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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN504+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:35 PM UTC 2026

% Result   : Theorem 5.78s 1.72s
% Output   : CNFRefutation 5.78s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f216ERROR: Could not build tree for root c_19229ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp6
        | hskp4 )
      & ( hskp4
        | hskp11
        | hskp24 )
      & ( hskp6
        | hskp18
        | hskp21 )
      & ( hskp11
        | hskp8
        | hskp25 )
      & ( hskp16
        | hskp11
        | hskp15 )
      & ( hskp4
        | hskp27
        | hskp13 )
      & ( hskp11
        | hskp1
        | hskp17 )
      & ( hskp15
        | hskp13
        | hskp29 )
      & ( hskp11
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp10
        | hskp24
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp18
        | hskp31
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c0_1(X123) ) ) )
      & ( hskp10
        | hskp29
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp30
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp20
        | hskp22
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp16
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c2_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp16
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp12
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp19
        | hskp2
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c1_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp28
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp25
        | hskp2
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp31
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp19
        | hskp24
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp23
        | hskp30
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp31
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp8
        | hskp12
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | hskp3
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp8
        | hskp29
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp16
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp19
        | hskp9
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp6
        | hskp24
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp23
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp22
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp4
        | hskp21
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp0
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp16
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp10
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp15
        | hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp17
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c0_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp20
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp19
        | hskp28
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | c3_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | c3_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp28
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp3
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp11
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp18
        | hskp2
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp17
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp16
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp4
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp5
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp14
        | hskp1
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp30
        | hskp29
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c1_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp13
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp12
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp8
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp28
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c3_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp7
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp6
        | hskp5
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | hskp3
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp2
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp0
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a410)
          & c2_1(a410)
          & c0_1(a410)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a373)
          & c1_1(a373)
          & c0_1(a373)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a372)
          & c1_1(a372)
          & c0_1(a372)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a365)
          & c2_1(a365)
          & c1_1(a365)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a446)
          & c3_1(a446)
          & c2_1(a446)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a418)
          & ~ c2_1(a418)
          & c0_1(a418)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a417)
          & ~ c1_1(a417)
          & c0_1(a417)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a399)
          & ~ c0_1(a399)
          & c1_1(a399)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a398)
          & c3_1(a398)
          & c1_1(a398)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a397)
          & c2_1(a397)
          & c1_1(a397)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a395)
          & ~ c0_1(a395)
          & c1_1(a395)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a388)
          & ~ c2_1(a388)
          & c1_1(a388)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a387)
          & ~ c1_1(a387)
          & ~ c0_1(a387)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a382)
          & ~ c0_1(a382)
          & c3_1(a382)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a380)
          & c1_1(a380)
          & c0_1(a380)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a379)
          & ~ c1_1(a379)
          & c2_1(a379)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a376)
          & ~ c1_1(a376)
          & c0_1(a376)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a375)
          & ~ c0_1(a375)
          & c3_1(a375)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a370)
          & c2_1(a370)
          & c0_1(a370)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a369)
          & c3_1(a369)
          & c0_1(a369)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a368)
          & c3_1(a368)
          & c2_1(a368)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a366)
          & ~ c2_1(a366)
          & ~ c0_1(a366)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a364)
          & ~ c0_1(a364)
          & c2_1(a364)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a363)
          & c2_1(a363)
          & c1_1(a363)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a361)
          & ~ c1_1(a361)
          & c3_1(a361)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a360)
          & ~ c2_1(a360)
          & ~ c1_1(a360)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a359)
          & ~ c1_1(a359)
          & ~ c0_1(a359)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a357)
          & c3_1(a357)
          & c1_1(a357)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a356)
          & c2_1(a356)
          & c0_1(a356)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a355)
          & c3_1(a355)
          & c0_1(a355)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a353)
          & c1_1(a353)
          & c0_1(a353)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp6
          | hskp4 )
        & ( hskp4
          | hskp11
          | hskp24 )
        & ( hskp6
          | hskp18
          | hskp21 )
        & ( hskp11
          | hskp8
          | hskp25 )
        & ( hskp16
          | hskp11
          | hskp15 )
        & ( hskp4
          | hskp27
          | hskp13 )
        & ( hskp11
          | hskp1
          | hskp17 )
        & ( hskp15
          | hskp13
          | hskp29 )
        & ( hskp11
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp10
          | hskp24
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp18
          | hskp31
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c0_1(X123) ) ) )
        & ( hskp10
          | hskp29
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp30
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp20
          | hskp22
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp16
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp16
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp12
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp19
          | hskp2
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c1_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp28
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp25
          | hskp2
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp31
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp19
          | hskp24
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp23
          | hskp30
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp31
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp8
          | hskp12
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | hskp3
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp8
          | hskp29
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp16
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp19
          | hskp9
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp6
          | hskp24
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp23
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp22
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp4
          | hskp21
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp16
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp15
          | hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp17
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c0_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp20
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp19
          | hskp28
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp28
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp3
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp11
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp18
          | hskp2
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp16
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp5
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp14
          | hskp1
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp30
          | hskp29
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp12
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp28
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp7
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp6
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | hskp3
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp2
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp0
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a410)
            & c2_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a373)
            & c1_1(a373)
            & c0_1(a373)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a372)
            & c1_1(a372)
            & c0_1(a372)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a365)
            & c2_1(a365)
            & c1_1(a365)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a446)
            & c3_1(a446)
            & c2_1(a446)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a418)
            & ~ c2_1(a418)
            & c0_1(a418)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a417)
            & ~ c1_1(a417)
            & c0_1(a417)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a399)
            & ~ c0_1(a399)
            & c1_1(a399)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a398)
            & c3_1(a398)
            & c1_1(a398)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a397)
            & c2_1(a397)
            & c1_1(a397)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a395)
            & ~ c0_1(a395)
            & c1_1(a395)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a388)
            & ~ c2_1(a388)
            & c1_1(a388)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a387)
            & ~ c1_1(a387)
            & ~ c0_1(a387)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a382)
            & ~ c0_1(a382)
            & c3_1(a382)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a380)
            & c1_1(a380)
            & c0_1(a380)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a379)
            & ~ c1_1(a379)
            & c2_1(a379)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a376)
            & ~ c1_1(a376)
            & c0_1(a376)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a375)
            & ~ c0_1(a375)
            & c3_1(a375)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a370)
            & c2_1(a370)
            & c0_1(a370)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a369)
            & c3_1(a369)
            & c0_1(a369)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a368)
            & c3_1(a368)
            & c2_1(a368)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a366)
            & ~ c2_1(a366)
            & ~ c0_1(a366)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a364)
            & ~ c0_1(a364)
            & c2_1(a364)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a363)
            & c2_1(a363)
            & c1_1(a363)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a361)
            & ~ c1_1(a361)
            & c3_1(a361)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a360)
            & ~ c2_1(a360)
            & ~ c1_1(a360)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a359)
            & ~ c1_1(a359)
            & ~ c0_1(a359)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a357)
            & c3_1(a357)
            & c1_1(a357)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a356)
            & c2_1(a356)
            & c0_1(a356)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a355)
            & c3_1(a355)
            & c0_1(a355)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a353)
            & c1_1(a353)
            & c0_1(a353)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X125] :
          ( ndr1_0
         => ( ~ c3_1(X125)
            | ~ c2_1(X125)
            | ~ c1_1(X125) ) ) )
