1_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c0_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp8
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp4
      | hskp7
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp6
      | hskp27
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp5
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp4
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp2
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c2_1(X16)
          | c1_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | hskp3
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp0
      | hskp26
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c0_1(X3)
          | c2_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f11,plain,
    ( hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp20
    | hskp24
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X88] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | c3_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X86] :
      ( hskp7
      | hskp14
      | ~ ndr1_0
      | ~ c2_1(X86)
      | ~ c1_1(X86)
      | c3_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X82] :
      ( hskp22
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X82)
      | c3_1(X82)
      | c2_1(X82) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X77] :
      ( hskp22
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X77)
      | ~ c2_1(X77)
      | c1_1(X77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76] :
      ( hskp13
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c0_1(X76)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( c3_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( c2_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( c1_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c1_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c3_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c3_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c1_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c3_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c3_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c1_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c1_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c1_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_51,negated_conjecture,
    ( c1_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a815) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_55,negated_conjecture,
    ( c3_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a816) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_58,negated_conjecture,
    ( c2_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a817) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a817) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a820)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a820) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a820) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a825) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a828) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a828) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_82,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a830) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a830) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_86,negated_conjecture,
    ( c3_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a831) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a831) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_103,negated_conjecture,
    ( c3_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a839) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_107,negated_conjecture,
    ( c1_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a842) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_129,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_130,negated_conjecture,
    ( c3_1(a856)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a856) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a856) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a857) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a857) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_138,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a860) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a860) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a860) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a862)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a862) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a878) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a878) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

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

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp13
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_221,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp20 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_223,negated_conjecture,
    ( hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_240,plain,
    ( hskp2
    | hskp1
    | c3_1(a815)
    | ~ ndr1_0
    | ~ c2_1(a815)
    | ~ c1_1(a815) ),
    inference(instantiation,[status(thm)],[c_218]) ).

tcf(c_256,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_221,c_161,c_145,c_129]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp1
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_221,c_161,c_145,c_129,c_213]) ).

tcf(c_349,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_221,c_161,c_145,c_129,c_218]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_349]) ).

tcf(c_355,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_221,c_161,c_145,c_129,c_216]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp7
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_355]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_221,c_161,c_145,c_129,c_210]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp14
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_361]) ).

tcf(c_364,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp13
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_221,c_161,c_145,c_129,c_209]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp13
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_364]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_221,c_161,c_145,c_129,c_172]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_221,c_161,c_145,c_129,c_169]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_221,c_161,c_145,c_129,c_179]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_221,c_161,c_145,c_129,c_178]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_221,c_161,c_145,c_129,c_170]) ).

tcf(c_394,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_221,c_161,c_145,c_129,c_177]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_397,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_221,c_161,c_145,c_129,c_171]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_397]) ).

tcf(c_399,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_221,c_161,c_145,c_129,c_212]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_399]) ).

tcf(c_401,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_221,c_161,c_145,c_129,c_203]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_406,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_221,c_161,c_145,c_129,c_189]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_410,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_221,c_161,c_145,c_129,c_184]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_412,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_221,c_161,c_145,c_129,c_176]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_412]) ).

tcf(c_414,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_221,c_161,c_145,c_129,c_211]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_416,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_221,c_161,c_145,c_129,c_208]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_221,c_161,c_145,c_129,c_204]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_221,c_161,c_145,c_129,c_194]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_425,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_221,c_161,c_145,c_129,c_215]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_428,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_221,c_161,c_145,c_129,c_219]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_221,c_161,c_145,c_129,c_191]) ).

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

tcf(c_433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_221,c_161,c_145,c_129,c_198]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_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)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_221,c_161,c_145,c_129,c_201]) ).

