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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN500+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n015.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 03:40:34 PM UTC 2026

% Result   : Theorem 1.43s 1.29s
% Output   : CNFRefutation 4.58s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f215ERROR: Could not build tree for root c_16743ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp12
        | hskp21
        | hskp11 )
      & ( hskp22
        | hskp0
        | hskp11 )
      & ( hskp9
        | hskp27 )
      & ( hskp19
        | hskp22
        | hskp17 )
      & ( hskp4
        | hskp27
        | hskp1 )
      & ( hskp9
        | hskp22
        | hskp25 )
      & ( hskp19
        | hskp24
        | hskp29 )
      & ( hskp12
        | hskp20
        | hskp14 )
      & ( hskp25
        | ! [X140] :
            ( ndr1_0
           => ( ~ c3_1(X140)
              | ~ c1_1(X140)
              | ~ c0_1(X140) ) ) )
      & ( hskp2
        | hskp6
        | ! [X139] :
            ( ndr1_0
           => ( ~ c2_1(X139)
              | ~ c1_1(X139)
              | c3_1(X139) ) ) )
      & ( hskp18
        | hskp28
        | ! [X138] :
            ( ndr1_0
           => ( ~ c2_1(X138)
              | ~ c0_1(X138)
              | c3_1(X138) ) ) )
      & ( hskp6
        | hskp20
        | ! [X137] :
            ( ndr1_0
           => ( ~ c1_1(X137)
              | ~ c0_1(X137)
              | c2_1(X137) ) ) )
      & ( hskp19
        | ! [X136] :
            ( ndr1_0
           => ( ~ c1_1(X136)
              | c3_1(X136)
              | c2_1(X136) ) ) )
      & ( hskp22
        | hskp24
        | ! [X135] :
            ( ndr1_0
           => ( ~ c0_1(X135)
              | c3_1(X135)
              | c2_1(X135) ) ) )
      & ( hskp23
        | hskp26
        | ! [X134] :
            ( ndr1_0
           => ( ~ c0_1(X134)
              | c3_1(X134)
              | c2_1(X134) ) ) )
      & ( hskp13
        | ! [X133] :
            ( ndr1_0
           => ( ~ c3_1(X133)
              | ~ c1_1(X133)
              | ~ c0_1(X133) ) )
        | ! [X132] :
            ( ndr1_0
           => ( ~ c0_1(X132)
              | c3_1(X132)
              | c2_1(X132) ) ) )
      & ( hskp20
        | ! [X131] :
            ( ndr1_0
           => ( ~ c2_1(X131)
              | ~ c1_1(X131)
              | c3_1(X131) ) )
        | ! [X130] :
            ( ndr1_0
           => ( ~ c0_1(X130)
              | c3_1(X130)
              | c2_1(X130) ) ) )
      & ( hskp8
        | ! [X129] :
            ( ndr1_0
           => ( ~ c2_1(X129)
              | ~ c0_1(X129)
              | c3_1(X129) ) )
        | ! [X128] :
            ( ndr1_0
           => ( ~ c3_1(X128)
              | ~ c2_1(X128)
              | c1_1(X128) ) ) )
      & ( hskp21
        | hskp11
        | ! [X127] :
            ( ndr1_0
           => ( ~ c2_1(X127)
              | ~ c0_1(X127)
              | c1_1(X127) ) ) )
      & ( hskp19
        | hskp18
        | ! [X126] :
            ( ndr1_0
           => ( ~ c2_1(X126)
              | ~ c0_1(X126)
              | c1_1(X126) ) ) )
      & ( hskp12
        | ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c0_1(X125)
              | c3_1(X125) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c0_1(X124)
              | c1_1(X124) ) ) )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | ~ c0_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | c1_1(X122) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c0_1(X121)
              | c1_1(X121) ) ) )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c2_1(X120) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | c1_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c1_1(X118) ) ) )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) )
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | c3_1(X115)
              | c1_1(X115) ) ) )
      & ( hskp1
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | c3_1(X114)
              | c2_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c2_1(X113)
              | c3_1(X113)
              | c1_1(X113) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | c3_1(X111)
              | c2_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | c3_1(X110)
              | c1_1(X110) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c1_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | c3_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp9
        | hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp17
        | hskp1
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp22
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | c3_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | c2_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c2_1(X96)
              | c1_1(X96) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp12
        | hskp11
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp20
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | hskp3
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c0_1(X86) ) ) )
      & ( hskp19
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | c0_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c1_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp15
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c1_1(X80)
              | c0_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp12
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp10
        | hskp13
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | c0_1(X74) ) ) )
      & ( hskp5
        | hskp17
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | hskp26
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp13
        | hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c0_1(X69) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp28
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | ~ c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | c3_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp13
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c3_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp3
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp28
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c2_1(X54)
              | c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | hskp0
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp12
        | hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp10
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp4
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp9
        | hskp8
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp27
        | hskp1
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp7
        | hskp6
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp2
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c3_1(X39)
              | c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c1_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp5
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | ~ c1_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp4
        | hskp0
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp3
        | hskp26
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp2
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp0
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c0_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c2_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c0_1(X2)
              | c1_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(a77)
          & c2_1(a77)
          & c0_1(a77)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a23)
          & c1_1(a23)
          & c0_1(a23)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a4)
          & c1_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a73)
          & c2_1(a73)
          & c0_1(a73)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a64)
          & c3_1(a64)
          & c1_1(a64)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a63)
          & ~ c1_1(a63)
          & c2_1(a63)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a48)
          & ~ c0_1(a48)
          & c1_1(a48)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a47)
          & c3_1(a47)
          & c2_1(a47)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a43)
          & c1_1(a43)
          & c0_1(a43)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a40)
          & ~ c0_1(a40)
          & c2_1(a40)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a39)
          & c3_1(a39)
          & c0_1(a39)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a33)
          & ~ c1_1(a33)
          & c0_1(a33)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a25)
          & c1_1(a25)
          & c0_1(a25)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a22)
          & ~ c0_1(a22)
          & c3_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a20)
          & ~ c2_1(a20)
          & ~ c0_1(a20)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a19)
          & c2_1(a19)
          & c1_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a18)
          & ~ c2_1(a18)
          & ~ c1_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a15)
          & ~ c1_1(a15)
          & ~ c0_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a14)
          & ~ c0_1(a14)
          & c3_1(a14)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a11)
          & ~ c0_1(a11)
          & c1_1(a11)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a10)
          & c3_1(a10)
          & c0_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a8)
          & ~ c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a7)
          & ~ c1_1(a7)
          & ~ c0_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a3)
          & ~ c1_1(a3)
          & c3_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2)
          & ~ c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & c3_1(a1)
          & c1_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp12
          | hskp21
          | hskp11 )
        & ( hskp22
          | hskp0
          | hskp11 )
        & ( hskp9
          | hskp27 )
        & ( hskp19
          | hskp22
          | hskp17 )
        & ( hskp4
          | hskp27
          | hskp1 )
        & ( hskp9
          | hskp22
          | hskp25 )
        & ( hskp19
          | hskp24
          | hskp29 )
        & ( hskp12
          | hskp20
          | hskp14 )
        & ( hskp25
          | ! [X140] :
              ( ndr1_0
             => ( ~ c3_1(X140)
                | ~ c1_1(X140)
                | ~ c0_1(X140) ) ) )
        & ( hskp2
          | hskp6
          | ! [X139] :
              ( ndr1_0
             => ( ~ c2_1(X139)
                | ~ c1_1(X139)
                | c3_1(X139) ) ) )
        & ( hskp18
          | hskp28
          | ! [X138] :
              ( ndr1_0
             => ( ~ c2_1(X138)
                | ~ c0_1(X138)
                | c3_1(X138) ) ) )
        & ( hskp6
          | hskp20
          | ! [X137] :
              ( ndr1_0
             => ( ~ c1_1(X137)
                | ~ c0_1(X137)
                | c2_1(X137) ) ) )
        & ( hskp19
          | ! [X136] :
              ( ndr1_0
             => ( ~ c1_1(X136)
                | c3_1(X136)
                | c2_1(X136) ) ) )
        & ( hskp22
          | hskp24
          | ! [X135] :
              ( ndr1_0
