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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n010.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 03:40:14 PM UTC 2026

% Result   : Theorem 4.19s 1.30s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f190ERROR: Could not build tree for root c_14524ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp25
        | hskp12
        | hskp20 )
      & ( hskp16
        | hskp26 )
      & ( hskp12
        | hskp11
        | hskp26 )
      & ( hskp23
        | hskp15
        | hskp6 )
      & ( hskp24
        | hskp5
        | hskp17 )
      & ( hskp10
        | hskp1
        | hskp7 )
      & ( hskp10
        | hskp27
        | hskp29 )
      & ( hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c1_1(X93) ) ) )
      & ( hskp21
        | hskp17
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp23
        | hskp26
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp8
        | hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp25
        | hskp15
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp4
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp11
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp24
        | hskp23
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c0_1(X84)
              | c3_1(X84) ) ) )
      & ( hskp4
        | hskp17
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp22
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( hskp21
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp3
        | hskp27
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp20
        | hskp11
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | hskp19
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp18
        | hskp17
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp4
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp16
        | hskp11
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp5
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp17
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c3_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp13
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp15
        | hskp6
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp7
        | ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp14
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( hskp0
        | hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp3
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c2_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp13
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c0_1(X51)
              | c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp12
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c3_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp12
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c2_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp11
        | hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp9
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp5
        | hskp8
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp4
        | hskp7
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | ~ c0_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp5
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp4
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c0_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp3
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp0
        | hskp2
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp0
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp1
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp0
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a354)
          & c1_1(a354)
          & c0_1(a354)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a334)
          & c2_1(a334)
          & c0_1(a334)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a349)
          & ~ c2_1(a349)
          & c0_1(a349)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a346)
          & ~ c1_1(a346)
          & ~ c0_1(a346)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a342)
          & ~ c1_1(a342)
          & c3_1(a342)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a341)
          & c3_1(a341)
          & c2_1(a341)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a338)
          & ~ c2_1(a338)
          & ~ c1_1(a338)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a336)
          & ~ c0_1(a336)
          & c3_1(a336)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a333)
          & ~ c2_1(a333)
          & c1_1(a333)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a330)
          & c2_1(a330)
          & c1_1(a330)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a329)
          & ~ c0_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a323)
          & c2_1(a323)
          & c0_1(a323)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a321)
          & c3_1(a321)
          & c2_1(a321)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a320)
          & ~ c0_1(a320)
          & c1_1(a320)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a315)
          & c2_1(a315)
          & c1_1(a315)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a313)
          & c3_1(a313)
          & c0_1(a313)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a310)
          & ~ c0_1(a310)
          & c3_1(a310)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a309)
          & c3_1(a309)
          & c1_1(a309)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a308)
          & c3_1(a308)
          & c1_1(a308)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a307)
          & ~ c1_1(a307)
          & c0_1(a307)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a305)
          & ~ c0_1(a305)
          & c2_1(a305)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a303)
          & c1_1(a303)
          & c0_1(a303)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a302)
          & ~ c1_1(a302)
          & c0_1(a302)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a301)
          & ~ c1_1(a301)
          & c2_1(a301)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a300)
          & ~ c1_1(a300)
          & ~ c0_1(a300)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a299)
          & c3_1(a299)
          & c0_1(a299)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a297)
          & ~ c0_1(a297)
          & c1_1(a297)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a295)
          & c2_1(a295)
          & c0_1(a295)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a294)
          & ~ c2_1(a294)
          & ~ c0_1(a294)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp25
          | hskp12
          | hskp20 )
        & ( hskp16
          | hskp26 )
        & ( hskp12
          | hskp11
          | hskp26 )
        & ( hskp23
          | hskp15
          | hskp6 )
        & ( hskp24
          | hskp5
          | hskp17 )
        & ( hskp10
          | hskp1
          | hskp7 )
        & ( hskp10
          | hskp27
          | hskp29 )
        & ( hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) ) )
        & ( hskp21
          | hskp17
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp23
          | hskp26
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp8
          | hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp25
          | hskp15
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp4
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp11
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp24
          | hskp23
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c0_1(X84)
                | c3_1(X84) ) ) )
        & ( hskp4
          | hskp17
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp22
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( hskp21
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp3
          | hskp27
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp20
          | hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | hskp19
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp18
          | hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp4
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp16
          | hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp5
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp17
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp13
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp15
          | hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp7
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp14
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp0
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp3
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp13
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp12
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp12
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c2_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp9
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp5
          | hskp8
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp7
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp5
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp4
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp3
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp0
          | hskp2
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp0
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp1
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp0
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a354)
            & c1_1(a354)
            & c0_1(a354)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a334)
            & c2_1(a334)
            & c0_1(a334)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a349)
            & ~ c2_1(a349)
            & c0_1(a349)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a346)
            & ~ c1_1(a346)
            & ~ c0_1(a346)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a342)
            & ~ c1_1(a342)
            & c3_1(a342)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a341)
            & c3_1(a341)
            & c2_1(a341)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a338)