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

tcf(c_437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_197,c_256]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_221,c_161,c_145,c_129,c_193]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_221,c_161,c_145,c_129,c_185]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_221,c_161,c_145,c_129,c_183]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_221,c_161,c_145,c_129,c_174]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_1702,plain,
    ( hskp14
    | ~ c3_1(a878) ),
    inference(resolution,[status(thm)],[c_223,c_148]) ).

tcf(c_1709,plain,
    ( hskp14
    | ~ c0_1(a878) ),
    inference(resolution,[status(thm)],[c_223,c_147]) ).

tcf(c_1716,plain,
    ( hskp14
    | c1_1(a878) ),
    inference(resolution,[status(thm)],[c_223,c_146]) ).

tcf(c_13658,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_446]) ).

tcf(c_13660,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_446]) ).

tcf(c_13662,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_444]) ).

tcf(c_13663,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_444]) ).

tcf(c_13664,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_444]) ).

tcf(c_13666,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_442]) ).

tcf(c_13667,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_442]) ).

tcf(c_13668,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_13669,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_440]) ).

tcf(c_13670,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_440]) ).

tcf(c_13671,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_440]) ).

tcf(c_13672,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_13673,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_438]) ).

tcf(c_13674,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_438]) ).

tcf(c_13675,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_438]) ).

tcf(c_13676,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_13677,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_436]) ).

tcf(c_13678,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_436]) ).

tcf(c_13680,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_434]) ).

tcf(c_13681,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_434]) ).

tcf(c_13683,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_432]) ).

tcf(c_13684,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_432]) ).

tcf(c_13685,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

tcf(c_13686,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_13687,negated_conjecture,
    ( iPr_def_24
    | iPr_def_15
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_13688,negated_conjecture,
    ( iPr_def_12
    | iPr_def_10
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_13689,negated_conjecture,
    ( iPr_def_24
    | iPr_def_19
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_13691,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_417]) ).

tcf(c_13692,negated_conjecture,
    ( iPr_def_30
    | iPr_def_17
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_13693,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_415]) ).

tcf(c_13695,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_413]) ).

tcf(c_13696,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

tcf(c_13697,negated_conjecture,
    ( iPr_def_15
    | iPr_def_13
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_13700,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_407]) ).

tcf(c_13703,negated_conjecture,
    ( iPr_def_25
    | iPr_def_15
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_13704,negated_conjecture,
    ( iPr_def_22
    | iPr_def_15
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

tcf(c_13705,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_398]) ).

tcf(c_13706,negated_conjecture,
    ( iPr_def_35
    | iPr_def_34
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

tcf(c_13707,negated_conjecture,
    ( iPr_def_32
    | iPr_def_19
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_13712,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

tcf(c_13713,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_383]) ).

tcf(c_13715,negated_conjecture,
    ( iPr_def_37
    | iPr_def_31
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

tcf(c_13716,negated_conjecture,
    ( iPr_def_35
    | iPr_def_27
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

tcf(c_13717,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_376]) ).

tcf(c_13718,negated_conjecture,
    ( iPr_def_38
    | iPr_def_32 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_376]) ).

tcf(c_13723,negated_conjecture,
    ( iPr_def_17
    | hskp21
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_13724,negated_conjecture,
    ( iPr_def_30
    | hskp22
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_13726,negated_conjecture,
    ( iPr_def_29
    | hskp14
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_13728,negated_conjecture,
    ( iPr_def_29
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

tcf(c_13736,negated_conjecture,
    ( iPr_def_22
    | hskp22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

tcf(c_13751,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_13668]) ).

tcf(c_13754,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13663]) ).

tcf(c_13755,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_13672]) ).

tcf(c_13759,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(demodulation,[status(thm)],[c_13676]) ).

tcf(c_13762,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13673]) ).

tcf(c_13771,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_13685]) ).

tcf(c_13775,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_13686]) ).

tcf(c_13777,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13680]) ).

tcf(c_13778,negated_conjecture,
    ( iPr_def_24
    | iPr_def_15
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_13687]) ).

tcf(c_13781,negated_conjecture,
    ( iPr_def_12
    | iPr_def_10
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_13688]) ).

tcf(c_13782,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13660]) ).

tcf(c_13784,negated_conjecture,
    ( iPr_def_24
    | iPr_def_19
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_13689]) ).

