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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN468+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 : n026.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 03:40:22 PM UTC 2026

% Result   : Theorem 4.43s 1.29s
% Output   : CNFRefutation 4.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f209ERROR: Could not build tree for root c_17719ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp26
        | hskp21 )
      & ( hskp20
        | hskp19
        | hskp24 )
      & ( hskp2
        | hskp12
        | hskp23 )
      & ( hskp22
        | hskp16
        | hskp5 )
      & ( hskp20
        | hskp2
        | hskp13 )
      & ( hskp16
        | hskp1
        | hskp7 )
      & ( hskp12
        | hskp19
        | hskp7 )
      & ( hskp18
        | hskp13
        | hskp8 )
      & ( hskp0
        | hskp23
        | hskp3 )
      & ( hskp22
        | hskp16
        | hskp9 )
      & ( hskp24
        | hskp27
        | hskp31 )
      & ( hskp25
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp28
        | hskp18
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp28
        | hskp8
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp23
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) ) )
      & ( hskp26
        | hskp3
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | ~ c0_1(X87) ) ) )
      & ( hskp20
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp21
        | hskp25
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp13
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) ) )
      & ( hskp25
        | hskp7
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp21
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp4
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp1
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp29
        | hskp15
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp12
        | hskp9
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp21
        | hskp16
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp16
        | hskp24
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp9
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp7
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp16
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp23
        | hskp8
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp28
        | hskp15
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp2
        | hskp30
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp22
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp21
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c0_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( hskp20
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp17
        | hskp0
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp19
        | hskp18
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp3
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp17
        | hskp11
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp2
        | hskp3
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp11
        | hskp4
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp16
        | hskp13
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp7
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c1_1(X41)
              | c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp15
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp5
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp14
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp13
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp12
        | hskp11
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c0_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c3_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c3_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp10
        | hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c3_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | hskp4
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp29
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c2_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp8
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c3_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp7
        | ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | c3_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp6
        | hskp5
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp28
        | hskp4
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c0_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a367)
          & c1_1(a367)
          & c0_1(a367)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a332)
          & c1_1(a332)
          & c0_1(a332)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a301)
          & c2_1(a301)
          & c0_1(a301)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a296)
          & c2_1(a296)
          & c1_1(a296)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a368)
          & ~ c0_1(a368)
          & c1_1(a368)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a359)
          & ~ c1_1(a359)
          & ~ c0_1(a359)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a353)
          & ~ c0_1(a353)
          & c3_1(a353)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a341)
          & ~ c0_1(a341)
          & c1_1(a341)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a337)
          & c3_1(a337)
          & c1_1(a337)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a331)
          & ~ c2_1(a331)
          & ~ c1_1(a331)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a330)
          & ~ c0_1(a330)
          & c3_1(a330)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a329)
          & ~ c1_1(a329)
          & ~ c0_1(a329)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a326)
          & c3_1(a326)
          & c2_1(a326)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a325)
          & ~ c1_1(a325)
          & c0_1(a325)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a323)
          & ~ c2_1(a323)
          & ~ c0_1(a323)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a315)
          & ~ c0_1(a315)
          & c2_1(a315)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a311)
          & c1_1(a311)
          & c0_1(a311)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a309)
          & c2_1(a309)
          & c0_1(a309)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a308)
          & ~ c1_1(a308)
          & c0_1(a308)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a307)
          & ~ c1_1(a307)
          & c2_1(a307)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a306)
          & c3_1(a306)
          & c1_1(a306)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a305)
          & c2_1(a305)
          & c1_1(a305)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a304)
          & c1_1(a304)
          & c0_1(a304)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a300)
          & c3_1(a300)
          & c0_1(a300)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a299)
          & c3_1(a299)
          & c0_1(a299)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a298)
          & ~ c0_1(a298)
          & c2_1(a298)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a297)
          & c2_1(a297)
          & c1_1(a297)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a295)
          & ~ c2_1(a295)
          & c0_1(a295)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a294)
          & c2_1(a294)
          & c0_1(a294)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a293)
          & ~ c1_1(a293)
          & c3_1(a293)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a292)
          & c3_1(a292)
          & c2_1(a292)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a291)
          & ~ c2_1(a291)
          & c1_1(a291)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp26
          | hskp21 )
        & ( hskp20
          | hskp19
          | hskp24 )
        & ( hskp2
          | hskp12
          | hskp23 )
        & ( hskp22
          | hskp16
          | hskp5 )
        & ( hskp20
          | hskp2
          | hskp13 )
        & ( hskp16
          | hskp1
          | hskp7 )
        & ( hskp12
          | hskp19
          | hskp7 )
        & ( hskp18
          | hskp13
          | hskp8 )
        & ( hskp0
          | hskp23
          | hskp3 )
        & ( hskp22
          | hskp16
          | hskp9 )
        & ( hskp24
          | hskp27
          | hskp31 )
        & ( hskp25
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp28
          | hskp18
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp28
          | hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp23
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) ) )
        & ( hskp26
          | hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) ) )
        & ( hskp20
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp21
          | hskp25
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp13
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) ) )
        & ( hskp25
          | hskp7
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp21
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp4
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp1
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp29
          | hskp15
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp12
          | hskp9
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp21
          | hskp16
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp16
          | hskp24
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp9
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp7
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp16
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp23
          | hskp8
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp28
          | hskp15
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp2
          | hskp30
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp22
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp21
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( hskp20
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp17
          | hskp0
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp19
          | hskp18
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp3
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp17
          | hskp11
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp2
          | hskp3
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | hskp4
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp16
          | hskp13
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp7
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c1_1(X41)
                | c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp5
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp13
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp12
          | hskp11
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c3_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp10
          | hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | hskp4
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp29
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c2_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp8
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp7
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | c3_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp6
          | hskp5
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp28
          | hskp4
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c0_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a367)
            & c1_1(a367)
            & c0_1(a367)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a332)
            & c1_1(a332)
            & c0_1(a332)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a301)
            & c2_1(a301)
            & c0_1(a301)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a296)
            & c2_1(a296)
            & c1_1(a296)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a368)
            & ~ c0_1(a368)
            & c1_1(a368)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a353)
            & ~ c0_1(a353)
            & c3_1(a353)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a341)
            & ~ c0_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a337)
            & c3_1(a337)
            & c1_1(a337)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a331)
            & ~ c2_1(a331)
            & ~ c1_1(a331)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a329)
            & ~ c1_1(a329)
            & ~ c0_1(a329)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a326)
            & c3_1(a326)
            & c2_1(a326)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a325)
            & ~ c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c0_1(a323)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a315)
            & ~ c0_1(a315)
            & c2_1(a315)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a311)
            & c1_1(a311)
            & c0_1(a311)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a309)
            & c2_1(a309)
            & c0_1(a309)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a308)
            & ~ c1_1(a308)
            & c0_1(a308)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a307)
            & ~ c1_1(a307)
            & c2_1(a307)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a306)
            & c3_1(a306)
            & c1_1(a306)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a305)
            & c2_1(a305)
            & c1_1(a305)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a304)
            & c1_1(a304)
            & c0_1(a304)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a300)
            & c3_1(a300)
            & c0_1(a300)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a299)
            & c3_1(a299)
            & c0_1(a299)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a298)
            & ~ c0_1(a298)
            & c2_1(a298)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a297)
            & c2_1(a297)
            & c1_1(a297)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a295)
            & ~ c2_1(a295)
            & c0_1(a295)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a294)
            & c2_1(a294)
            & c0_1(a294)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a293)
            & ~ c1_1(a293)
            & c3_1(a293)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a292)
            & c3_1(a292)
            & c2_1(a292)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a291)
            & ~ c2_1(a291)
            & c1_1(a291)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp17
      | hskp26
      | hskp21 )
    & ( hskp20
      | hskp19
      | hskp24 )
    & ( hskp2
      | hskp12
      | hskp23 )
    & ( hskp22
      | hskp16
      | hskp5 )
    & ( hskp20
      | hskp2
      | hskp13 )
    & ( hskp16
      | hskp1
      | hskp7 )
    & ( hskp12
      | hskp19
      | hskp7 )
    & ( hskp18
      | hskp13
      | hskp8 )
    & ( hskp0
      | hskp23
      | hskp3 )
    & ( hskp22
      | hskp16
      | hskp9 )
    & ( hskp24
      | hskp27
      | hskp31 )
    & ( hskp25
      | hskp11
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | ~ c0_1(X91) ) ) )
    & ( hskp28
      | hskp18
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) ) )