            & ~ c2_1(a338)
            & ~ c1_1(a338)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a336)
            & ~ c0_1(a336)
            & c3_1(a336)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a333)
            & ~ c2_1(a333)
            & c1_1(a333)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a330)
            & c2_1(a330)
            & c1_1(a330)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a329)
            & ~ c0_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a323)
            & c2_1(a323)
            & c0_1(a323)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a321)
            & c3_1(a321)
            & c2_1(a321)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a320)
            & ~ c0_1(a320)
            & c1_1(a320)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a315)
            & c2_1(a315)
            & c1_1(a315)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a313)
            & c3_1(a313)
            & c0_1(a313)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a310)
            & ~ c0_1(a310)
            & c3_1(a310)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a309)
            & c3_1(a309)
            & c1_1(a309)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a308)
            & c3_1(a308)
            & c1_1(a308)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a307)
            & ~ c1_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a305)
            & ~ c0_1(a305)
            & c2_1(a305)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a303)
            & c1_1(a303)
            & c0_1(a303)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a302)
            & ~ c1_1(a302)
            & c0_1(a302)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a301)
            & ~ c1_1(a301)
            & c2_1(a301)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a300)
            & ~ c1_1(a300)
            & ~ c0_1(a300)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a299)
            & c3_1(a299)
            & c0_1(a299)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a297)
            & ~ c0_1(a297)
            & c1_1(a297)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a295)
            & c2_1(a295)
            & c0_1(a295)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a294)
            & ~ c2_1(a294)
            & ~ c0_1(a294)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | ~ c1_1(X93) ) ) )
    & ( hskp21
      | hskp17
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c1_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( hskp23
      | hskp26
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | ~ c0_1(X91) ) ) )
    & ( hskp8
      | hskp6
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) ) )
    & ( hskp25
      | hskp15
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c1_1(X89)
            | c3_1(X89) ) ) )
    & ( hskp4
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c3_1(X87) ) ) )
    & ( hskp11
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) ) )
    & ( hskp24
      | hskp23
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c0_1(X84)
            | c3_1(X84) ) ) )
    & ( hskp4
      | hskp17
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c3_1(X83) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c1_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp22
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) ) )
    & ( hskp17
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c1_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | c2_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) ) )
    & ( hskp21
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) ) )
    & ( hskp3
      | hskp27
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp20
      | hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp12
      | hskp19
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c0_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp18
      | hskp17
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp4
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp16
      | hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | c3_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp5
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c2_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp17
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp13
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp16
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) ) )
    & ( hskp15
      | hskp6
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) ) )
    & ( hskp7
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) ) )
    & ( hskp14
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c2_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp0
      | hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp3
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c2_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp13
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | ~ c0_1(X51)
            | c3_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp12
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c3_1(X49)
            | c2_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp8
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c3_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp12
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c2_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp11
      | hskp10
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp9
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp5
      | hskp8
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp4
      | hskp7
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp6
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | c3_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp5
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp4
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp3
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp0
      | hskp2
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp0
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp1
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c2_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp0
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c1_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c2_1(X4)
            | c1_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93) ) )
    & ( hskp21
      | hskp17
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp23
      | hskp26
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp8
      | hskp6
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp25
      | hskp15
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) ) )
    & ( hskp4
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp11
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp24
      | hskp23
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) ) )
    & ( hskp4
      | hskp17
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ c0_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81) ) )
    & ( hskp22
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80) ) )
    & ( hskp17
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) ) )
    & ( hskp21
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74) ) )
    & ( hskp3
      | hskp27
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp20
      | hskp11
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp12
      | hskp19
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) ) )
    & ( hskp18
      | hskp17
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp4
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp16
      | hskp11
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | c3_1(X67)
          | c1_1(X67) ) )
    & ( hskp5
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp17
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63) ) )
    & ( hskp13
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61) ) )
    & ( hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp15
      | hskp6
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp7
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp14
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( hskp0
      | hskp14
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54) ) )
    & ( hskp3
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp13
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c3_1(X49)
          | c2_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c3_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp12
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | c2_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | hskp10
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp9
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp5
      | hskp8
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp4
      | hskp7
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp6
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp5
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp4
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp3
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp0
      | hskp2
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp0
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp1
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c2_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp25
      | hskp12
      | hskp20 )
    & ( hskp16
      | hskp26 )
    & ( hskp12
      | hskp11
      | hskp26 )
    & ( hskp23
      | hskp15
      | hskp6 )
    & ( hskp24
      | hskp5
      | hskp17 )
    & ( hskp10
      | hskp1
      | hskp7 )
    & ( hskp10
      | hskp27
      | hskp29 )
    & ( hskp28
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93) ) )
    & ( hskp21
      | hskp17
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp23
      | hskp26
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp8
      | hskp6
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp25
      | hskp15
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | c3_1(X89) ) )
    & ( hskp4
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) ) )
    & ( hskp11
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp24