tcf(c_13788,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13675]) ).

tcf(c_13790,negated_conjecture,
    ( iPr_def_30
    | iPr_def_17
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_13692]) ).

tcf(c_13795,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13677]) ).

tcf(c_13796,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_13696]) ).

tcf(c_13797,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13669]) ).

tcf(c_13799,negated_conjecture,
    ( iPr_def_15
    | iPr_def_13
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_13697]) ).

tcf(c_13811,negated_conjecture,
    ( iPr_def_25
    | iPr_def_15
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_13703]) ).

tcf(c_13814,negated_conjecture,
    ( iPr_def_22
    | iPr_def_15
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_13704]) ).

tcf(c_13815,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13664]) ).

tcf(c_13817,negated_conjecture,
    ( iPr_def_35
    | iPr_def_34
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_13706]) ).

tcf(c_13818,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_34
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13700]) ).

tcf(c_13820,negated_conjecture,
    ( iPr_def_32
    | iPr_def_19
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_13707]) ).

tcf(c_13822,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13670]) ).

tcf(c_13825,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_13
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13662]) ).

tcf(c_13827,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_28
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13683]) ).

tcf(c_13832,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13712]) ).

tcf(c_13833,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_25
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13678]) ).

tcf(c_13838,negated_conjecture,
    ( iPr_def_37
    | iPr_def_31
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_13715]) ).

tcf(c_13839,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_31
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13693]) ).

tcf(c_13841,negated_conjecture,
    ( iPr_def_35
    | iPr_def_27
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13716]) ).

tcf(c_13842,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_35 ),
    inference(demodulation,[status(thm)],[c_13705]) ).

tcf(c_13843,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_13681]) ).

tcf(c_13844,negated_conjecture,
    ( iPr_def_38
    | iPr_def_32 ),
    inference(demodulation,[status(thm)],[c_13718]) ).

tcf(c_13845,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_32
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13695]) ).

tcf(c_13852,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13658]) ).

tcf(c_13853,negated_conjecture,
    ( iPr_def_17
    | hskp21
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_13723]) ).

tcf(c_13854,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_17
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13667]) ).

tcf(c_13855,negated_conjecture,
    ( iPr_def_30
    | hskp22
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_13724]) ).

tcf(c_13856,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_30
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13691]) ).

tcf(c_13858,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_20
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13671]) ).

tcf(c_13859,negated_conjecture,
    ( iPr_def_29
    | hskp14
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_13726]) ).

tcf(c_13863,negated_conjecture,
    ( iPr_def_29
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13728]) ).

tcf(c_13864,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_29
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13684]) ).

tcf(c_13870,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13666]) ).

tcf(c_13877,negated_conjecture,
    ( iPr_def_22
    | hskp22
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13736]) ).

tcf(c_13878,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_22
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13674]) ).

tcf(c_13880,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_38 ),
    inference(demodulation,[status(thm)],[c_13717]) ).

tcf(c_13884,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_37 ),
    inference(demodulation,[status(thm)],[c_13713]) ).

tcf(c_13988,plain,
    ( c2_1(a815)
    | c3_1(a815)
    | ~ iPr_def_22
    | ~ c1_1(a815) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_13991,plain,
    ( c2_1(a815)
    | c3_1(a815)
    | ~ iPr_def_31
    | ~ c0_1(a815) ),
    inference(instantiation,[status(thm)],[c_13839]) ).

tcf(c_13996,plain,
    ( c3_1(a815)
    | ~ iPr_def_12
    | ~ c1_1(a815)
    | ~ c0_1(a815) ),
    inference(instantiation,[status(thm)],[c_13782]) ).

tcf(c_14005,plain,
    ( c3_1(a815)
    | ~ iPr_def_29
    | ~ c2_1(a815)
    | ~ c1_1(a815) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

tcf(c_14007,plain,
    ( c3_1(a815)
    | ~ iPr_def_34
    | ~ c2_1(a815)
    | ~ c0_1(a815) ),
    inference(instantiation,[status(thm)],[c_13818]) ).