    & ( hskp10
      | hskp24
      | ! [X124] :
          ( ndr1_0
         => ( ~ c3_1(X124)
            | ~ c2_1(X124)
            | ~ c1_1(X124) ) ) )
    & ( hskp18
      | hskp31
      | ! [X123] :
          ( ndr1_0
         => ( ~ c3_1(X123)
            | ~ c2_1(X123)
            | ~ c0_1(X123) ) ) )
    & ( hskp10
      | hskp29
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c2_1(X122)
            | ~ c0_1(X122) ) ) )
    & ( hskp22
      | hskp30
      | ! [X121] :
          ( ndr1_0
         => ( ~ c3_1(X121)
            | ~ c1_1(X121)
            | ~ c0_1(X121) ) ) )
    & ( hskp20
      | hskp22
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | ~ c1_1(X120)
            | ~ c0_1(X120) ) ) )
    & ( hskp6
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c2_1(X119)
            | ~ c1_1(X119) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c0_1(X118)
            | c3_1(X118) ) ) )
    & ( hskp16
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | ~ c0_1(X117) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c0_1(X116)
            | c3_1(X116) ) ) )
    & ( hskp16
      | hskp17
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp12
      | hskp29
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c0_1(X114)
            | c3_1(X114) ) ) )
    & ( hskp19
      | hskp2
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c1_1(X113)
            | c2_1(X113) ) ) )
    & ( hskp28
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c3_1(X111)
            | c2_1(X111) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c2_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c3_1(X108)
            | c2_1(X108) ) ) )
    & ( hskp26
      | ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp25
      | hskp2
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | c3_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp31
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | ~ c0_1(X105)
            | c3_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c3_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp19
      | hskp24
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) ) )
    & ( hskp23
      | hskp30
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | c1_1(X102) ) ) )
    & ( hskp31
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | c3_1(X101)
            | c2_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c1_1(X100) ) ) )
    & ( hskp8
      | hskp12
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | ~ c0_1(X99)
            | c1_1(X99) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c1_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp19
      | hskp3
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c3_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp8
      | hskp29
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp16
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | c3_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp19
      | hskp9
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp6
      | hskp24
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c2_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp23
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp22
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp4
      | hskp21
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp0
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp16
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | ~ c1_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp10
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp15
      | hskp2
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp17
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c1_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c0_1(X73)
            | c3_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c1_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp20
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp19
      | hskp28
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c2_1(X67)
            | ~ c1_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp28
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c0_1(X64)
            | c1_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp3
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp11
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp18
      | hskp2
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp16
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp4
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp5
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp14
      | hskp1
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp30
      | hskp29
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c2_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp4
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp13
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp12
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp11
      | hskp8
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c1_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp10
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c0_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c1_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp28
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c2_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c1_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp9
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c1_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp8
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c1_1(X27)
            | c2_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp6
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c2_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c2_1(X19)
            | c1_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp7
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp6
      | hskp5
      | ! [X15] :
          ( ndr1_0
         => ( c2_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp4
      | hskp3
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp2
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp1
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp0
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c2_1(X6)
            | c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c3_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c2_1(X125)
          | ~ c1_1(X125) ) )
    & ( hskp10
      | hskp24
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c2_1(X124)
          | ~ c1_1(X124) ) )
    & ( hskp18
      | hskp31
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c2_1(X123)
          | ~ c0_1(X123) ) )
    & ( hskp10
      | hskp29
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c2_1(X122)
          | ~ c0_1(X122) ) )
    & ( hskp22
      | hskp30
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c3_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) ) )
    & ( hskp20
      | hskp22
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c2_1(X120)
          | ~ c1_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp6
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | ~ c1_1(X119) )
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp16
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c2_1(X117)
          | ~ c0_1(X117) )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c0_1(X116)
          | c3_1(X116) ) )
    & ( hskp16
      | hskp17
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp12
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp19
      | hskp2
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113) ) )
    & ( hskp28
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | c3_1(X111)
          | c2_1(X111) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108) ) )
    & ( hskp26
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( hskp25
      | hskp2
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp31
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp19
      | hskp24
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103) ) )
    & ( hskp23
      | hskp30
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | c1_1(X102) ) )
    & ( hskp31
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100) ) )
    & ( hskp8
      | hskp12
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | hskp3
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( hskp8
      | hskp29
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91) ) )
    & ( hskp16
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | c3_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp19
      | hskp9
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp6
      | hskp24
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp23
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | c2_1(X85)
          | c1_1(X85) ) )
    & ( hskp22
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c2_1(X83)
          | c1_1(X83) ) )
    & ( hskp4
      | hskp21
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82) ) )
    & ( hskp0
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81) ) )
    & ( hskp16
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c1_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c0_1(X79) ) )
    & ( hskp10
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) ) )
    & ( hskp15
      | hskp2
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | c0_1(X76) ) )
    & ( hskp17
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74) ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71) ) )
    & ( hskp20
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69) ) )
    & ( hskp19
      | hskp28
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65) ) )
    & ( hskp28
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c0_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63) ) )
    & ( hskp3
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61) ) )
    & ( hskp11
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59) ) )
    & ( hskp18
      | hskp2
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp17
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp16
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55) ) )
    & ( hskp4
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp5
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp14
      | hskp1
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp30
      | hskp29
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | c2_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp13
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp12
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c3_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp8
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c1_1(X32)
          | c0_1(X32) ) )
    & ( hskp28
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp8
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c2_1(X19)
          | c1_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp7
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp6
      | hskp5
      | ! [X15] :
          ( ~ ndr1_0
          | c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp4
      | hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp2
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp1
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp0
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp6
      | hskp4 )
    & ( hskp4
      | hskp11
      | hskp24 )
    & ( hskp6
      | hskp18
      | hskp21 )
    & ( hskp11
      | hskp8
      | hskp25 )
    & ( hskp16
      | hskp11
      | hskp15 )
    & ( hskp4
      | hskp27
      | hskp13 )
    & ( hskp11
      | hskp1
      | hskp17 )
    & ( hskp15
      | hskp13
      | hskp29 )
    & ( hskp11
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c3_1(X125)
          | ~ c2_1(X125)
          | ~ c1_1(X125) ) )
    & ( hskp10
      | hskp24
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c3_1(X124)
          | ~ c2_1(X124)
          | ~ c1_1(X124) ) )
    & ( hskp18
      | hskp31
      | ! [X123] :
          ( ~ ndr1_0
          | ~ c3_1(X123)
          | ~ c2_1(X123)
          | ~ c0_1(X123) ) )
    & ( hskp10
      | hskp29
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c2_1(X122)
          | ~ c0_1(X122) ) )
    & ( hskp22
      | hskp30
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c3_1(X121)
          | ~ c1_1(X121)
          | ~ c0_1(X121) ) )
    & ( hskp20
      | hskp22
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c2_1(X120)
          | ~ c1_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp6
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | ~ c1_1(X119) )
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp16
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c2_1(X117)
          | ~ c0_1(X117) )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c0_1(X116)
          | c3_1(X116) ) )
    & ( hskp16
      | hskp17
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp12
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp19
      | hskp2
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c1_1(X113)
          | c2_1(X113) ) )
    & ( hskp28
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | c3_1(X111)
          | c2_1(X111) ) )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | c3_1(X108)
          | c2_1(X108) ) )
    & ( hskp26
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( hskp25
      | hskp2
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp31
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c2_1(X105)
          | ~ c0_1(X105)
          | c3_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp19
      | hskp24
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103) ) )
    & ( hskp23
      | hskp30
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | c1_1(X102) ) )
    & ( hskp31
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c0_1(X101)
          | c3_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100) ) )
    & ( hskp8
      | hskp12
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | hskp3
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( hskp8
      | hskp29
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c1_1(X91) ) )
    & ( hskp16
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | c3_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp19
      | hskp9
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp6
      | hskp24
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp23
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | c2_1(X85)
          | c1_1(X85) ) )