    & ( hskp28
      | hskp8
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c1_1(X89)
            | ~ c0_1(X89) ) ) )
    & ( hskp23
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | ~ c0_1(X88) ) ) )
    & ( hskp26
      | hskp3
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | ~ c0_1(X87) ) ) )
    & ( hskp20
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) ) )
    & ( hskp21
      | hskp25
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) ) )
    & ( hskp13
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c3_1(X83) ) ) )
    & ( hskp25
      | hskp7
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp21
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | ~ c0_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) ) )
    & ( hskp4
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) ) )
    & ( hskp1
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp29
      | hskp15
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp12
      | hskp9
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp21
      | hskp16
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp16
      | hskp24
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp9
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp7
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp16
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c0_1(X67)
            | c1_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp23
      | hskp8
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp28
      | hskp15
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c3_1(X64)
            | c1_1(X64) ) ) )
    & ( hskp2
      | hskp30
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | ~ c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c1_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) ) )
    & ( hskp22
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c3_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) ) )
    & ( hskp21
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) ) )
    & ( hskp20
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) ) )
    & ( hskp17
      | hskp0
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp19
      | hskp18
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp3
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp17
      | hskp11
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp2
      | hskp3
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp4
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp11
      | hskp4
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp16
      | hskp13
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp7
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c1_1(X41)
            | c0_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp8
      | hskp15
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | c3_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp5
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp14
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c3_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c0_1(X35) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c2_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp13
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp12
      | hskp11
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c3_1(X26)
            | c0_1(X26) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c0_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp10
      | hskp9
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c2_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp6
      | hskp4
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp29
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c2_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp8
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c2_1(X11)
            | c0_1(X11) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c2_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp7
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | c3_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp6
      | hskp5
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp28
      | hskp4
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp3
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( hskp2
      | hskp1
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c0_1(X1)
            | c3_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a367)
        & c1_1(a367)
        & c0_1(a367)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a332)
        & c1_1(a332)
        & c0_1(a332)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a301)
        & c2_1(a301)
        & c0_1(a301)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a296)
        & c2_1(a296)
        & c1_1(a296)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a368)
        & ~ c0_1(a368)
        & c1_1(a368)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a353)
        & ~ c0_1(a353)
        & c3_1(a353)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a341)
        & ~ c0_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a337)
        & c3_1(a337)
        & c1_1(a337)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a331)
        & ~ c2_1(a331)
        & ~ c1_1(a331)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a329)
        & ~ c1_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a326)
        & c3_1(a326)
        & c2_1(a326)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a325)
        & ~ c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a311)
        & c1_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a309)
        & c2_1(a309)
        & c0_1(a309)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a308)
        & ~ c1_1(a308)
        & c0_1(a308)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c2_1(a307)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a306)
        & c3_1(a306)
        & c1_1(a306)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a305)
        & c2_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a300)
        & c3_1(a300)
        & c0_1(a300)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a298)
        & ~ c0_1(a298)
        & c2_1(a298)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a297)
        & c2_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a295)
        & ~ c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a294)
        & c2_1(a294)
        & c0_1(a294)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a293)
        & ~ c1_1(a293)
        & c3_1(a293)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a292)
        & c3_1(a292)
        & c2_1(a292)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a291)
        & ~ c2_1(a291)
        & c1_1(a291)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp26
      | hskp21 )
    & ( hskp20
      | hskp19
      | hskp24 )
    & ( hskp2
      | hskp12
      | hskp23 )
    & ( hskp22
      | hskp16
      | hskp5 )
    & ( hskp20
      | hskp2
      | hskp13 )
    & ( hskp16
      | hskp1
      | hskp7 )
    & ( hskp12
      | hskp19
      | hskp7 )
    & ( hskp18
      | hskp13
      | hskp8 )
    & ( hskp0
      | hskp23
      | hskp3 )
    & ( hskp22
      | hskp16
      | hskp9 )
    & ( hskp24
      | hskp27
      | hskp31 )
    & ( hskp25
      | hskp11
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp28
      | hskp18
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp28
      | hskp8
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp23
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp26
      | hskp3
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87) ) )
    & ( hskp20
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp21
      | hskp25
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp13
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) ) )
    & ( hskp25
      | hskp7
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) ) )
    & ( hskp21
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | ~ c0_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) ) )
    & ( hskp4
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) ) )
    & ( hskp1
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp29
      | hskp15
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp12
      | hskp9
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp21
      | hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) ) )
    & ( hskp16
      | hskp24
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp9
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp7
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp16
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66) ) )
    & ( hskp23
      | hskp8
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp28
      | hskp15
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c3_1(X64)
          | c1_1(X64) ) )
    & ( hskp2
      | hskp30
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | ~ c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp22
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( hskp21
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) ) )
    & ( hskp20
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) ) )
    & ( hskp17
      | hskp0
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp19
      | hskp18
      | ! [X52] :
          ( ~ ndr1_0
          | c3_1(X52)
          | c2_1(X52)
          | c1_1(X52) ) )
    & ( hskp3
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | c2_1(X50)
          | c1_1(X50) ) )
    & ( hskp17
      | hskp11
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp2
      | hskp3
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | hskp4
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43) ) )
    & ( hskp16
      | hskp13
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp7
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp15
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp5
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | c3_1(X37)
          | c0_1(X37) ) )
    & ( hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp13
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp12
      | hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c3_1(X26)
          | c0_1(X26) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c3_1(X23)
          | c0_1(X23) ) )
    & ( hskp10
      | hskp9
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c3_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | hskp4
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) ) )
    & ( hskp29
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c2_1(X13)
          | c0_1(X13) ) )
    & ( hskp8
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c2_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c2_1(X8)
          | c0_1(X8) ) )
    & ( hskp7
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c1_1(X7)
          | c3_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp6
      | hskp5
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp28
      | hskp4
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp3
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( hskp2
      | hskp1
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a367)
        & c1_1(a367)
        & c0_1(a367)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a332)
        & c1_1(a332)
        & c0_1(a332)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a301)
        & c2_1(a301)
        & c0_1(a301)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a296)
        & c2_1(a296)
        & c1_1(a296)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a368)
        & ~ c0_1(a368)
        & c1_1(a368)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a353)
        & ~ c0_1(a353)
        & c3_1(a353)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a341)
        & ~ c0_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a337)
        & c3_1(a337)
        & c1_1(a337)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a331)
        & ~ c2_1(a331)
        & ~ c1_1(a331)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a329)
        & ~ c1_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a326)
        & c3_1(a326)
        & c2_1(a326)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a325)
        & ~ c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a311)
        & c1_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a309)
        & c2_1(a309)
        & c0_1(a309)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a308)
        & ~ c1_1(a308)
        & c0_1(a308)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c2_1(a307)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a306)
        & c3_1(a306)
        & c1_1(a306)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a305)
        & c2_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a300)
        & c3_1(a300)
        & c0_1(a300)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a298)
        & ~ c0_1(a298)
        & c2_1(a298)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a297)
        & c2_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a295)
        & ~ c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a294)
        & c2_1(a294)
        & c0_1(a294)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a293)
        & ~ c1_1(a293)
        & c3_1(a293)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a292)
        & c3_1(a292)
        & c2_1(a292)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a291)
        & ~ c2_1(a291)
        & c1_1(a291)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp26
      | hskp21 )
    & ( hskp20
      | hskp19
      | hskp24 )
    & ( hskp2
      | hskp12
      | hskp23 )
    & ( hskp22
      | hskp16
      | hskp5 )
    & ( hskp20
      | hskp2
      | hskp13 )
    & ( hskp16
      | hskp1
      | hskp7 )
    & ( hskp12
      | hskp19
      | hskp7 )
    & ( hskp18
      | hskp13
      | hskp8 )
    & ( hskp0
      | hskp23
      | hskp3 )
    & ( hskp22
      | hskp16
      | hskp9 )
    & ( hskp24
      | hskp27
      | hskp31 )
    & ( hskp25
      | hskp11
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp28
      | hskp18
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp28
      | hskp8
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | ~ c0_1(X89) ) )
    & ( hskp23
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88) ) )
    & ( hskp26
      | hskp3
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87) ) )
    & ( hskp20
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp21
      | hskp25
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c2_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) ) )
    & ( hskp13
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) ) )
    & ( hskp25
      | hskp7
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) ) )
    & ( hskp21
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | ~ c0_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) ) )
    & ( hskp4
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) ) )
    & ( hskp1
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp29
      | hskp15
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp12
      | hskp9
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp21
      | hskp16
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) ) )
    & ( hskp16
      | hskp24
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp9
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp7
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp16