      | hskp23
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | ~ c0_1(X84)
          | c3_1(X84) ) )
    & ( hskp4
      | hskp17
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ c0_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | c2_1(X81) ) )
    & ( hskp22
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80) ) )
    & ( hskp17
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) ) )
    & ( hskp21
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74) ) )
    & ( hskp3
      | hskp27
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp20
      | hskp11
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp12
      | hskp19
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71) ) )
    & ( hskp18
      | hskp17
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp4
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp16
      | hskp11
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | c3_1(X67)
          | c1_1(X67) ) )
    & ( hskp5
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp17
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63) ) )
    & ( hskp13
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61) ) )
    & ( hskp16
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp15
      | hskp6
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp7
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c1_1(X58)
          | ~ c0_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp14
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( hskp0
      | hskp14
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54) ) )
    & ( hskp3
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp13
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp12
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c0_1(X49)
          | c3_1(X49)
          | c2_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c3_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp12
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | c2_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | hskp10
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp9
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp5
      | hskp8
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp4
      | hskp7
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp6
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | c3_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp5
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp4
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp3
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp0
      | hskp2
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp0
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp1
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c2_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a354)
        & c1_1(a354)
        & c0_1(a354)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a334)
        & c2_1(a334)
        & c0_1(a334)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a349)
        & ~ c2_1(a349)
        & c0_1(a349)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a346)
        & ~ c1_1(a346)
        & ~ c0_1(a346)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a342)
        & ~ c1_1(a342)
        & c3_1(a342)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a341)
        & c3_1(a341)
        & c2_1(a341)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a338)
        & ~ c2_1(a338)
        & ~ c1_1(a338)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a336)
        & ~ c0_1(a336)
        & c3_1(a336)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a333)
        & ~ c2_1(a333)
        & c1_1(a333)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a330)
        & c2_1(a330)
        & c1_1(a330)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a329)
        & ~ c0_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & c2_1(a323)
        & c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a321)
        & c3_1(a321)
        & c2_1(a321)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a320)
        & ~ c0_1(a320)
        & c1_1(a320)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a315)
        & c2_1(a315)
        & c1_1(a315)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a313)
        & c3_1(a313)
        & c0_1(a313)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a310)
        & ~ c0_1(a310)
        & c3_1(a310)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a309)
        & c3_1(a309)
        & c1_1(a309)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a308)
        & c3_1(a308)
        & c1_1(a308)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c0_1(a307)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a305)
        & ~ c0_1(a305)
        & c2_1(a305)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a303)
        & c1_1(a303)
        & c0_1(a303)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a302)
        & ~ c1_1(a302)
        & c0_1(a302)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a301)
        & ~ c1_1(a301)
        & c2_1(a301)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a300)
        & ~ c1_1(a300)
        & ~ c0_1(a300)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a297)
        & ~ c0_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a295)
        & c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a294)
        & ~ c2_1(a294)
        & ~ c0_1(a294)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp16
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp10
    | hskp27
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X74] :
      ( hskp21
      | ~ ndr1_0
      | ~ c0_1(X74)
      | c3_1(X74)
      | c2_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X72] :
      ( hskp20
      | hskp11
      | ~ ndr1_0
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X60] :
      ( hskp16
      | ~ ndr1_0
      | ~ c3_1(X60)
      | c2_1(X60)
      | c1_1(X60) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X43] :
      ( hskp11
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X43)
      | c2_1(X43)
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X39] :
      ( hskp4
      | hskp7
      | ~ ndr1_0
      | ~ c1_1(X39)
      | c2_1(X39)
      | c0_1(X39) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X24] :
      ( hskp0
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X24)
      | c1_1(X24)
      | c0_1(X24) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f77,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ c3_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ c2_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c1_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c0_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c3_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c2_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c1_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c3_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c2_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c3_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c3_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c0_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c1_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c1_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c2_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a303)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c1_1(a303)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a303)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c2_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a300)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c1_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c2_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c2_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ c0_1(a294)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a294) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a294) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a294) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a295)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a295) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a297)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a297) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a297) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_66,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a300) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a300) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a300) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a303)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_79,negated_conjecture,
    ( c1_1(a303)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a303) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_82,negated_conjecture,
    ( c2_1(a305)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a305) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a305) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_89,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_90,negated_conjecture,
    ( c1_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a308)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a308) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a309)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a309) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_98,negated_conjecture,
    ( c3_1(a310)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a310) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a310) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a321)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a321) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a333) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a333) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_134,negated_conjecture,
    ( c3_1(a336)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a336) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a336) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a349)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a349) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a349) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f77]) ).