    & ( hskp22
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c1_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c2_1(X83)
          | c1_1(X83) ) )
    & ( hskp4
      | hskp21
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c0_1(X82) ) )
    & ( hskp0
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c2_1(X81)
          | c0_1(X81) ) )
    & ( hskp16
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c1_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c0_1(X79) ) )
    & ( hskp10
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | c0_1(X77) ) )
    & ( hskp15
      | hskp2
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | c0_1(X76) ) )
    & ( hskp17
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74) ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | c3_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | c2_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c1_1(X71)
          | c0_1(X71) ) )
    & ( hskp20
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69) ) )
    & ( hskp19
      | hskp28
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65) ) )
    & ( hskp28
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c0_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63) ) )
    & ( hskp3
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61) ) )
    & ( hskp11
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59) ) )
    & ( hskp18
      | hskp2
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp17
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp16
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55) ) )
    & ( hskp4
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | ~ c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp5
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp14
      | hskp1
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp30
      | hskp29
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c1_1(X43)
          | c2_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp13
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp12
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c3_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp8
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c0_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c1_1(X32)
          | c0_1(X32) ) )
    & ( hskp28
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c2_1(X31)
          | ~ c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( hskp9
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp8
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c1_1(X27)
          | c2_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c2_1(X19)
          | c1_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp7
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp6
      | hskp5
      | ! [X15] :
          ( ~ ndr1_0
          | c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp4
      | hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp2
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp1
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp0
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a410)
        & c2_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a373)
        & c1_1(a373)
        & c0_1(a373)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a372)
        & c1_1(a372)
        & c0_1(a372)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a365)
        & c2_1(a365)
        & c1_1(a365)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a446)
        & c3_1(a446)
        & c2_1(a446)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a418)
        & ~ c2_1(a418)
        & c0_1(a418)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a417)
        & ~ c1_1(a417)
        & c0_1(a417)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a399)
        & ~ c0_1(a399)
        & c1_1(a399)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a398)
        & c3_1(a398)
        & c1_1(a398)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a397)
        & c2_1(a397)
        & c1_1(a397)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a395)
        & ~ c0_1(a395)
        & c1_1(a395)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a388)
        & ~ c2_1(a388)
        & c1_1(a388)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a387)
        & ~ c1_1(a387)
        & ~ c0_1(a387)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a382)
        & ~ c0_1(a382)
        & c3_1(a382)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a380)
        & c1_1(a380)
        & c0_1(a380)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a379)
        & ~ c1_1(a379)
        & c2_1(a379)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a376)
        & ~ c1_1(a376)
        & c0_1(a376)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a375)
        & ~ c0_1(a375)
        & c3_1(a375)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a370)
        & c2_1(a370)
        & c0_1(a370)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a369)
        & c3_1(a369)
        & c0_1(a369)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a368)
        & c3_1(a368)
        & c2_1(a368)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a366)
        & ~ c2_1(a366)
        & ~ c0_1(a366)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a364)
        & ~ c0_1(a364)
        & c2_1(a364)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a363)
        & c2_1(a363)
        & c1_1(a363)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a361)
        & ~ c1_1(a361)
        & c3_1(a361)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a360)
        & ~ c2_1(a360)
        & ~ c1_1(a360)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a359)
        & ~ c1_1(a359)
        & ~ c0_1(a359)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a357)
        & c3_1(a357)
        & c1_1(a357)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a356)
        & c2_1(a356)
        & c0_1(a356)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a355)
        & c3_1(a355)
        & c0_1(a355)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a353)
        & c1_1(a353)
        & c0_1(a353)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp4
    | hskp11
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp6
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp15
    | hskp13
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X124] :
      ( hskp10
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X124)
      | ~ c2_1(X124)
      | ~ c1_1(X124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X122] :
      ( hskp10
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X122)
      | ~ c2_1(X122)
      | ~ c0_1(X122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X113] :
      ( hskp19
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X113)
      | ~ c1_1(X113)
      | c2_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X107] :
      ( hskp26
      | ~ ndr1_0
      | ~ c0_1(X107)
      | c3_1(X107)
      | c2_1(X107) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X103] :
      ( hskp19
      | hskp24
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c2_1(X103)
      | c1_1(X103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X92] :
      ( hskp19
      | hskp3
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c3_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X82] :
      ( hskp4
      | hskp21
      | ~ ndr1_0
      | ~ c3_1(X82)
      | ~ c2_1(X82)
      | c0_1(X82) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X68] :
      ( hskp19
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X57] :
      ( hskp17
      | ~ ndr1_0
      | ~ c3_1(X57)
      | c2_1(X57)
      | c0_1(X57) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X15] :
      ( hskp6
      | hskp5
      | ~ ndr1_0
      | c2_1(X15)
      | c1_1(X15)
      | c0_1(X15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X14] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | c2_1(X14)
      | c1_1(X14)
      | c0_1(X14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c2_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( c3_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c2_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c1_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c2_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c1_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c3_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c2_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c1_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c1_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ c0_1(a387)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c0_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c3_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c1_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c2_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c2_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c2_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ c0_1(a366)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c2_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c1_1(a360)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c3_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c1_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ c0_1(a359)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c2_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c0_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c3_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c1_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( c2_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c0_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c1_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( c3_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( c0_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ c2_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( c1_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( c0_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_51,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a353) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_55,negated_conjecture,
    ( c3_1(a355)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a355) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_59,negated_conjecture,
    ( c2_1(a356)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a356) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a357)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a357) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_66,negated_conjecture,
    ( c2_1(a358)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a358) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_70,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a359) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a359) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_74,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a360) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a360) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a360) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_90,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a366) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a366) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a366) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_95,negated_conjecture,
    ( c3_1(a368)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a368) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a369)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a369) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_101,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a370)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a370) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_109,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a379)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a379) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a379) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_119,negated_conjecture,
    ( c1_1(a380)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a380) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_122,negated_conjecture,
    ( c3_1(a382)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a382) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a382) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_126,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a387) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a387) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a387) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a388)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a388) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a388) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_134,negated_conjecture,
    ( c1_1(a395)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a395) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a395) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a399)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a399) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a399) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a418)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a418) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a418) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a365)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_168,negated_conjecture,
    ( c2_1(a372)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_174,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_175,negated_conjecture,
    ( c2_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_176,negated_conjecture,
    ( c3_1(a410)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp3
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp2
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_245,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_247,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_249,negated_conjecture,
    ( hskp29
    | hskp15
    | hskp13 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_254,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp6 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_255,negated_conjecture,
    ( hskp24
    | hskp11
    | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_256,negated_conjecture,
    ( hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_257,plain,
    ( hskp26
    | c3_1(a353)
    | c2_1(a353)
    | ~ ndr1_0
    | ~ c0_1(a353) ),
    inference(instantiation,[status(thm)],[c_235]) ).