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66) ) )
    & ( hskp23
      | hskp8
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp28
      | hskp15
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c3_1(X64)
          | c1_1(X64) ) )
    & ( hskp2
      | hskp30
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | ~ c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( hskp22
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c3_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( hskp21
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) ) )
    & ( hskp20
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) ) )
    & ( hskp17
      | hskp0
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp19
      | hskp18
      | ! [X52] :
          ( ~ ndr1_0
          | c3_1(X52)
          | c2_1(X52)
          | c1_1(X52) ) )
    & ( hskp3
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | c2_1(X50)
          | c1_1(X50) ) )
    & ( hskp17
      | hskp11
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp2
      | hskp3
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | hskp4
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43) ) )
    & ( hskp16
      | hskp13
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp7
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp15
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp5
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | c3_1(X37)
          | c0_1(X37) ) )
    & ( hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp13
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp12
      | hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c3_1(X26)
          | c0_1(X26) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c3_1(X24)
          | c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c3_1(X23)
          | c0_1(X23) ) )
    & ( hskp10
      | hskp9
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c3_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | hskp4
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | c2_1(X15)
          | c0_1(X15) ) )
    & ( hskp29
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c2_1(X13)
          | c0_1(X13) ) )
    & ( hskp8
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c2_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c2_1(X8)
          | c0_1(X8) ) )
    & ( hskp7
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c1_1(X7)
          | c3_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp6
      | hskp5
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp28
      | hskp4
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp3
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( hskp2
      | hskp1
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a367)
        & c1_1(a367)
        & c0_1(a367)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a332)
        & c1_1(a332)
        & c0_1(a332)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a301)
        & c2_1(a301)
        & c0_1(a301)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a296)
        & c2_1(a296)
        & c1_1(a296)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a368)
        & ~ c0_1(a368)
        & c1_1(a368)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a353)
        & ~ c0_1(a353)
        & c3_1(a353)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a341)
        & ~ c0_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a337)
        & c3_1(a337)
        & c1_1(a337)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a331)
        & ~ c2_1(a331)
        & ~ c1_1(a331)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a329)
        & ~ c1_1(a329)
        & ~ c0_1(a329)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a326)
        & c3_1(a326)
        & c2_1(a326)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a325)
        & ~ c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c0_1(a323)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a315)
        & ~ c0_1(a315)
        & c2_1(a315)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a311)
        & c1_1(a311)
        & c0_1(a311)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a309)
        & c2_1(a309)
        & c0_1(a309)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a308)
        & ~ c1_1(a308)
        & c0_1(a308)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a307)
        & ~ c1_1(a307)
        & c2_1(a307)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a306)
        & c3_1(a306)
        & c1_1(a306)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a305)
        & c2_1(a305)
        & c1_1(a305)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a304)
        & c1_1(a304)
        & c0_1(a304)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a300)
        & c3_1(a300)
        & c0_1(a300)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a299)
        & c3_1(a299)
        & c0_1(a299)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a298)
        & ~ c0_1(a298)
        & c2_1(a298)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a297)
        & c2_1(a297)
        & c1_1(a297)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a295)
        & ~ c2_1(a295)
        & c0_1(a295)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a294)
        & c2_1(a294)
        & c0_1(a294)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a293)
        & ~ c1_1(a293)
        & c3_1(a293)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a292)
        & c3_1(a292)
        & c2_1(a292)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a291)
        & ~ c2_1(a291)
        & c1_1(a291)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f9,plain,
    ( hskp22
    | hskp16
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp18
    | hskp13
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp0
    | hskp23
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ( hskp24
    | hskp27
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X88] :
      ( hskp23
      | ~ ndr1_0
      | ~ c2_1(X88)
      | ~ c1_1(X88)
      | ~ c0_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X87] :
      ( hskp26
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X87)
      | ~ c1_1(X87)
      | ~ c0_1(X87) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X86] :
      ( hskp20
      | ~ ndr1_0
      | ~ c2_1(X86)
      | ~ c0_1(X86)
      | c3_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X72] :
      ( hskp16
      | hskp24
      | ~ ndr1_0
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X65] :
      ( hskp23
      | hskp8
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c3_1(X65)
      | c1_1(X65) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X53] :
      ( hskp17
      | hskp0
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X53)
      | c1_1(X53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X43] :
      ( hskp11
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c1_1(X43)
      | c0_1(X43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X39] :
      ( hskp8
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X39)
      | c3_1(X39)
      | c0_1(X39) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X4] :
      ( hskp28
      | hskp4
      | ~ ndr1_0
      | c3_1(X4)
      | c1_1(X4)
      | c0_1(X4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X3] :
      ( hskp3
      | ~ ndr1_0
      | c3_1(X3)
      | c1_1(X3)
      | c0_1(X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c2_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c3_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c2_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c1_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c2_1(a368)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ c0_1(a368)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a368)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a359)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c1_1(a359)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ c0_1(a359)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a341)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c0_1(a341)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a341)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c2_1(a337)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a337)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c1_1(a337)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a331)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c2_1(a331)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ c1_1(a331)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c2_1(a329)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c1_1(a329)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c0_1(a329)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a325)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c1_1(a325)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a325)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c3_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c2_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ c0_1(a323)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a315)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a315)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a315)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a311)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c1_1(a311)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a311)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a308)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a308)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a308)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c0_1(a306)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c3_1(a306)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c1_1(a306)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a304)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c1_1(a304)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a304)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a300)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a300)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c0_1(a300)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a299)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a299)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a299)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c0_1(a297)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c2_1(a297)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a297)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a295)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c2_1(a295)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a295)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c1_1(a294)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c2_1(a294)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a294)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a291)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c2_1(a291)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a291)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a291)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a291) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a291) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a294)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a294) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a295)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a295) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a295) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a297)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a297) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a299)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a299)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a299) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a300)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( c3_1(a300)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a300) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a304)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_87,negated_conjecture,
    ( c1_1(a304)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a304) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a306)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a306)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a306) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a308)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a308) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a308) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a311)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( c1_1(a311)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a311) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a315)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a315) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a315) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_118,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a323) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a323) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a323) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_122,negated_conjecture,
    ( c0_1(a325)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a325) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a325) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a329) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a329) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a329) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a331) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a331) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a331) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_142,negated_conjecture,
    ( c1_1(a337)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a337)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a337) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a341)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a341) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a341) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_154,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a359) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a359) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a368)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_159,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a368) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a368) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a296)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a301)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_174,negated_conjecture,
    ( c0_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_175,negated_conjecture,
    ( c1_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_176,negated_conjecture,
    ( c2_1(a367)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp8
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp8
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp16
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_234,negated_conjecture,
    ( hskp31
    | hskp27
    | hskp24 ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_236,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp0 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_237,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp8 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_241,negated_conjecture,
    ( hskp22
    | hskp16
    | hskp5 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_234,c_173,c_157,c_145]) ).