tcf(c_14014,plain,
    ( c2_1(a839)
    | ~ iPr_def_14
    | ~ c3_1(a839)
    | ~ c1_1(a839) ),
    inference(instantiation,[status(thm)],[c_13754]) ).

tcf(c_14025,plain,
    ( c2_1(a816)
    | ~ iPr_def_15
    | ~ c3_1(a816)
    | ~ c0_1(a816) ),
    inference(instantiation,[status(thm)],[c_13815]) ).

tcf(c_14026,plain,
    ( c2_1(a828)
    | ~ iPr_def_15
    | ~ c3_1(a828)
    | ~ c0_1(a828) ),
    inference(instantiation,[status(thm)],[c_13815]) ).

tcf(c_14027,plain,
    ( c2_1(a842)
    | ~ iPr_def_15
    | ~ c3_1(a842)
    | ~ c0_1(a842) ),
    inference(instantiation,[status(thm)],[c_13815]) ).

tcf(c_14030,plain,
    ( c2_1(a816)
    | c1_1(a816)
    | ~ iPr_def_19
    | ~ c3_1(a816) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

tcf(c_14035,plain,
    ( c2_1(a856)
    | c1_1(a856)
    | ~ iPr_def_19
    | ~ c3_1(a856) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

tcf(c_14045,plain,
    ( c2_1(a828)
    | c3_1(a828)
    | c1_1(a828)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14050,plain,
    ( c2_1(a860)
    | c3_1(a860)
    | c1_1(a860)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14056,plain,
    ( c1_1(a856)
    | c0_1(a856)
    | ~ iPr_def_32
    | ~ c3_1(a856) ),
    inference(instantiation,[status(thm)],[c_13845]) ).

tcf(c_14064,plain,
    ( c0_1(a825)
    | ~ iPr_def_10
    | ~ c3_1(a825)
    | ~ c1_1(a825) ),
    inference(instantiation,[status(thm)],[c_13852]) ).

tcf(c_14076,plain,
    ( c2_1(a816)
    | c1_1(a816)
    | ~ iPr_def_25
    | ~ c0_1(a816) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14082,plain,
    ( c2_1(a856)
    | c1_1(a856)
    | ~ iPr_def_25
    | ~ c0_1(a856) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14085,plain,
    ( c2_1(a830)
    | c3_1(a830)
    | ~ iPr_def_22
    | ~ c1_1(a830) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_14087,plain,
    ( c2_1(a842)
    | c3_1(a842)
    | ~ iPr_def_22
    | ~ c1_1(a842) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_14092,plain,
    ( c3_1(a817)
    | c1_1(a817)
    | c0_1(a817)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_13880]) ).

tcf(c_14096,plain,
    ( c3_1(a830)
    | c1_1(a830)
    | c0_1(a830)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_13880]) ).

tcf(c_14100,plain,
    ( c3_1(a860)
    | c1_1(a860)
    | c0_1(a860)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_13880]) ).

tcf(c_14101,plain,
    ( c0_1(a817)
    | ~ iPr_def_18
    | ~ c2_1(a817)
    | ~ c1_1(a817) ),
    inference(instantiation,[status(thm)],[c_13797]) ).

tcf(c_14117,plain,
    ( c1_1(a862)
    | ~ iPr_def_17
    | ~ c3_1(a862)
    | ~ c0_1(a862) ),
    inference(instantiation,[status(thm)],[c_13854]) ).

tcf(c_14120,plain,
    ( c2_1(a862)
    | c1_1(a862)
    | ~ iPr_def_19
    | ~ c3_1(a862) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

tcf(c_14123,plain,
    ( c2_1(a830)
    | c3_1(a830)
    | c1_1(a830)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14159,plain,
    ( c0_1(a878)
    | ~ iPr_def_18
    | ~ c2_1(a878)
    | ~ c1_1(a878) ),
    inference(instantiation,[status(thm)],[c_13797]) ).