tcf(c_293,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_249,c_165,c_109,c_101]) ).

tcf(c_357,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_249,c_165,c_109,c_101,c_235]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_249,c_165,c_109,c_101,c_205]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_249,c_165,c_109,c_101,c_184]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_249,c_165,c_109,c_101,c_183]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp3
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_249,c_165,c_109,c_101,c_226]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_249,c_165,c_109,c_101,c_211]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp2
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_249,c_165,c_109,c_101,c_238]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp2
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_411]) ).

tcf(c_414,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_249,c_165,c_109,c_101,c_232]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp19
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_423,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp4
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_249,c_165,c_109,c_101,c_219]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_429,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_249,c_165,c_109,c_101,c_247]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_429]) ).

tcf(c_435,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_249,c_165,c_109,c_101,c_245]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_249,c_165,c_109,c_101,c_194]) ).

tcf(c_449,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_249,c_165,c_109,c_101,c_181]) ).

tcf(c_454,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_249,c_165,c_109,c_101,c_212]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_454]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_249,c_165,c_109,c_101,c_196]) ).

tcf(c_461,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_460]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_249,c_165,c_109,c_101,c_192]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_249,c_165,c_109,c_101,c_180]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_249,c_165,c_109,c_101,c_230]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_249,c_165,c_109,c_101,c_224]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_249,c_165,c_109,c_101,c_221]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_249,c_165,c_109,c_101,c_216]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_249,c_165,c_109,c_101,c_209]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_484,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_249,c_165,c_109,c_101,c_195]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_249,c_165,c_109,c_101,c_188]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_500,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_249,c_165,c_109,c_101,c_203]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_500]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_249,c_165,c_109,c_101,c_214]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_515,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_249,c_165,c_109,c_101,c_177]) ).

tcf(c_519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_249,c_165,c_109,c_101,c_186]) ).

tcf(c_520,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_519]) ).

tcf(c_521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_179,c_293]) ).

tcf(c_522,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_521]) ).

tcf(c_523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_249,c_165,c_109,c_101,c_236]) ).

tcf(c_524,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_523]) ).

tcf(c_525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_249,c_165,c_109,c_101,c_227]) ).

tcf(c_526,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_525]) ).

tcf(c_527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_249,c_165,c_109,c_101,c_213]) ).

tcf(c_528,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_527]) ).

tcf(c_529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_249,c_165,c_109,c_101,c_197]) ).