tcf(c_341,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_234,c_173,c_157,c_145,c_179]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_234,c_173,c_157,c_145,c_180]) ).

tcf(c_353,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_234,c_173,c_157,c_145,c_228]) ).

tcf(c_354,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_353]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp8
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_234,c_173,c_157,c_145,c_214]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_234,c_173,c_157,c_145,c_207]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp8
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_234,c_173,c_157,c_145,c_197]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp23
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_234,c_173,c_157,c_145,c_230]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_401,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp16
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_234,c_173,c_157,c_145,c_218]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp16
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_234,c_173,c_157,c_145,c_200]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp4
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_425,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp3
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_234,c_173,c_157,c_145,c_229]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp3
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_234,c_173,c_157,c_145,c_205,c_341]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_234,c_173,c_157,c_145,c_177]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_234,c_173,c_157,c_145,c_208]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_234,c_173,c_157,c_145,c_201]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_234,c_173,c_157,c_145,c_193]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_234,c_173,c_157,c_145,c_184]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_443,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_234,c_173,c_157,c_145,c_210]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_234,c_173,c_157,c_145,c_195]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_234,c_173,c_157,c_145,c_185]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_234,c_173,c_157,c_145,c_217]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_234,c_173,c_157,c_145,c_216]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_234,c_173,c_157,c_145,c_215]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_234,c_173,c_157,c_145,c_198]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_234,c_173,c_157,c_145,c_196]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_234,c_173,c_157,c_145,c_226]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_234,c_173,c_157,c_145,c_223]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_234,c_173,c_157,c_145,c_183]) ).

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

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_234,c_173,c_157,c_145,c_194]) ).