             => ( ~ c0_1(X135)
                | c3_1(X135)
                | c2_1(X135) ) ) )
        & ( hskp23
          | hskp26
          | ! [X134] :
              ( ndr1_0
             => ( ~ c0_1(X134)
                | c3_1(X134)
                | c2_1(X134) ) ) )
        & ( hskp13
          | ! [X133] :
              ( ndr1_0
             => ( ~ c3_1(X133)
                | ~ c1_1(X133)
                | ~ c0_1(X133) ) )
          | ! [X132] :
              ( ndr1_0
             => ( ~ c0_1(X132)
                | c3_1(X132)
                | c2_1(X132) ) ) )
        & ( hskp20
          | ! [X131] :
              ( ndr1_0
             => ( ~ c2_1(X131)
                | ~ c1_1(X131)
                | c3_1(X131) ) )
          | ! [X130] :
              ( ndr1_0
             => ( ~ c0_1(X130)
                | c3_1(X130)
                | c2_1(X130) ) ) )
        & ( hskp8
          | ! [X129] :
              ( ndr1_0
             => ( ~ c2_1(X129)
                | ~ c0_1(X129)
                | c3_1(X129) ) )
          | ! [X128] :
              ( ndr1_0
             => ( ~ c3_1(X128)
                | ~ c2_1(X128)
                | c1_1(X128) ) ) )
        & ( hskp21
          | hskp11
          | ! [X127] :
              ( ndr1_0
             => ( ~ c2_1(X127)
                | ~ c0_1(X127)
                | c1_1(X127) ) ) )
        & ( hskp19
          | hskp18
          | ! [X126] :
              ( ndr1_0
             => ( ~ c2_1(X126)
                | ~ c0_1(X126)
                | c1_1(X126) ) ) )
        & ( hskp12
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c0_1(X125)
                | c3_1(X125) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c0_1(X124)
                | c1_1(X124) ) ) )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | ~ c0_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c1_1(X122) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c0_1(X121)
                | c1_1(X121) ) ) )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c2_1(X120) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | c1_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c1_1(X118) ) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c1_1(X115) ) ) )
        & ( hskp1
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | c3_1(X114)
                | c2_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c3_1(X113)
                | c1_1(X113) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | c3_1(X111)
                | c2_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c3_1(X110)
                | c1_1(X110) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c1_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | c3_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp9
          | hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp17
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp22
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c2_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp12
          | hskp11
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp20
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | hskp3
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp19
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp15
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c0_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp5
          | hskp17
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp13
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp28
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | ~ c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp13
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp3
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp28
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp12
          | hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp10
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp9
          | hskp8
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp7
          | hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp2
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c1_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp5
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp4
          | hskp0
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp3
          | hskp26
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp2
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp0
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c2_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c1_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(a77)
            & c2_1(a77)
            & c0_1(a77)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a23)
            & c1_1(a23)
            & c0_1(a23)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a4)
            & c1_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a73)
            & c2_1(a73)
            & c0_1(a73)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a64)
            & c3_1(a64)
            & c1_1(a64)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a63)
            & ~ c1_1(a63)
            & c2_1(a63)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a48)
            & ~ c0_1(a48)
            & c1_1(a48)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a47)
            & c3_1(a47)
            & c2_1(a47)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a43)
            & c1_1(a43)
            & c0_1(a43)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a40)
            & ~ c0_1(a40)
            & c2_1(a40)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a39)
            & c3_1(a39)
            & c0_1(a39)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a33)