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

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

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

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

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f56]) ).

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

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

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

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_222,negated_conjecture,
    ( hskp29
    | hskp27
    | hskp10 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_227,negated_conjecture,
    ( hskp26
    | hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_255,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_222,c_165,c_157,c_89]) ).

tcf(c_318,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_222,c_165,c_157,c_89,c_208]) ).

tcf(c_321,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_198,c_255]) ).

tcf(c_330,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_222,c_165,c_157,c_89,c_188]) ).

tcf(c_336,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_222,c_165,c_157,c_89,c_185]) ).

tcf(c_339,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp0
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_222,c_165,c_157,c_89,c_178]) ).

tcf(c_357,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp11
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_222,c_165,c_157,c_89,c_206]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp11
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_357]) ).

tcf(c_388,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_222,c_165,c_157,c_89,c_172]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_388]) ).

tcf(c_390,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_222,c_165,c_157,c_89,c_196]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_390]) ).

tcf(c_396,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_222,c_165,c_157,c_89,c_191]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_398,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_222,c_165,c_157,c_89,c_190]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_403,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_222,c_165,c_157,c_89,c_187]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_411,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_222,c_165,c_157,c_89,c_177]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_413,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_222,c_165,c_157,c_89,c_176]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_416,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_222,c_165,c_157,c_89,c_212]) ).

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

tcf(c_427,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_222,c_165,c_157,c_89,c_215]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_427]) ).

tcf(c_429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_222,c_165,c_157,c_89,c_173]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_429]) ).

tcf(c_431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_222,c_165,c_157,c_89,c_170]) ).

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

tcf(c_433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_222,c_165,c_157,c_89,c_169]) ).