tcf(c_530,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_529]) ).

tcf(c_531,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_249,c_165,c_109,c_101,c_210]) ).

tcf(c_532,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_531]) ).

tcf(c_533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_249,c_165,c_109,c_101,c_228]) ).

tcf(c_534,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c1_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_533]) ).

tcf(c_535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_249,c_165,c_109,c_101,c_202]) ).

tcf(c_536,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_535]) ).

tcf(c_3054,plain,
    ( hskp21
    | hskp6
    | ~ c2_1(a382) ),
    inference(resolution,[status(thm)],[c_254,c_124]) ).

tcf(c_3064,plain,
    ( hskp21
    | hskp6
    | ~ c0_1(a382) ),
    inference(resolution,[status(thm)],[c_254,c_123]) ).

tcf(c_3074,plain,
    ( hskp21
    | hskp6
    | c3_1(a382) ),
    inference(resolution,[status(thm)],[c_254,c_122]) ).

tcf(c_7308,plain,
    ! [X0: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ c1_1(a356)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_412,c_60]) ).

tcf(c_7309,plain,
    ( hskp19
    | c2_1(a353)
    | ~ c3_1(a353)
    | ~ c1_1(a356)
    | ~ c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_7308]) ).

tcf(c_7325,plain,
    ! [X0: $i] :
      ( hskp19
      | c2_1(a356)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_412,c_59]) ).

tcf(c_7326,plain,
    ( hskp19
    | c2_1(a356)
    | c2_1(a353)
    | ~ c3_1(a353)
    | ~ c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_7325]) ).

tcf(c_7342,plain,
    ! [X0: $i] :
      ( hskp19
      | c0_1(a356)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_412,c_58]) ).

tcf(c_7343,plain,
    ( hskp19
    | c2_1(a353)
    | c0_1(a356)
    | ~ c3_1(a353)
    | ~ c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_7342]) ).

tcf(c_7701,plain,
    ( hskp24
    | hskp4
    | ~ c1_1(a368) ),
    inference(resolution,[status(thm)],[c_255,c_96]) ).

tcf(c_7711,plain,
    ( hskp24
    | hskp4
    | c3_1(a368) ),
    inference(resolution,[status(thm)],[c_255,c_95]) ).

tcf(c_7721,plain,
    ( hskp24
    | hskp4
    | c2_1(a368) ),
    inference(resolution,[status(thm)],[c_255,c_94]) ).

tcf(c_8499,plain,
    ( hskp4
    | ~ c3_1(a360) ),
    inference(resolution,[status(thm)],[c_256,c_76]) ).

tcf(c_8506,plain,
    ( hskp4
    | ~ c2_1(a360) ),
    inference(resolution,[status(thm)],[c_256,c_75]) ).

tcf(c_8513,plain,
    ( hskp4
    | ~ c1_1(a360) ),
    inference(resolution,[status(thm)],[c_256,c_74]) ).

tcf(c_17500,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_536]) ).

tcf(c_17501,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_536]) ).

tcf(c_17504,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_534]) ).

tcf(c_17505,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_534]) ).

tcf(c_17506,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).

tcf(c_17507,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_532]) ).

tcf(c_17508,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_532]) ).

tcf(c_17509,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_532]) ).

tcf(c_17510,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).

tcf(c_17511,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_530]) ).

tcf(c_17512,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_530]) ).

tcf(c_17513,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_530]) ).

tcf(c_17514,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).

tcf(c_17515,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_528]) ).

tcf(c_17516,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_528]) ).

tcf(c_17517,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).

tcf(c_17518,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_526]) ).

tcf(c_17519,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_526]) ).

tcf(c_17520,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).

tcf(c_17521,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_524]) ).

tcf(c_17524,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_522]) ).

tcf(c_17525,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_522]) ).

tcf(c_17526,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_522]) ).

tcf(c_17527,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

tcf(c_17528,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_520]) ).

tcf(c_17529,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_520]) ).

tcf(c_17533,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_515]) ).

tcf(c_17534,negated_conjecture,
    ( iPr_def_33
    | iPr_def_30
    | iPr_def_27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

tcf(c_17535,negated_conjecture,
    ( iPr_def_21
    | iPr_def_15
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

tcf(c_17540,negated_conjecture,
    ( iPr_def_13
    | iPr_def_11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_17546,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_489]) ).

tcf(c_17549,negated_conjecture,
    ( iPr_def_28
    | iPr_def_15
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

tcf(c_17552,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_479]) ).

tcf(c_17555,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_17556,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_474]) ).

tcf(c_17558,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_472]) ).

tcf(c_17559,negated_conjecture,
    ( iPr_def_39
    | iPr_def_24
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_17560,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_470]) ).

tcf(c_17561,negated_conjecture,
    ( iPr_def_40
    | iPr_def_38
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

tcf(c_17563,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_17564,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_464]) ).

tcf(c_17565,negated_conjecture,
    ( iPr_def_41
    | iPr_def_16
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_17566,negated_conjecture,
    ( iPr_def_36
    | iPr_def_20
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

tcf(c_17569,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_455]) ).

tcf(c_17571,negated_conjecture,
    ( iPr_def_40
    | iPr_def_27
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

tcf(c_17573,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_17576,negated_conjecture,
    ( iPr_def_13
    | hskp29
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_17578,negated_conjecture,
    ( iPr_def_15
    | hskp24
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

tcf(c_17580,negated_conjecture,
    ( iPr_def_35
    | hskp21
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_17583,negated_conjecture,
    ( iPr_def_23
    | hskp24
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_17592,negated_conjecture,
    ( iPr_def_16
    | hskp28
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_17596,negated_conjecture,
    ( iPr_def_39
    | hskp19
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_17598,negated_conjecture,
    ( iPr_def_27
    | hskp4
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_17599,negated_conjecture,
    ( iPr_def_27
    | hskp6
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

tcf(c_17607,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_17506]) ).

tcf(c_17611,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_17510]) ).

tcf(c_17615,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_17514]) ).

tcf(c_17619,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_17517]) ).

tcf(c_17623,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_17520]) ).

tcf(c_17625,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_14
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17505]) ).

tcf(c_17631,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_17527]) ).