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

tcf(c_477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_190,c_277]) ).

tcf(c_478,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_477]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_234,c_173,c_157,c_145,c_188]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_234,c_173,c_157,c_145,c_191]) ).

tcf(c_482,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_481]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_234,c_173,c_157,c_145,c_186]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_234,c_173,c_157,c_145,c_211]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_952,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_434,c_354]) ).

tcf(c_1640,plain,
    ( hskp31
    | hskp24
    | ~ c2_1(a368) ),
    inference(resolution,[status(thm)],[c_234,c_160]) ).

tcf(c_1650,plain,
    ( hskp31
    | hskp24
    | ~ c0_1(a368) ),
    inference(resolution,[status(thm)],[c_234,c_159]) ).

tcf(c_1660,plain,
    ( hskp31
    | hskp24
    | c1_1(a368) ),
    inference(resolution,[status(thm)],[c_234,c_158]) ).

tcf(c_2822,plain,
    ( hskp13
    | hskp8
    | ~ c3_1(a325) ),
    inference(resolution,[status(thm)],[c_237,c_124]) ).

tcf(c_2832,plain,
    ( hskp13
    | hskp8
    | ~ c1_1(a325) ),
    inference(resolution,[status(thm)],[c_237,c_123]) ).

tcf(c_2842,plain,
    ( hskp13
    | hskp8
    | c0_1(a325) ),
    inference(resolution,[status(thm)],[c_237,c_122]) ).

tcf(c_2957,plain,
    ( hskp16
    | hskp5
    | ~ c3_1(a331) ),
    inference(resolution,[status(thm)],[c_241,c_140]) ).

tcf(c_2967,plain,
    ( hskp16
    | hskp5
    | ~ c2_1(a331) ),
    inference(resolution,[status(thm)],[c_241,c_139]) ).

tcf(c_2977,plain,
    ( hskp16
    | hskp5
    | ~ c1_1(a331) ),
    inference(resolution,[status(thm)],[c_241,c_138]) ).

tcf(c_3754,plain,
    ( hskp3
    | hskp0
    | ~ c2_1(a337) ),
    inference(resolution,[status(thm)],[c_236,c_144]) ).

tcf(c_3764,plain,
    ( hskp3
    | hskp0
    | c3_1(a337) ),
    inference(resolution,[status(thm)],[c_236,c_143]) ).

tcf(c_3774,plain,
    ( hskp3
    | hskp0
    | c1_1(a337) ),
    inference(resolution,[status(thm)],[c_236,c_142]) ).

tcf(c_16275,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_952]) ).

tcf(c_16277,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_486]) ).

tcf(c_16278,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_486]) ).

tcf(c_16279,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_16280,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_484]) ).

tcf(c_16281,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_484]) ).

tcf(c_16282,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_484]) ).

tcf(c_16283,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_16284,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_482]) ).

tcf(c_16285,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_482]) ).

tcf(c_16286,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_16288,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_480]) ).

tcf(c_16290,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_478]) ).

tcf(c_16291,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_16292,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_476]) ).

tcf(c_16293,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_476]) ).

tcf(c_16294,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_16295,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_474]) ).

tcf(c_16296,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_474]) ).

tcf(c_16297,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_16298,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_472]) ).

tcf(c_16299,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_472]) ).

tcf(c_16300,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_16302,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_468]) ).

tcf(c_16303,negated_conjecture,
    ( iPr_def_28
    | iPr_def_26
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_16304,negated_conjecture,
    ( iPr_def_26
    | iPr_def_21
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_16305,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_463]) ).

tcf(c_16306,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_463]) ).

tcf(c_16307,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_16309,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_458]) ).

tcf(c_16310,negated_conjecture,
    ( iPr_def_31
    | iPr_def_17
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_16311,negated_conjecture,
    ( iPr_def_31
    | iPr_def_28
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_16312,negated_conjecture,
    ( iPr_def_31
    | iPr_def_13
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_16314,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_16315,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_448]) ).

tcf(c_16318,negated_conjecture,
    ( iPr_def_32
    | iPr_def_11
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_16321,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_440]) ).

tcf(c_16322,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_16323,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_438]) ).

tcf(c_16324,negated_conjecture,
    ( iPr_def_35
    | iPr_def_21
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_16325,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_436]) ).

tcf(c_16326,negated_conjecture,
    ( iPr_def_36
    | iPr_def_29
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_16327,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_431]) ).

tcf(c_16328,negated_conjecture,
    ( iPr_def_37
    | iPr_def_35
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_16329,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_428]) ).

tcf(c_16330,negated_conjecture,
    ( iPr_def_38
    | iPr_def_36
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

tcf(c_16331,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_426]) ).

tcf(c_16332,negated_conjecture,
    ( iPr_def_39
    | hskp26
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_16338,negated_conjecture,
    ( iPr_def_30
    | hskp11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_16341,negated_conjecture,
    ( iPr_def_31
    | hskp24
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_16352,negated_conjecture,
    ( iPr_def_21
    | hskp15
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_16353,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_365]) ).

tcf(c_16354,negated_conjecture,
    ( iPr_def_42
    | hskp17
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_16357,negated_conjecture,
    ( iPr_def_20
    | hskp23
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_16359,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_43
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_347]) ).

tcf(c_16360,negated_conjecture,
    ( iPr_def_43
    | hskp28
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_16364,plain,
    ( c0_1(a291)
    | c3_1(a291)
    | c2_1(a291)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_16295]) ).

tcf(c_16369,plain,
    ( c0_1(a291)
    | c2_1(a291)
    | ~ iPr_def_16
    | ~ c1_1(a291) ),
    inference(instantiation,[status(thm)],[c_16282]) ).

tcf(c_16370,plain,
    ( c0_1(a291)
    | c3_1(a291)
    | ~ iPr_def_18
    | ~ c1_1(a291) ),
    inference(instantiation,[status(thm)],[c_16285]) ).

tcf(c_16374,plain,
    ( c3_1(a291)
    | c2_1(a291)
    | ~ iPr_def_23
    | ~ c0_1(a291) ),
    inference(instantiation,[status(thm)],[c_16293]) ).

tcf(c_16375,plain,
    ( c3_1(a291)
    | c2_1(a291)
    | ~ iPr_def_25
    | ~ c1_1(a291) ),
    inference(instantiation,[status(thm)],[c_16296]) ).

tcf(c_16386,plain,
    ( c3_1(a291)
    | ~ iPr_def_28
    | ~ c0_1(a291)
    | ~ c1_1(a291) ),
    inference(instantiation,[status(thm)],[c_16302]) ).