tcf(c_14165,plain,
    ( c1_1(a860)
    | c0_1(a860)
    | ~ iPr_def_32
    | ~ c3_1(a860) ),
    inference(instantiation,[status(thm)],[c_13845]) ).

tcf(c_14166,plain,
    ( c2_1(a860)
    | c1_1(a860)
    | ~ iPr_def_19
    | ~ c3_1(a860) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

tcf(c_14176,plain,
    ( c3_1(a878)
    | ~ iPr_def_29
    | ~ c2_1(a878)
    | ~ c1_1(a878) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

tcf(c_14201,plain,
    ( c2_1(a839)
    | c0_1(a839)
    | ~ iPr_def_16
    | ~ c3_1(a839) ),
    inference(instantiation,[status(thm)],[c_13870]) ).

tcf(c_14202,plain,
    ( c2_1(a856)
    | c0_1(a856)
    | ~ iPr_def_16
    | ~ c3_1(a856) ),
    inference(instantiation,[status(thm)],[c_13870]) ).

tcf(c_14213,plain,
    ( c2_1(a860)
    | c3_1(a860)
    | c0_1(a860)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_13884]) ).

tcf(c_14232,plain,
    ( c1_1(a816)
    | ~ iPr_def_17
    | ~ c3_1(a816)
    | ~ c0_1(a816) ),
    inference(instantiation,[status(thm)],[c_13854]) ).

tcf(c_14240,plain,
    ( c2_1(a831)
    | c0_1(a831)
    | ~ iPr_def_16
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_13870]) ).

tcf(c_14241,plain,
    ( c0_1(a831)
    | ~ iPr_def_21
    | ~ c2_1(a831)
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_13762]) ).

tcf(c_14242,plain,
    ( c2_1(a831)
    | ~ iPr_def_15
    | ~ c3_1(a831)
    | ~ c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13815]) ).

tcf(c_14245,plain,
    ( c1_1(a831)
    | c0_1(a831)
    | ~ iPr_def_32
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_13845]) ).

tcf(c_14246,plain,
    ( c2_1(a831)
    | c1_1(a831)
    | ~ iPr_def_19
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

tcf(c_14248,plain,
    ( c1_1(a820)
    | ~ iPr_def_23
    | ~ c2_1(a820)
    | ~ c0_1(a820) ),
    inference(instantiation,[status(thm)],[c_13788]) ).

tcf(c_14255,plain,
    ( c1_1(a862)
    | ~ iPr_def_23
    | ~ c2_1(a862)
    | ~ c0_1(a862) ),
    inference(instantiation,[status(thm)],[c_13788]) ).

tcf(c_14269,plain,
    ( c2_1(a830)
    | c1_1(a830)
    | c0_1(a830)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_13842]) ).

tcf(c_14275,plain,
    ( c2_1(a860)
    | c1_1(a860)
    | c0_1(a860)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_13842]) ).

tcf(c_14315,plain,
    ( ~ iPr_def_26
    | ~ c2_1(a865)
    | ~ c3_1(a865)
    | ~ c1_1(a865) ),
    inference(instantiation,[status(thm)],[c_13777]) ).

tcf(c_14571,plain,
    ( c1_1(a831)
    | ~ iPr_def_30
    | ~ c2_1(a831)
    | ~ c3_1(a831) ),
    inference(instantiation,[status(thm)],[c_13856]) ).

tcf(c_14576,plain,
    ( c1_1(a862)
    | ~ iPr_def_30
    | ~ c2_1(a862)
    | ~ c3_1(a862) ),
    inference(instantiation,[status(thm)],[c_13856]) ).

tcf(c_14577,plain,
    ( c1_1(a816)
    | ~ iPr_def_30
    | ~ c2_1(a816)
    | ~ c3_1(a816) ),
    inference(instantiation,[status(thm)],[c_13856]) ).