            & ~ c1_1(a33)
            & c0_1(a33)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a22)
            & ~ c0_1(a22)
            & c3_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a20)
            & ~ c2_1(a20)
            & ~ c0_1(a20)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a19)
            & c2_1(a19)
            & c1_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & ~ c2_1(a18)
            & ~ c1_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & ~ c0_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a14)
            & ~ c0_1(a14)
            & c3_1(a14)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a11)
            & ~ c0_1(a11)
            & c1_1(a11)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a10)
            & c3_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a8)
            & ~ c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a7)
            & ~ c1_1(a7)
            & ~ c0_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a3)
            & ~ c1_1(a3)
            & c3_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2)
            & ~ c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & c3_1(a1)
            & c1_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X140] :
          ( ndr1_0
         => ( ~ c3_1(X140)
            | ~ c1_1(X140)
            | ~ c0_1(X140) ) ) )
    & ( hskp2
      | hskp6
      | ! [X139] :
          ( ndr1_0
         => ( ~ c2_1(X139)
            | ~ c1_1(X139)
            | c3_1(X139) ) ) )
    & ( hskp18
      | hskp28
      | ! [X138] :
          ( ndr1_0
         => ( ~ c2_1(X138)
            | ~ c0_1(X138)
            | c3_1(X138) ) ) )
    & ( hskp6
      | hskp20
      | ! [X137] :
          ( ndr1_0
         => ( ~ c1_1(X137)
            | ~ c0_1(X137)
            | c2_1(X137) ) ) )
    & ( hskp19
      | ! [X136] :
          ( ndr1_0
         => ( ~ c1_1(X136)
            | c3_1(X136)
            | c2_1(X136) ) ) )
    & ( hskp22
      | hskp24
      | ! [X135] :
          ( ndr1_0
         => ( ~ c0_1(X135)
            | c3_1(X135)
            | c2_1(X135) ) ) )
    & ( hskp23
      | hskp26
      | ! [X134] :
          ( ndr1_0
         => ( ~ c0_1(X134)
            | c3_1(X134)
            | c2_1(X134) ) ) )
    & ( hskp13
      | ! [X133] :
          ( ndr1_0
         => ( ~ c3_1(X133)
            | ~ c1_1(X133)
            | ~ c0_1(X133) ) )
      | ! [X132] :
          ( ndr1_0
         => ( ~ c0_1(X132)
            | c3_1(X132)
            | c2_1(X132) ) ) )
    & ( hskp20
      | ! [X131] :
          ( ndr1_0
         => ( ~ c2_1(X131)
            | ~ c1_1(X131)
            | c3_1(X131) ) )
      | ! [X130] :
          ( ndr1_0
         => ( ~ c0_1(X130)
            | c3_1(X130)
            | c2_1(X130) ) ) )
    & ( hskp8
      | ! [X129] :
          ( ndr1_0
         => ( ~ c2_1(X129)
            | ~ c0_1(X129)
            | c3_1(X129) ) )
      | ! [X128] :
          ( ndr1_0
         => ( ~ c3_1(X128)
            | ~ c2_1(X128)
            | c1_1(X128) ) ) )
    & ( hskp21
      | hskp11
      | ! [X127] :
          ( ndr1_0
         => ( ~ c2_1(X127)
            | ~ c0_1(X127)
            | c1_1(X127) ) ) )
    & ( hskp19
      | hskp18
      | ! [X126] :
          ( ndr1_0
         => ( ~ c2_1(X126)
            | ~ c0_1(X126)
            | c1_1(X126) ) ) )
    & ( hskp12
      | ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c0_1(X125)
            | c3_1(X125) ) )
      | ! [X124] :
          ( ndr1_0
         => ( ~ c2_1(X124)
            | ~ c0_1(X124)
            | c1_1(X124) ) ) )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | ~ c1_1(X123)
            | ~ c0_1(X123) ) )
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c2_1(X122)
            | c1_1(X122) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c2_1(X121)
            | ~ c0_1(X121)
            | c1_1(X121) ) ) )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c1_1(X120)
            | ~ c0_1(X120)
            | c2_1(X120) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c2_1(X119)
            | c1_1(X119) ) )
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c0_1(X118)
            | c1_1(X118) ) ) )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c1_1(X117)
            | ~ c0_1(X117) ) )
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c2_1(X116) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c3_1(X115)
            | c1_1(X115) ) ) )
    & ( hskp1
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | c3_1(X114)
            | c2_1(X114) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | c3_1(X113)
            | c1_1(X113) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | c3_1(X111)
            | c2_1(X111) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c3_1(X110)
            | c1_1(X110) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c2_1(X109) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c0_1(X108)
            | c1_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c2_1(X107)
            | c3_1(X107)
            | c1_1(X107) ) ) )
    & ( hskp9
      | hskp11
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | c3_1(X106)
            | c1_1(X106) ) ) )
    & ( hskp17
      | hskp1
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c3_1(X105)
            | c1_1(X105) ) ) )
    & ( hskp22
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | c1_1(X104) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c3_1(X103)
            | c1_1(X103) ) ) )
    & ( hskp21
      | ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | ~ c1_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c2_1(X101)