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

tcf(c_435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_222,c_165,c_157,c_89,c_179]) ).

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

tcf(c_437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_222,c_165,c_157,c_89,c_174]) ).

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

tcf(c_441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_222,c_165,c_157,c_89,c_175]) ).

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

tcf(c_443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_222,c_165,c_157,c_89,c_171]) ).

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

tcf(c_445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_222,c_165,c_157,c_89,c_209]) ).

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

tcf(c_2580,plain,
    ( hskp16
    | ~ c3_1(a349) ),
    inference(resolution,[status(thm)],[c_227,c_156]) ).

tcf(c_2587,plain,
    ( hskp16
    | ~ c2_1(a349) ),
    inference(resolution,[status(thm)],[c_227,c_155]) ).

tcf(c_2594,plain,
    ( hskp16
    | c0_1(a349) ),
    inference(resolution,[status(thm)],[c_227,c_154]) ).

tcf(c_13048,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_446]) ).

tcf(c_13052,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_444]) ).

tcf(c_13053,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_444]) ).

tcf(c_13055,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_442]) ).

tcf(c_13056,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_442]) ).

tcf(c_13057,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_442]) ).

tcf(c_13058,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_13062,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_438]) ).

tcf(c_13065,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_436]) ).

tcf(c_13066,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_436]) ).

tcf(c_13067,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_13068,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_434]) ).

tcf(c_13069,negated_conjecture,
    ( iPr_def_24
    | iPr_def_22
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_13070,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_432]) ).

tcf(c_13071,negated_conjecture,
    ( iPr_def_25
    | iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

tcf(c_13072,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_430]) ).

tcf(c_13073,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

tcf(c_13074,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_428]) ).

tcf(c_13083,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_13084,negated_conjecture,
    ( iPr_def_23
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_13085,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_412]) ).

tcf(c_13086,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_13090,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_404]) ).

tcf(c_13093,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_399]) ).

tcf(c_13094,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

tcf(c_13095,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_397]) ).

tcf(c_13096,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_13101,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_391]) ).

tcf(c_13103,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_13117,negated_conjecture,
    ( iPr_def_14
    | hskp20
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

tcf(c_13122,negated_conjecture,
    ( iPr_def_31
    | hskp2
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_339]) ).

tcf(c_13123,negated_conjecture,
    ( iPr_def_15
    | hskp7
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_336]) ).

tcf(c_13125,negated_conjecture,
    ( iPr_def_32
    | hskp11
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_330]) ).

tcf(c_13139,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_13058]) ).

tcf(c_13151,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_13067]) ).

tcf(c_13155,negated_conjecture,
    ( iPr_def_24
    | iPr_def_22
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_13069]) ).

tcf(c_13159,negated_conjecture,
    ( iPr_def_25
    | iPr_def_13
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_13071]) ).

tcf(c_13161,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_25 ),
    inference(demodulation,[status(thm)],[c_13070]) ).

tcf(c_13163,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_13073]) ).

tcf(c_13165,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_13062]) ).

tcf(c_13166,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_13065]) ).

tcf(c_13182,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_13083]) ).

tcf(c_13183,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13074]) ).

tcf(c_13185,negated_conjecture,
    ( iPr_def_23
    | iPr_def_17
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_13084]) ).

tcf(c_13186,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13057]) ).

tcf(c_13188,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13086]) ).

tcf(c_13206,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_13094]) ).

tcf(c_13207,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_33
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13093]) ).

tcf(c_13209,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_13096]) ).

tcf(c_13210,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_34
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13095]) ).

tcf(c_13211,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_24
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13068]) ).

tcf(c_13217,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13048]) ).

tcf(c_13221,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13103]) ).

tcf(c_13222,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_37
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13101]) ).

tcf(c_13223,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_13052]) ).

tcf(c_13243,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13072]) ).

tcf(c_13248,negated_conjecture,
    ( iPr_def_14
    | hskp20
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_13117]) ).

tcf(c_13249,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_14
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13053]) ).

tcf(c_13251,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13066]) ).

tcf(c_13257,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_16
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13056]) ).