tcf(c_17632,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_29
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17526]) ).

tcf(c_17643,negated_conjecture,
    ( iPr_def_33
    | iPr_def_30
    | iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_17534]) ).

tcf(c_17647,negated_conjecture,
    ( iPr_def_21
    | iPr_def_15
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_17535]) ).

tcf(c_17662,negated_conjecture,
    ( iPr_def_13
    | iPr_def_11
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17540]) ).

tcf(c_17682,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_33
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17533]) ).

tcf(c_17683,negated_conjecture,
    ( iPr_def_28
    | iPr_def_15
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_17549]) ).

tcf(c_17695,negated_conjecture,
    ( iPr_def_35
    | iPr_def_25
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17555]) ).

tcf(c_17701,negated_conjecture,
    ( iPr_def_39
    | iPr_def_24
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_17559]) ).

tcf(c_17703,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_24
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17519]) ).

tcf(c_17704,negated_conjecture,
    ( iPr_def_40
    | iPr_def_38
    | hskp31 ),
    inference(demodulation,[status(thm)],[c_17561]) ).

tcf(c_17705,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_38
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17556]) ).

tcf(c_17709,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17509]) ).

tcf(c_17710,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_17563]) ).

tcf(c_17711,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17511]) ).

tcf(c_17713,negated_conjecture,
    ( iPr_def_41
    | iPr_def_16
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17565]) ).

tcf(c_17716,negated_conjecture,
    ( iPr_def_36
    | iPr_def_20
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17566]) ).

tcf(c_17724,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_36
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17552]) ).

tcf(c_17725,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_17569]) ).

tcf(c_17727,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_31 ),
    inference(demodulation,[status(thm)],[c_17529]) ).

tcf(c_17731,negated_conjecture,
    ( iPr_def_40
    | iPr_def_27
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_17571]) ).

tcf(c_17736,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30 ),
    inference(demodulation,[status(thm)],[c_17528]) ).

tcf(c_17737,negated_conjecture,
    ( iPr_def_28
    | iPr_def_25
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_17573]) ).

tcf(c_17738,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_25
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17521]) ).

tcf(c_17739,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_28 ),
    inference(demodulation,[status(thm)],[c_17525]) ).

tcf(c_17743,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17500]) ).

tcf(c_17744,negated_conjecture,
    ( iPr_def_13
    | hskp29
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17576]) ).

tcf(c_17747,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17504]) ).

tcf(c_17748,negated_conjecture,
    ( iPr_def_15
    | hskp24
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17578]) ).

tcf(c_17749,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17507]) ).

tcf(c_17751,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_21
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17515]) ).

tcf(c_17752,negated_conjecture,
    ( iPr_def_35
    | hskp21
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17580]) ).

tcf(c_17753,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17546]) ).

tcf(c_17758,negated_conjecture,
    ( iPr_def_23
    | hskp24
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_17583]) ).

tcf(c_17759,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17518]) ).

tcf(c_17761,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17512]) ).

tcf(c_17768,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_41
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17564]) ).

tcf(c_17772,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_20
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17513]) ).

tcf(c_17774,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17501]) ).

tcf(c_17775,negated_conjecture,
    ( iPr_def_16
    | hskp28
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_17592]) ).

tcf(c_17776,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17508]) ).

tcf(c_17781,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17516]) ).

tcf(c_17784,negated_conjecture,
    ( iPr_def_39
    | hskp19
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_17596]) ).

tcf(c_17785,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_39
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17558]) ).

tcf(c_17787,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_40
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17560]) ).

tcf(c_17788,negated_conjecture,
    ( iPr_def_27
    | hskp4
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_17598]) ).

tcf(c_17790,negated_conjecture,
    ( iPr_def_27
    | hskp6
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_17599]) ).

tcf(c_17791,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_27 ),
    inference(demodulation,[status(thm)],[c_17524]) ).

tcf(c_17792,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_360]) ).

tcf(c_17793,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_357]) ).

tcf(c_17904,plain,
    ( c3_1(a353)
    | c2_1(a353)
    | ~ iPr_def_25
    | ~ c1_1(a353) ),
    inference(instantiation,[status(thm)],[c_17738]) ).

tcf(c_17918,plain,
    ( c2_1(a353)
    | ~ iPr_def_29
    | ~ c3_1(a353)
    | ~ c0_1(a353) ),
    inference(instantiation,[status(thm)],[c_17632]) ).

tcf(c_17930,plain,
    ( c3_1(a379)
    | c1_1(a379)
    | ~ iPr_def_14
    | ~ c2_1(a379) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_17935,plain,
    ( c1_1(a355)
    | ~ iPr_def_38
    | ~ c3_1(a355)
    | ~ c0_1(a355) ),
    inference(instantiation,[status(thm)],[c_17705]) ).

tcf(c_17941,plain,
    ( c3_1(a356)
    | ~ iPr_def_17
    | ~ c2_1(a356)
    | ~ c0_1(a356) ),
    inference(instantiation,[status(thm)],[c_17709]) ).

tcf(c_17948,plain,
    ( c3_1(a372)
    | ~ iPr_def_17
    | ~ c2_1(a372)
    | ~ c0_1(a372) ),
    inference(instantiation,[status(thm)],[c_17709]) ).

tcf(c_17950,plain,
    ( c3_1(a358)
    | c1_1(a358)
    | c0_1(a358)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17736]) ).

tcf(c_17957,plain,
    ( c3_1(a359)
    | c2_1(a359)
    | c0_1(a359)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_17959,plain,
    ( c3_1(a366)
    | c2_1(a366)
    | c0_1(a366)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_17960,plain,
    ( c3_1(a387)
    | c2_1(a387)
    | c0_1(a387)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_17977,plain,
    ( c3_1(a360)
    | c1_1(a360)
    | ~ iPr_def_39
    | ~ c0_1(a360) ),
    inference(instantiation,[status(thm)],[c_17785]) ).

tcf(c_17993,plain,
    ( c1_1(a356)
    | ~ iPr_def_23
    | ~ c3_1(a356)
    | ~ c2_1(a356) ),
    inference(instantiation,[status(thm)],[c_17759]) ).