tcf(c_16396,plain,
    ( hskp20
    | c3_1(a294)
    | ~ c0_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_16407,plain,
    ( hskp23
    | ~ c0_1(a296)
    | ~ c2_1(a296)
    | ~ c1_1(a296) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_16409,plain,
    ( hskp23
    | ~ c0_1(a367)
    | ~ c2_1(a367)
    | ~ c1_1(a367) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_16410,plain,
    ( c1_1(a294)
    | ~ iPr_def_14
    | ~ c3_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

tcf(c_16415,plain,
    ( c1_1(a301)
    | ~ iPr_def_14
    | ~ c3_1(a301)
    | ~ c2_1(a301) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

tcf(c_16421,plain,
    ( c0_1(a296)
    | ~ iPr_def_15
    | ~ c3_1(a296)
    | ~ c2_1(a296) ),
    inference(instantiation,[status(thm)],[c_16281]) ).

tcf(c_16426,plain,
    ( c0_1(a315)
    | c3_1(a315)
    | ~ iPr_def_21
    | ~ c2_1(a315) ),
    inference(instantiation,[status(thm)],[c_16290]) ).

tcf(c_16433,plain,
    ( c2_1(a300)
    | c1_1(a300)
    | ~ iPr_def_11
    | ~ c3_1(a300) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

tcf(c_16445,plain,
    ( c0_1(a297)
    | ~ iPr_def_15
    | ~ c3_1(a297)
    | ~ c2_1(a297) ),
    inference(instantiation,[status(thm)],[c_16281]) ).

tcf(c_16455,plain,
    ( c2_1(a299)
    | ~ iPr_def_22
    | ~ c0_1(a299)
    | ~ c3_1(a299) ),
    inference(instantiation,[status(thm)],[c_16292]) ).

tcf(c_16456,plain,
    ( c2_1(a300)
    | ~ iPr_def_22
    | ~ c0_1(a300)
    | ~ c3_1(a300) ),
    inference(instantiation,[status(thm)],[c_16292]) ).

tcf(c_16459,plain,
    ( c2_1(a337)
    | ~ iPr_def_22
    | ~ c0_1(a337)
    | ~ c3_1(a337) ),
    inference(instantiation,[status(thm)],[c_16292]) ).

tcf(c_16462,plain,
    ( c0_1(a306)
    | c2_1(a306)
    | ~ iPr_def_16
    | ~ c1_1(a306) ),
    inference(instantiation,[status(thm)],[c_16282]) ).

tcf(c_16476,plain,
    ( c3_1(a295)
    | c2_1(a295)
    | ~ iPr_def_23
    | ~ c0_1(a295) ),
    inference(instantiation,[status(thm)],[c_16293]) ).

tcf(c_16480,plain,
    ( c3_1(a308)
    | c2_1(a308)
    | ~ iPr_def_23
    | ~ c0_1(a308) ),
    inference(instantiation,[status(thm)],[c_16293]) ).

tcf(c_16487,plain,
    ( c0_1(a297)
    | ~ iPr_def_30
    | ~ c2_1(a297)
    | ~ c1_1(a297) ),
    inference(instantiation,[status(thm)],[c_16306]) ).

tcf(c_16490,plain,
    ( c0_1(a315)
    | ~ iPr_def_30
    | ~ c2_1(a315)
    | ~ c1_1(a315) ),
    inference(instantiation,[status(thm)],[c_16306]) ).

tcf(c_16509,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a300)
    | ~ c3_1(a300)
    | ~ c2_1(a300) ),
    inference(instantiation,[status(thm)],[c_16298]) ).

tcf(c_16516,plain,
    ( c0_1(a306)
    | ~ iPr_def_29
    | ~ c3_1(a306)
    | ~ c1_1(a306) ),
    inference(instantiation,[status(thm)],[c_16305]) ).

tcf(c_16518,plain,
    ( c0_1(a337)
    | ~ iPr_def_29
    | ~ c3_1(a337)
    | ~ c1_1(a337) ),
    inference(instantiation,[status(thm)],[c_16305]) ).

tcf(c_16526,plain,
    ( c0_1(a331)
    | c3_1(a331)
    | c1_1(a331)
    | ~ iPr_def_43 ),
    inference(instantiation,[status(thm)],[c_16359]) ).

tcf(c_16542,plain,
    ( c2_1(a304)
    | ~ iPr_def_22
    | ~ c0_1(a304)
    | ~ c3_1(a304) ),
    inference(instantiation,[status(thm)],[c_16292]) ).

tcf(c_16547,plain,
    ( c2_1(a308)
    | ~ iPr_def_22
    | ~ c0_1(a308)
    | ~ c3_1(a308) ),
    inference(instantiation,[status(thm)],[c_16292]) ).

tcf(c_16548,plain,
    ( c2_1(a308)
    | c1_1(a308)
    | ~ iPr_def_11
    | ~ c3_1(a308) ),
    inference(instantiation,[status(thm)],[c_16275]) ).

tcf(c_16583,plain,
    ( c0_1(a315)
    | c3_1(a315)
    | c1_1(a315)
    | ~ iPr_def_43 ),
    inference(instantiation,[status(thm)],[c_16359]) ).

tcf(c_16595,plain,
    ( c3_1(a308)
    | c2_1(a308)
    | c1_1(a308)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_16325]) ).

tcf(c_16598,plain,
    ( c3_1(a331)
    | c2_1(a331)
    | c1_1(a331)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_16325]) ).

tcf(c_16610,plain,
    ( c0_1(a337)
    | c2_1(a337)
    | ~ iPr_def_16
    | ~ c1_1(a337) ),
    inference(instantiation,[status(thm)],[c_16282]) ).

tcf(c_16619,plain,
    ( c1_1(a300)
    | ~ iPr_def_14
    | ~ c3_1(a300)
    | ~ c2_1(a300) ),
    inference(instantiation,[status(thm)],[c_16280]) ).

tcf(c_16628,plain,
    ( c0_1(a306)
    | ~ iPr_def_15
    | ~ c3_1(a306)
    | ~ c2_1(a306) ),
    inference(instantiation,[status(thm)],[c_16281]) ).

tcf(c_16637,plain,
    ( c0_1(a329)
    | c2_1(a329)
    | c1_1(a329)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_16327]) ).

tcf(c_16641,plain,
    ( c2_1(a299)
    | c1_1(a299)
    | ~ iPr_def_42
    | ~ c0_1(a299) ),
    inference(instantiation,[status(thm)],[c_16353]) ).