tcf(c_13259,negated_conjecture,
    ( iPr_def_31
    | hskp2
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_13122]) ).

tcf(c_13260,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_31
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13085]) ).

tcf(c_13261,negated_conjecture,
    ( iPr_def_15
    | hskp7
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_13123]) ).

tcf(c_13264,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_15
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13055]) ).

tcf(c_13265,negated_conjecture,
    ( iPr_def_32
    | hskp11
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_13125]) ).

tcf(c_13266,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_32
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13090]) ).

tcf(c_13271,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_321]) ).

tcf(c_13272,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_318]) ).

tcf(c_13367,plain,
    ( c1_1(a294)
    | c2_1(a294)
    | c0_1(a294)
    | ~ iPr_def_13 ),
    inference(instantiation,[status(thm)],[c_13223]) ).

tcf(c_13368,plain,
    ( c1_1(a294)
    | c3_1(a294)
    | c0_1(a294)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_13165]) ).

tcf(c_13369,plain,
    ( c3_1(a294)
    | c2_1(a294)
    | c0_1(a294)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_13166]) ).

tcf(c_13370,plain,
    ( c1_1(a294)
    | c3_1(a294)
    | c2_1(a294)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_13161]) ).

tcf(c_13373,plain,
    ( c2_1(a294)
    | c0_1(a294)
    | ~ iPr_def_15
    | ~ c1_1(a294) ),
    inference(instantiation,[status(thm)],[c_13264]) ).

tcf(c_13409,plain,
    ( c2_1(a308)
    | ~ iPr_def_10
    | ~ c1_1(a308)
    | ~ c3_1(a308) ),
    inference(instantiation,[status(thm)],[c_13217]) ).

tcf(c_13410,plain,
    ( c2_1(a309)
    | ~ iPr_def_10
    | ~ c1_1(a309)
    | ~ c3_1(a309) ),
    inference(instantiation,[status(thm)],[c_13217]) ).

tcf(c_13411,plain,
    ( c2_1(a310)
    | ~ iPr_def_10
    | ~ c1_1(a310)
    | ~ c3_1(a310) ),
    inference(instantiation,[status(thm)],[c_13217]) ).

tcf(c_13421,plain,
    ( c1_1(a310)
    | c2_1(a310)
    | c0_1(a310)
    | ~ iPr_def_13 ),
    inference(instantiation,[status(thm)],[c_13223]) ).

tcf(c_13427,plain,
    ( hskp21
    | c3_1(a303)
    | c2_1(a303)
    | ~ c0_1(a303) ),
    inference(instantiation,[status(thm)],[c_13272]) ).

tcf(c_13431,plain,
    ( hskp21
    | c3_1(a349)
    | c2_1(a349)
    | ~ c0_1(a349) ),
    inference(instantiation,[status(thm)],[c_13272]) ).

tcf(c_13470,plain,
    ( c3_1(a297)
    | ~ iPr_def_16
    | ~ c1_1(a297)
    | ~ c2_1(a297) ),
    inference(instantiation,[status(thm)],[c_13257]) ).

tcf(c_13502,plain,
    ( c1_1(a321)
    | c0_1(a321)
    | ~ iPr_def_31
    | ~ c3_1(a321) ),
    inference(instantiation,[status(thm)],[c_13260]) ).

tcf(c_13505,plain,
    ( c1_1(a295)
    | ~ iPr_def_14
    | ~ c2_1(a295)
    | ~ c0_1(a295) ),
    inference(instantiation,[status(thm)],[c_13249]) ).

tcf(c_13511,plain,
    ( c1_1(a321)
    | ~ iPr_def_14
    | ~ c2_1(a321)
    | ~ c0_1(a321) ),
    inference(instantiation,[status(thm)],[c_13249]) ).

tcf(c_13515,plain,
    ( c1_1(a336)
    | c0_1(a336)
    | ~ iPr_def_31
    | ~ c3_1(a336) ),
    inference(instantiation,[status(thm)],[c_13260]) ).