tcf(c_14595,plain,
    ( c2_1(a857)
    | c3_1(a857)
    | c1_1(a857)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14596,plain,
    ( c2_1(a857)
    | c3_1(a857)
    | ~ iPr_def_22
    | ~ c1_1(a857) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_14597,plain,
    ( c2_1(a857)
    | c1_1(a857)
    | ~ iPr_def_25
    | ~ c0_1(a857) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14614,plain,
    ( c2_1(a828)
    | c1_1(a828)
    | ~ iPr_def_25
    | ~ c0_1(a828) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14615,plain,
    ( c3_1(a817)
    | c0_1(a817)
    | ~ iPr_def_28
    | ~ c2_1(a817) ),
    inference(instantiation,[status(thm)],[c_13827]) ).

tcf(c_14619,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a816)
    | ~ c1_1(a816)
    | ~ c0_1(a816) ),
    inference(instantiation,[status(thm)],[c_13795]) ).

tcf(c_14620,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a831)
    | ~ c1_1(a831)
    | ~ c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13795]) ).

tcf(c_14621,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ c0_1(a839) ),
    inference(instantiation,[status(thm)],[c_13795]) ).

tcf(c_14631,plain,
    ( c2_1(a842)
    | ~ iPr_def_20
    | ~ c1_1(a842)
    | ~ c0_1(a842) ),
    inference(instantiation,[status(thm)],[c_13858]) ).

tcf(c_14634,plain,
    ( c2_1(a857)
    | ~ iPr_def_20
    | ~ c1_1(a857)
    | ~ c0_1(a857) ),
    inference(instantiation,[status(thm)],[c_13858]) ).

tcf(c_14641,plain,
    ( c1_1(a828)
    | ~ iPr_def_17
    | ~ c3_1(a828)
    | ~ c0_1(a828) ),
    inference(instantiation,[status(thm)],[c_13854]) ).

tcf(c_14739,plain,
    ( c2_1(a820)
    | c3_1(a820)
    | c1_1(a820)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14741,plain,
    ( c2_1(a820)
    | c1_1(a820)
    | ~ iPr_def_25
    | ~ c0_1(a820) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14814,plain,
    ( c2_1(a862)
    | c1_1(a862)
    | ~ iPr_def_25
    | ~ c0_1(a862) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14835,plain,
    ( c2_1(a831)
    | c0_1(a831)
    | ~ iPr_def_13
    | ~ c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13825]) ).

tcf(c_14839,plain,
    ( c2_1(a831)
    | c3_1(a831)
    | c1_1(a831)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_13843]) ).

tcf(c_14840,plain,
    ( c2_1(a831)
    | c3_1(a831)
    | ~ iPr_def_22
    | ~ c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_14841,plain,
    ( c2_1(a831)
    | c1_1(a831)
    | ~ iPr_def_25
    | ~ c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13833]) ).

tcf(c_14931,plain,
    ( c3_1(a817)
    | ~ iPr_def_29
    | ~ c2_1(a817)
    | ~ c1_1(a817) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

tcf(c_14940,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a842)
    | ~ c1_1(a842)
    | ~ c0_1(a842) ),
    inference(instantiation,[status(thm)],[c_13795]) ).

tcf(c_14980,plain,
    ( c2_1(a878)
    | c3_1(a878)
    | ~ iPr_def_22
    | ~ c1_1(a878) ),
    inference(instantiation,[status(thm)],[c_13878]) ).