tcf(c_16645,plain,
    ( c3_1(a294)
    | c1_1(a294)
    | ~ iPr_def_35
    | ~ c0_1(a294) ),
    inference(instantiation,[status(thm)],[c_16323]) ).

tcf(c_16646,plain,
    ( c3_1(a295)
    | c1_1(a295)
    | ~ iPr_def_35
    | ~ c0_1(a295) ),
    inference(instantiation,[status(thm)],[c_16323]) ).

tcf(c_16651,plain,
    ( c3_1(a325)
    | c1_1(a325)
    | ~ iPr_def_35
    | ~ c0_1(a325) ),
    inference(instantiation,[status(thm)],[c_16323]) ).

tcf(c_16659,plain,
    ( c2_1(a337)
    | ~ iPr_def_34
    | ~ c3_1(a337)
    | ~ c1_1(a337) ),
    inference(instantiation,[status(thm)],[c_16321]) ).

tcf(c_16672,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a294)
    | ~ c3_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_16298]) ).

tcf(c_16679,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a301)
    | ~ c3_1(a301)
    | ~ c2_1(a301) ),
    inference(instantiation,[status(thm)],[c_16298]) ).

tcf(c_16685,plain,
    ( c0_1(a315)
    | c3_1(a315)
    | ~ iPr_def_18
    | ~ c1_1(a315) ),
    inference(instantiation,[status(thm)],[c_16285]) ).

tcf(c_16693,plain,
    ( c0_1(a297)
    | c3_1(a297)
    | ~ iPr_def_18
    | ~ c1_1(a297) ),
    inference(instantiation,[status(thm)],[c_16285]) ).

tcf(c_16695,plain,
    ( c3_1(a294)
    | c1_1(a294)
    | ~ iPr_def_20
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_16288]) ).

tcf(c_16726,plain,
    ( c3_1(a331)
    | c2_1(a331)
    | ~ iPr_def_23
    | ~ c0_1(a331) ),
    inference(instantiation,[status(thm)],[c_16293]) ).

tcf(c_16734,plain,
    ( c0_1(a323)
    | c2_1(a323)
    | c1_1(a323)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_16327]) ).

tcf(c_16736,plain,
    ( c0_1(a323)
    | c3_1(a323)
    | ~ iPr_def_18
    | ~ c1_1(a323) ),
    inference(instantiation,[status(thm)],[c_16285]) ).

tcf(c_16778,plain,
    ( c3_1(a294)
    | ~ iPr_def_32
    | ~ c0_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_16315]) ).

tcf(c_16836,plain,
    ( c2_1(a299)
    | ~ iPr_def_27
    | ~ c0_1(a299)
    | ~ c1_1(a299) ),
    inference(instantiation,[status(thm)],[c_16299]) ).

tcf(c_16838,plain,
    ( c2_1(a304)
    | ~ iPr_def_27
    | ~ c0_1(a304)
    | ~ c1_1(a304) ),
    inference(instantiation,[status(thm)],[c_16299]) ).

tcf(c_16845,plain,
    ( c2_1(a337)
    | ~ iPr_def_27
    | ~ c0_1(a337)
    | ~ c1_1(a337) ),
    inference(instantiation,[status(thm)],[c_16299]) ).

tcf(c_16847,plain,
    ( c3_1(a295)
    | ~ iPr_def_28
    | ~ c0_1(a295)
    | ~ c1_1(a295) ),
    inference(instantiation,[status(thm)],[c_16302]) ).

tcf(c_16850,plain,
    ( c3_1(a304)
    | ~ iPr_def_28
    | ~ c0_1(a304)
    | ~ c1_1(a304) ),
    inference(instantiation,[status(thm)],[c_16302]) ).

tcf(c_16851,plain,
    ( c3_1(a311)
    | ~ iPr_def_28
    | ~ c0_1(a311)
    | ~ c1_1(a311) ),
    inference(instantiation,[status(thm)],[c_16302]) ).

tcf(c_16864,plain,
    ( c0_1(a296)
    | ~ iPr_def_29
    | ~ c3_1(a296)
    | ~ c1_1(a296) ),
    inference(instantiation,[status(thm)],[c_16305]) ).

tcf(c_16870,plain,
    ( c2_1(a295)
    | c1_1(a295)
    | ~ iPr_def_42
    | ~ c0_1(a295) ),
    inference(instantiation,[status(thm)],[c_16353]) ).

tcf(c_16896,plain,
    ( c1_1(a294)
    | ~ iPr_def_17
    | ~ c0_1(a294)
    | ~ c3_1(a294) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

tcf(c_16899,plain,
    ( c1_1(a300)
    | ~ iPr_def_17
    | ~ c0_1(a300)
    | ~ c3_1(a300) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

tcf(c_16904,plain,
    ( c1_1(a301)
    | ~ iPr_def_17
    | ~ c0_1(a301)
    | ~ c3_1(a301) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

tcf(c_16920,plain,
    ( c0_1(a341)
    | c2_1(a341)
    | ~ iPr_def_16
    | ~ c1_1(a341) ),
    inference(instantiation,[status(thm)],[c_16282]) ).

tcf(c_16988,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a296)
    | ~ c3_1(a296)
    | ~ c2_1(a296) ),
    inference(instantiation,[status(thm)],[c_16298]) ).

tcf(c_17102,plain,
    ( c3_1(a297)
    | ~ iPr_def_13
    | ~ c2_1(a297)
    | ~ c1_1(a297) ),
    inference(instantiation,[status(thm)],[c_16278]) ).

tcf(c_17140,plain,
    ( c3_1(a323)
    | c2_1(a323)
    | c1_1(a323)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_16325]) ).

tcf(c_17151,plain,
    ( hskp3
    | c0_1(a359)
    | c3_1(a359)
    | c1_1(a359) ),
    inference(instantiation,[status(thm)],[c_341]) ).

tcf(c_17161,plain,
    ( ~ iPr_def_39
    | ~ c0_1(a301)
    | ~ c2_1(a301)
    | ~ c1_1(a301) ),
    inference(instantiation,[status(thm)],[c_16331]) ).

tcf(c_17163,plain,
    ( ~ iPr_def_39
    | ~ c0_1(a367)
    | ~ c2_1(a367)
    | ~ c1_1(a367) ),
    inference(instantiation,[status(thm)],[c_16331]) ).