tcf(c_13526,plain,
    ( c3_1(a297)
    | c2_1(a297)
    | c0_1(a297)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_13166]) ).

tcf(c_13561,plain,
    ( c3_1(a297)
    | c0_1(a297)
    | ~ iPr_def_33
    | ~ c2_1(a297) ),
    inference(instantiation,[status(thm)],[c_13207]) ).

tcf(c_13566,plain,
    ( c2_1(a297)
    | c0_1(a297)
    | ~ iPr_def_15
    | ~ c1_1(a297) ),
    inference(instantiation,[status(thm)],[c_13264]) ).

tcf(c_13578,plain,
    ( ~ iPr_def_27
    | ~ c3_1(a321)
    | ~ c2_1(a321)
    | ~ c0_1(a321) ),
    inference(instantiation,[status(thm)],[c_13183]) ).

tcf(c_13605,plain,
    ( hskp21
    | c3_1(a333)
    | c2_1(a333)
    | ~ c0_1(a333) ),
    inference(instantiation,[status(thm)],[c_13272]) ).

tcf(c_13609,plain,
    ( c3_1(a333)
    | c2_1(a333)
    | c0_1(a333)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_13166]) ).

tcf(c_13625,plain,
    ( c3_1(a333)
    | c2_1(a333)
    | ~ iPr_def_34
    | ~ c0_1(a333) ),
    inference(instantiation,[status(thm)],[c_13210]) ).

tcf(c_13638,plain,
    ( c0_1(a297)
    | ~ iPr_def_24
    | ~ c1_1(a297)
    | ~ c2_1(a297) ),
    inference(instantiation,[status(thm)],[c_13211]) ).

tcf(c_13640,plain,
    ( c0_1(a308)
    | ~ iPr_def_24
    | ~ c1_1(a308)
    | ~ c2_1(a308) ),
    inference(instantiation,[status(thm)],[c_13211]) ).

tcf(c_13656,plain,
    ( c2_1(a333)
    | ~ iPr_def_37
    | ~ c1_1(a333)
    | ~ c0_1(a333) ),
    inference(instantiation,[status(thm)],[c_13222]) ).

tcf(c_13669,plain,
    ( c1_1(a300)
    | c0_1(a300)
    | ~ iPr_def_31
    | ~ c3_1(a300) ),
    inference(instantiation,[status(thm)],[c_13260]) ).

tcf(c_13699,plain,
    ( c2_1(a336)
    | c0_1(a336)
    | ~ iPr_def_32
    | ~ c3_1(a336) ),
    inference(instantiation,[status(thm)],[c_13266]) ).

tcf(c_13789,plain,
    ( c2_1(a333)
    | c0_1(a333)
    | ~ iPr_def_15
    | ~ c1_1(a333) ),
    inference(instantiation,[status(thm)],[c_13264]) ).

tcf(c_13820,plain,
    ( c3_1(a300)
    | c2_1(a300)
    | c0_1(a300)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_13166]) ).

tcf(c_13833,plain,
    ( c1_1(a321)
    | c0_1(a321)
    | ~ iPr_def_17
    | ~ c2_1(a321) ),
    inference(instantiation,[status(thm)],[c_13186]) ).

tcf(c_13853,plain,
    ( c1_1(a305)
    | c0_1(a305)
    | ~ iPr_def_17
    | ~ c2_1(a305) ),
    inference(instantiation,[status(thm)],[c_13186]) ).

tcf(c_13868,plain,
    ( c2_1(a303)
    | ~ iPr_def_10
    | ~ c1_1(a303)
    | ~ c3_1(a303) ),
    inference(instantiation,[status(thm)],[c_13217]) ).

tcf(c_14115,plain,
    ( c1_1(a321)
    | ~ iPr_def_23
    | ~ c3_1(a321)
    | ~ c2_1(a321) ),
    inference(instantiation,[status(thm)],[c_13251]) ).

tcf(c_14117,plain,
    ( c1_1(a336)
    | ~ iPr_def_23
    | ~ c3_1(a336)
    | ~ c2_1(a336) ),
    inference(instantiation,[status(thm)],[c_13251]) ).