tcf(c_15008,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14980,c_14940,c_14931,c_14835,c_14839,c_14840,c_14841,c_14814,c_14739,c_14741,c_14641,c_14634,c_14631,c_14621,c_14620,c_14619,c_14615,c_14614,c_14595,c_14596,c_14597,c_14577,c_14576,c_14571,c_14315,c_14275,c_14269,c_14255,c_14248,c_14240,c_14241,c_14242,c_14245,c_14246,c_14232,c_14213,c_14202,c_14201,c_14176,c_14165,c_14166,c_14159,c_14123,c_14117,c_14120,c_14101,c_14100,c_14096,c_14092,c_14087,c_14085,c_14082,c_14076,c_14064,c_14056,c_14050,c_14045,c_14035,c_14030,c_14027,c_14026,c_14025,c_14014,c_14007,c_14005,c_13996,c_13991,c_13988,c_13877,c_13863,c_13859,c_13855,c_13853,c_13841,c_13838,c_13832,c_13820,c_13817,c_13814,c_13811,c_13799,c_13796,c_13790,c_13784,c_13781,c_13778,c_13775,c_13771,c_13759,c_13755,c_13751,c_13844,c_1716,c_1709,c_1702,c_256,c_240,c_52,c_56,c_59,c_60,c_63,c_64,c_72,c_79,c_80,c_82,c_83,c_84,c_87,c_88,c_104,c_108,c_131,c_132,c_135,c_136,c_138,c_139,c_140,c_144,c_50,c_51,c_54,c_55,c_58,c_62,c_70,c_71,c_78,c_86,c_102,c_103,c_106,c_107,c_130,c_134,c_142,c_143,c_166,c_167,c_168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN452+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.57  % Computer : n006.cluster.edu
% 0.09/5.57  % Model    : x86_64 x86_64
% 0.09/5.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57  % Memory   : 8046.5625MB
% 0.09/5.57  % OS       : Linux 6.8.0-71-generic
% 0.09/5.57  % CPULimit : 300
% 0.09/5.57  % WCLimit  : 300
% 0.09/5.57  % DateTime : Fri Sep 25 01:15:33 UTC 2026
% 0.09/5.57  % CPUTime  : 
% 0.09/5.57  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.61  Running first-order theorem proving
% 0.14/5.61  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.62  
% 0.14/5.62  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.62  
% 0.14/5.62  % Detected problem language: tptp
% 0.14/5.63  % Proving...
% 4.23/6.50  % SZS status Started for theBenchmark.p
% 4.23/6.50  % SZS status Theorem for theBenchmark.p
% 4.23/6.50  
% 4.23/6.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.23/6.50  
% 4.23/6.50  % ------  iProver source info
% 4.23/6.50  
% 4.23/6.50  % git: date: 2026-07-19 20:42:38 +0200
% 4.23/6.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.23/6.50  % git: non_committed_changes: false
% 4.23/6.50  
% 4.23/6.50  % ------ Parsing...
% 4.23/6.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.23/6.50  % 
% 4.23/6.50  
% 4.23/6.50  % ------ 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 % 
% 4.23/6.50  
% 4.23/6.50  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.23/6.50   gs_s  sp: 91 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.23/6.50  % ------ Proving...
% 4.23/6.50  % ------ Problem Properties 
% 4.23/6.50  
% 4.23/6.50  % 
% 4.23/6.50  % clauses                               180
% 4.23/6.50  % conjectures                           177
% 4.23/6.50  % EPR                                   180
% 4.23/6.50  % Horn                                  102
% 4.23/6.50  % unary                                 0
% 4.23/6.50  % binary                                89
% 4.23/6.50  % lits                                  483
% 4.23/6.50  % lits eq                               0
% 4.23/6.50  % fd_pure                               0
% 4.23/6.50  % fd_pseudo                             0
% 4.23/6.50  % fd_cond                               0
% 4.23/6.50  % fd_pseudo_cond                        0
% 4.23/6.50  % AC symbols                            0
% 4.23/6.50  
% 4.23/6.50  % ------ Schedule EPR non Horn non eq is on
% 4.23/6.50  
% 4.23/6.50  % ------ no equalities: superposition off 
% 4.23/6.50  
% 4.23/6.50  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.23/6.50  
% 4.23/6.50  
% 4.23/6.50  % ------ 
% 4.23/6.50  % Current options:
% 4.23/6.50  % ------ 
% 4.23/6.50  
% 4.23/6.50  
% 4.23/6.50  % 
% 4.23/6.50  
% 4.23/6.50  % ------ Proving...
% 4.23/6.50  % 
% 4.23/6.50  
% 4.23/6.50  % SZS status Theorem for theBenchmark.p
% 4.23/6.50  
% 4.23/6.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.23/6.50  
% 4.23/6.50  
%------------------------------------------------------------------------------