tcf(c_17370,plain,
    ( hskp3
    | c0_1(a315)
    | c3_1(a315)
    | c1_1(a315) ),
    inference(instantiation,[status(thm)],[c_341]) ).

tcf(c_17410,plain,
    ( c1_1(a301)
    | ~ iPr_def_31
    | ~ c0_1(a301)
    | ~ c2_1(a301) ),
    inference(instantiation,[status(thm)],[c_16309]) ).

tcf(c_17445,plain,
    ( c0_1(a341)
    | c3_1(a341)
    | c2_1(a341)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_16295]) ).

tcf(c_17448,plain,
    ( c0_1(a368)
    | c2_1(a368)
    | ~ iPr_def_16
    | ~ c1_1(a368) ),
    inference(instantiation,[status(thm)],[c_16282]) ).

tcf(c_17456,plain,
    ( c0_1(a341)
    | c3_1(a341)
    | ~ iPr_def_18
    | ~ c1_1(a341) ),
    inference(instantiation,[status(thm)],[c_16285]) ).

tcf(c_17466,plain,
    ( c3_1(a308)
    | c1_1(a308)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_16329]) ).

tcf(c_17469,plain,
    ( c3_1(a331)
    | c1_1(a331)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_16329]) ).

tcf(c_17500,plain,
    ( c1_1(a294)
    | ~ iPr_def_31
    | ~ c0_1(a294)
    | ~ c2_1(a294) ),
    inference(instantiation,[status(thm)],[c_16309]) ).

tcf(c_17519,plain,
    ( c1_1(a308)
    | ~ iPr_def_17
    | ~ c0_1(a308)
    | ~ c3_1(a308) ),
    inference(instantiation,[status(thm)],[c_16284]) ).

tcf(c_17526,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a296)
    | ~ c2_1(a296)
    | ~ c1_1(a296) ),
    inference(instantiation,[status(thm)],[c_16277]) ).

tcf(c_17653,plain,
    ( c0_1(a341)
    | c3_1(a341)
    | ~ iPr_def_21
    | ~ c2_1(a341) ),
    inference(instantiation,[status(thm)],[c_16290]) ).

tcf(c_17719,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17653,c_17526,c_17519,c_17500,c_17469,c_17466,c_17456,c_17448,c_17445,c_17410,c_17370,c_17163,c_17161,c_17151,c_17140,c_17102,c_16988,c_16920,c_16904,c_16899,c_16896,c_16870,c_16864,c_16851,c_16850,c_16847,c_16845,c_16838,c_16836,c_16778,c_16736,c_16734,c_16726,c_16695,c_16693,c_16685,c_16679,c_16672,c_16659,c_16651,c_16646,c_16645,c_16641,c_16637,c_16628,c_16619,c_16610,c_16598,c_16595,c_16583,c_16547,c_16548,c_16542,c_16526,c_16518,c_16516,c_16509,c_16490,c_16487,c_16480,c_16476,c_16462,c_16459,c_16456,c_16455,c_16445,c_16433,c_16426,c_16421,c_16415,c_16410,c_16409,c_16407,c_16396,c_16386,c_16375,c_16374,c_16370,c_16369,c_16364,c_16360,c_16357,c_16354,c_16352,c_16341,c_16338,c_16332,c_16330,c_16328,c_16326,c_16324,c_16322,c_16318,c_16314,c_16312,c_16311,c_16310,c_16307,c_16304,c_16303,c_16300,c_16297,c_16294,c_16291,c_16286,c_16283,c_16279,c_3774,c_3764,c_3754,c_2977,c_2967,c_2957,c_2842,c_2832,c_2822,c_1660,c_1650,c_1640,c_51,c_52,c_64,c_67,c_68,c_72,c_80,c_84,c_88,c_96,c_103,c_104,c_112,c_115,c_116,c_118,c_119,c_120,c_130,c_131,c_132,c_138,c_139,c_140,c_144,c_147,c_148,c_154,c_155,c_156,c_50,c_62,c_63,c_66,c_70,c_71,c_78,c_79,c_82,c_83,c_86,c_87,c_94,c_95,c_102,c_110,c_111,c_114,c_142,c_143,c_146,c_162,c_163,c_164,c_166,c_167,c_168,c_174,c_175,c_176]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN468+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n026.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 01:24:11 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.41  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 4.43/1.29  % SZS status Started for theBenchmark.p
% 4.43/1.29  % SZS status Theorem for theBenchmark.p
% 4.43/1.29  
% 4.43/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.43/1.29  
% 4.43/1.29  % ------  iProver source info
% 4.43/1.29  
% 4.43/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 4.43/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.43/1.29  % git: non_committed_changes: false
% 4.43/1.29  
% 4.43/1.29  % ------ Parsing...
% 4.43/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.43/1.29  % 
% 4.43/1.29  
% 4.43/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.43/1.29  
% 4.43/1.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.43/1.29   gs_s  sp: 89 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.43/1.29  % ------ Proving...
% 4.43/1.29  % ------ Problem Properties 
% 4.43/1.29  
% 4.43/1.29  % 
% 4.43/1.29  % clauses                               197
% 4.43/1.29  % conjectures                           191
% 4.43/1.29  % EPR                                   197
% 4.43/1.29  % Horn                                  111
% 4.43/1.29  % unary                                 0
% 4.43/1.29  % binary                                93
% 4.43/1.29  % lits                                  533
% 4.43/1.29  % lits eq                               0
% 4.43/1.29  % fd_pure                               0
% 4.43/1.29  % fd_pseudo                             0
% 4.43/1.29  % fd_cond                               0
% 4.43/1.29  % fd_pseudo_cond                        0
% 4.43/1.29  % AC symbols                            0
% 4.43/1.29  
% 4.43/1.29  % ------ Schedule EPR non Horn non eq is on
% 4.43/1.29  
% 4.43/1.29  % ------ no equalities: superposition off 
% 4.43/1.29  
% 4.43/1.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.43/1.29  
% 4.43/1.29  
% 4.43/1.29  % ------ 
% 4.43/1.29  % Current options:
% 4.43/1.29  % ------ 
% 4.43/1.29  
% 4.43/1.29  
% 4.43/1.29  % 
% 4.43/1.29  
% 4.43/1.29  % ------ Proving...
% 4.43/1.29  % 
% 4.43/1.29  
% 4.43/1.29  % SZS status Theorem for theBenchmark.p
% 4.43/1.29  
% 4.43/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.43/1.30  
% 4.43/1.30  
%------------------------------------------------------------------------------