tcf(c_14232,plain,
    ( c1_1(a336)
    | c0_1(a336)
    | ~ iPr_def_17
    | ~ c2_1(a336) ),
    inference(instantiation,[status(thm)],[c_13186]) ).

tcf(c_14266,plain,
    ( c0_1(a336)
    | ~ iPr_def_26
    | ~ c3_1(a336)
    | ~ c2_1(a336) ),
    inference(instantiation,[status(thm)],[c_13243]) ).

tcf(c_14335,plain,
    ( hskp16
    | c1_1(a336)
    | c2_1(a336)
    | ~ c3_1(a336) ),
    inference(instantiation,[status(thm)],[c_13271]) ).

tcf(c_14524,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14335,c_14266,c_14232,c_14117,c_14115,c_13868,c_13853,c_13833,c_13820,c_13789,c_13699,c_13669,c_13656,c_13640,c_13638,c_13625,c_13605,c_13609,c_13578,c_13566,c_13561,c_13526,c_13515,c_13511,c_13505,c_13502,c_13470,c_13431,c_13427,c_13421,c_13411,c_13410,c_13409,c_13373,c_13370,c_13369,c_13368,c_13367,c_13265,c_13261,c_13259,c_13248,c_13221,c_13209,c_13206,c_13188,c_13185,c_13163,c_13159,c_13155,c_13151,c_13139,c_13182,c_2594,c_2587,c_2580,c_50,c_51,c_52,c_56,c_59,c_60,c_66,c_67,c_68,c_80,c_83,c_84,c_92,c_96,c_99,c_100,c_116,c_131,c_132,c_135,c_136,c_54,c_55,c_58,c_78,c_79,c_82,c_90,c_91,c_94,c_95,c_98,c_114,c_115,c_130,c_134]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n010.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 01:12:45 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 4.19/1.30  % SZS status Started for theBenchmark.p
% 4.19/1.30  % SZS status Theorem for theBenchmark.p
% 4.19/1.30  
% 4.19/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.19/1.30  
% 4.19/1.30  % ------  iProver source info
% 4.19/1.30  
% 4.19/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 4.19/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.19/1.30  % git: non_committed_changes: false
% 4.19/1.30  
% 4.19/1.30  % ------ Parsing...
% 4.19/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.30  % 
% 4.19/1.30  
% 4.19/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.19/1.30  
% 4.19/1.30  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.30   gs_s  sp: 90 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.19/1.30  % ------ Proving...
% 4.19/1.30  % ------ Problem Properties 
% 4.19/1.30  
% 4.19/1.30  % 
% 4.19/1.30  % clauses                               180
% 4.19/1.30  % conjectures                           177
% 4.19/1.30  % EPR                                   180
% 4.19/1.30  % Horn                                  103
% 4.19/1.30  % unary                                 0
% 4.19/1.30  % binary                                89
% 4.19/1.30  % lits                                  486
% 4.19/1.30  % lits eq                               0
% 4.19/1.30  % fd_pure                               0
% 4.19/1.30  % fd_pseudo                             0
% 4.19/1.30  % fd_cond                               0
% 4.19/1.30  % fd_pseudo_cond                        0
% 4.19/1.30  % AC symbols                            0
% 4.19/1.30  
% 4.19/1.30  % ------ Schedule EPR non Horn non eq is on
% 4.19/1.30  
% 4.19/1.30  % ------ no equalities: superposition off 
% 4.19/1.30  
% 4.19/1.30  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.19/1.30  
% 4.19/1.30  
% 4.19/1.30  % ------ 
% 4.19/1.30  % Current options:
% 4.19/1.30  % ------ 
% 4.19/1.30  
% 4.19/1.30  
% 4.19/1.30  % 
% 4.19/1.30  
% 4.19/1.30  % ------ Proving...
% 4.19/1.30  % 
% 4.19/1.30  
% 4.19/1.30  % SZS status Theorem for theBenchmark.p
% 4.19/1.30  
% 4.19/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.30  
% 4.19/1.30  
%------------------------------------------------------------------------------