tcf(c_17996,plain,
    ( c1_1(a368)
    | ~ iPr_def_23
    | ~ c3_1(a368)
    | ~ c2_1(a368) ),
    inference(instantiation,[status(thm)],[c_17759]) ).

tcf(c_18006,plain,
    ( c1_1(a358)
    | c0_1(a358)
    | ~ iPr_def_33
    | ~ c2_1(a358) ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_18036,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a365)
    | ~ c2_1(a365)
    | ~ c1_1(a365) ),
    inference(instantiation,[status(thm)],[c_17749]) ).

tcf(c_18042,plain,
    ( c2_1(a369)
    | ~ iPr_def_29
    | ~ c3_1(a369)
    | ~ c0_1(a369) ),
    inference(instantiation,[status(thm)],[c_17632]) ).

tcf(c_18090,plain,
    ( c3_1(a358)
    | ~ iPr_def_24
    | ~ c2_1(a358)
    | ~ c1_1(a358) ),
    inference(instantiation,[status(thm)],[c_17703]) ).

tcf(c_18112,plain,
    ( ~ iPr_def_13
    | ~ c3_1(a410)
    | ~ c2_1(a410)
    | ~ c0_1(a410) ),
    inference(instantiation,[status(thm)],[c_17747]) ).

tcf(c_18113,plain,
    ( c3_1(a380)
    | c2_1(a380)
    | ~ iPr_def_25
    | ~ c1_1(a380) ),
    inference(instantiation,[status(thm)],[c_17738]) ).

tcf(c_18114,plain,
    ( c3_1(a388)
    | c2_1(a388)
    | ~ iPr_def_25
    | ~ c1_1(a388) ),
    inference(instantiation,[status(thm)],[c_17738]) ).

tcf(c_18128,plain,
    ( c0_1(a358)
    | ~ iPr_def_18
    | ~ c2_1(a358)
    | ~ c1_1(a358) ),
    inference(instantiation,[status(thm)],[c_17711]) ).

tcf(c_18161,plain,
    ( c0_1(a357)
    | ~ iPr_def_21
    | ~ c3_1(a357)
    | ~ c1_1(a357) ),
    inference(instantiation,[status(thm)],[c_17751]) ).

tcf(c_18168,plain,
    ( c2_1(a357)
    | ~ iPr_def_19
    | ~ c3_1(a357)
    | ~ c1_1(a357) ),
    inference(instantiation,[status(thm)],[c_17761]) ).

tcf(c_18173,plain,
    ( c0_1(a399)
    | ~ iPr_def_18
    | ~ c2_1(a399)
    | ~ c1_1(a399) ),
    inference(instantiation,[status(thm)],[c_17711]) ).

tcf(c_18189,plain,
    ( c3_1(a399)
    | c0_1(a399)
    | ~ iPr_def_36
    | ~ c1_1(a399) ),
    inference(instantiation,[status(thm)],[c_17724]) ).

tcf(c_18205,plain,
    ( c3_1(a370)
    | ~ iPr_def_17
    | ~ c2_1(a370)
    | ~ c0_1(a370) ),
    inference(instantiation,[status(thm)],[c_17709]) ).

tcf(c_18209,plain,
    ( c2_1(a357)
    | c0_1(a357)
    | ~ iPr_def_20
    | ~ c1_1(a357) ),
    inference(instantiation,[status(thm)],[c_17772]) ).

tcf(c_18214,plain,
    ( c2_1(a399)
    | c0_1(a399)
    | ~ iPr_def_20
    | ~ c1_1(a399) ),
    inference(instantiation,[status(thm)],[c_17772]) ).

tcf(c_18216,plain,
    ( c2_1(a357)
    | c0_1(a357)
    | ~ iPr_def_11
    | ~ c3_1(a357) ),
    inference(instantiation,[status(thm)],[c_17774]) ).

tcf(c_18220,plain,
    ( c3_1(a380)
    | c2_1(a380)
    | ~ iPr_def_40
    | ~ c0_1(a380) ),
    inference(instantiation,[status(thm)],[c_17787]) ).

tcf(c_18222,plain,
    ( c3_1(a418)
    | c2_1(a418)
    | ~ iPr_def_40
    | ~ c0_1(a418) ),
    inference(instantiation,[status(thm)],[c_17787]) ).

tcf(c_18243,plain,
    ( c3_1(a380)
    | ~ iPr_def_17
    | ~ c2_1(a380)
    | ~ c0_1(a380) ),
    inference(instantiation,[status(thm)],[c_17709]) ).

tcf(c_18276,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a372)
    | ~ c1_1(a372)
    | ~ c0_1(a372) ),
    inference(instantiation,[status(thm)],[c_17743]) ).

tcf(c_18318,plain,
    ( c2_1(a360)
    | c1_1(a360)
    | c0_1(a360)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17791]) ).

tcf(c_18323,plain,
    ( c2_1(a387)
    | c1_1(a387)
    | c0_1(a387)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17791]) ).

tcf(c_18389,plain,
    ( c2_1(a382)
    | c0_1(a382)
    | ~ iPr_def_20
    | ~ c1_1(a382) ),
    inference(instantiation,[status(thm)],[c_17772]) ).

tcf(c_18404,plain,
    ( c2_1(a382)
    | ~ iPr_def_19
    | ~ c3_1(a382)
    | ~ c1_1(a382) ),
    inference(instantiation,[status(thm)],[c_17761]) ).

tcf(c_18455,plain,
    ( c2_1(a395)
    | c0_1(a395)
    | ~ iPr_def_20
    | ~ c1_1(a395) ),
    inference(instantiation,[status(thm)],[c_17772]) ).

tcf(c_18458,plain,
    ( c3_1(a358)
    | c0_1(a358)
    | ~ iPr_def_16
    | ~ c2_1(a358) ),
    inference(instantiation,[status(thm)],[c_17776]) ).

tcf(c_18495,plain,
    ( hskp26
    | c3_1(a360)
    | c2_1(a360)
    | ~ c0_1(a360) ),
    inference(instantiation,[status(thm)],[c_17793]) ).

tcf(c_18556,plain,
    ( hskp17
    | c2_1(a387)
    | c0_1(a387)
    | ~ c3_1(a387) ),
    inference(instantiation,[status(thm)],[c_17792]) ).

tcf(c_18564,plain,
    ( c1_1(a387)
    | c0_1(a387)
    | ~ iPr_def_41
    | ~ c3_1(a387) ),
    inference(instantiation,[status(thm)],[c_17768]) ).

tcf(c_18568,plain,
    ( c2_1(a387)
    | c1_1(a387)
    | ~ iPr_def_22
    | ~ c3_1(a387) ),
    inference(instantiation,[status(thm)],[c_17781]) ).

tcf(c_18602,plain,
    ( c2_1(a382)
    | c1_1(a382)
    | c0_1(a382)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17791]) ).

tcf(c_18619,plain,
    ( c3_1(a359)
    | c1_1(a359)
    | ~ iPr_def_14
    | ~ c2_1(a359) ),
    inference(instantiation,[status(thm)],[c_17625]) ).

tcf(c_18648,plain,
    ( c3_1(a395)
    | c2_1(a395)
    | c0_1(a395)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_18663,plain,
    ( c0_1(a357)
    | ~ iPr_def_35
    | ~ c3_1(a357)
    | ~ c2_1(a357) ),
    inference(instantiation,[status(thm)],[c_17753]) ).

tcf(c_18677,plain,
    ( c2_1(a395)
    | ~ iPr_def_19
    | ~ c3_1(a395)
    | ~ c1_1(a395) ),
    inference(instantiation,[status(thm)],[c_17761]) ).

tcf(c_18821,plain,
    ( c3_1(a399)
    | c2_1(a399)
    | c0_1(a399)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_18852,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | c1_1(a360)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_17727]) ).

tcf(c_18901,plain,
    ( hskp17
    | c2_1(a357)
    | c0_1(a357)
    | ~ c3_1(a357) ),
    inference(instantiation,[status(thm)],[c_17792]) ).

tcf(c_18924,plain,
    ( c3_1(a360)
    | c2_1(a360)
    | c0_1(a360)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_17739]) ).

tcf(c_19229,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18924,c_18901,c_18852,c_18821,c_18677,c_18663,c_18648,c_18619,c_18602,c_18556,c_18564,c_18568,c_18495,c_18458,c_18455,c_18404,c_18389,c_18323,c_18318,c_18276,c_18243,c_18222,c_18220,c_18216,c_18214,c_18209,c_18205,c_18189,c_18173,c_18161,c_18168,c_18128,c_18114,c_18113,c_18112,c_18090,c_18042,c_18036,c_18006,c_17996,c_17993,c_17977,c_17960,c_17959,c_17957,c_17950,c_17948,c_17941,c_17935,c_17930,c_17918,c_17904,c_17790,c_17788,c_17784,c_17775,c_17758,c_17752,c_17748,c_17744,c_17737,c_17731,c_17725,c_17716,c_17713,c_17710,c_17704,c_17701,c_17695,c_17683,c_17662,c_17647,c_17643,c_17631,c_17623,c_17619,c_17615,c_17611,c_17607,c_8513,c_8506,c_8499,c_7721,c_7711,c_7701,c_7343,c_7326,c_7309,c_3074,c_3064,c_3054,c_293,c_257,c_52,c_56,c_64,c_67,c_68,c_70,c_71,c_72,c_74,c_75,c_76,c_90,c_91,c_92,c_100,c_104,c_115,c_116,c_120,c_126,c_127,c_128,c_131,c_132,c_135,c_136,c_147,c_148,c_155,c_156,c_50,c_51,c_54,c_55,c_62,c_63,c_66,c_98,c_99,c_102,c_103,c_114,c_118,c_119,c_130,c_134,c_146,c_154,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  : SYN504+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n006.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:34:28 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 5.78/1.72  % SZS status Started for theBenchmark.p
% 5.78/1.72  % SZS status Theorem for theBenchmark.p
% 5.78/1.72  
% 5.78/1.72  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.78/1.72  
% 5.78/1.72  % ------  iProver source info
% 5.78/1.72  
% 5.78/1.72  % git: date: 2026-07-19 20:42:38 +0200
% 5.78/1.72  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.78/1.72  % git: non_committed_changes: false
% 5.78/1.72  
% 5.78/1.72  % ------ Parsing...
% 5.78/1.72  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 5.78/1.72  % 
% 5.78/1.72  
% 5.78/1.72  % ------ 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 % 
% 5.78/1.72  
% 5.78/1.72  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 5.78/1.72   gs_s  sp: 120 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 5.78/1.72  % ------ Proving...
% 5.78/1.72  % ------ Problem Properties 
% 5.78/1.72  
% 5.78/1.72  % 
% 5.78/1.72  % clauses                               207
% 5.78/1.72  % conjectures                           204
% 5.78/1.72  % EPR                                   207
% 5.78/1.72  % Horn                                  111
% 5.78/1.72  % unary                                 0
% 5.78/1.72  % binary                                94
% 5.78/1.72  % lits                                  563
% 5.78/1.72  % lits eq                               0
% 5.78/1.72  % fd_pure                               0
% 5.78/1.72  % fd_pseudo                             0
% 5.78/1.72  % fd_cond                               0
% 5.78/1.72  % fd_pseudo_cond                        0
% 5.78/1.72  % AC symbols                            0
% 5.78/1.72  
% 5.78/1.72  % ------ Schedule EPR non Horn non eq is on
% 5.78/1.72  
% 5.78/1.72  % ------ no equalities: superposition off 
% 5.78/1.72  
% 5.78/1.72  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 5.78/1.72  
% 5.78/1.72  
% 5.78/1.72  % ------ 
% 5.78/1.72  % Current options:
% 5.78/1.72  % ------ 
% 5.78/1.72  
% 5.78/1.72  
% 5.78/1.72  % 
% 5.78/1.72  
% 5.78/1.72  % ------ Proving...
% 5.78/1.72  % 
% 5.78/1.72  
% 5.78/1.72  % SZS status Theorem for theBenchmark.p
% 5.78/1.72  
% 5.78/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.78/1.73  
% 5.78/1.73  
%------------------------------------------------------------------------------