            | c1_1(X101) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c1_1(X99) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c2_1(X98)
            | c1_1(X98) ) ) )
    & ( hskp8
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c2_1(X97)
            | c1_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | c2_1(X96)
            | c1_1(X96) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c2_1(X93)
            | c1_1(X93) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp20
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp2
      | hskp3
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp19
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c2_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp18
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c3_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp15
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c0_1(X80) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | c3_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp12
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | hskp13
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp5
      | hskp17
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp16
      | hskp26
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp13
      | hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp28
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | ~ c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp13
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp14
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c2_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp3
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c2_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp28
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | hskp0
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp10
      | hskp1
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp4
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp9
      | hskp8
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp27
      | hskp1
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | c2_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp7
      | hskp6
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp2
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c1_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c1_1(X40)
            | c0_1(X40) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c1_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c1_1(X34)
            | c0_1(X34) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c1_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp5
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c1_1(X29)
            | c0_1(X29) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp4
      | hskp0
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c1_1(X25)
            | c0_1(X25) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp3
      | hskp26
      | ! [X21] :
          ( ndr1_0
         => ( c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp2
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | c2_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp1
      | ! [X18] :
          ( ndr1_0
         => ( ~ c2_1(X18)
            | ~ c1_1(X18)
            | c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp0
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c2_1(X10)
            | c1_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | c1_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | c3_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c2_1(X4)
            | c1_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c0_1(X2)
            | c1_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(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X140] :
          ( ~ ndr1_0
          | ~ c3_1(X140)
          | ~ c1_1(X140)
          | ~ c0_1(X140) ) )
    & ( hskp2
      | hskp6
      | ! [X139] :
          ( ~ ndr1_0
          | ~ c2_1(X139)
          | ~ c1_1(X139)
          | c3_1(X139) ) )
    & ( hskp18
      | hskp28
      | ! [X138] :
          ( ~ ndr1_0
          | ~ c2_1(X138)
          | ~ c0_1(X138)
          | c3_1(X138) ) )
    & ( hskp6
      | hskp20
      | ! [X137] :
          ( ~ ndr1_0
          | ~ c1_1(X137)
          | ~ c0_1(X137)
          | c2_1(X137) ) )
    & ( hskp19
      | ! [X136] :
          ( ~ ndr1_0
          | ~ c1_1(X136)
          | c3_1(X136)
          | c2_1(X136) ) )
    & ( hskp22
      | hskp24
      | ! [X135] :
          ( ~ ndr1_0
          | ~ c0_1(X135)
          | c3_1(X135)
          | c2_1(X135) ) )
    & ( hskp23
      | hskp26
      | ! [X134] :
          ( ~ ndr1_0
          | ~ c0_1(X134)
          | c3_1(X134)
          | c2_1(X134) ) )
    & ( hskp13
      | ! [X133] :
          ( ~ ndr1_0
          | ~ c3_1(X133)
          | ~ c1_1(X133)
          | ~ c0_1(X133) )
      | ! [X132] :
          ( ~ ndr1_0
          | ~ c0_1(X132)
          | c3_1(X132)
          | c2_1(X132) ) )
    & ( hskp20
      | ! [X131] :
          ( ~ ndr1_0
          | ~ c2_1(X131)
          | ~ c1_1(X131)
          | c3_1(X131) )
      | ! [X130] :
          ( ~ ndr1_0
          | ~ c0_1(X130)
          | c3_1(X130)
          | c2_1(X130) ) )
    & ( hskp8
      | ! [X129] :
          ( ~ ndr1_0
          | ~ c2_1(X129)
          | ~ c0_1(X129)
          | c3_1(X129) )
      | ! [X128] :
          ( ~ ndr1_0
          | ~ c3_1(X128)
          | ~ c2_1(X128)
          | c1_1(X128) ) )
    & ( hskp21
      | hskp11
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | c1_1(X127) ) )
    & ( hskp19
      | hskp18
      | ! [X126] :
          ( ~ ndr1_0
          | ~ c2_1(X126)
          | ~ c0_1(X126)
          | c1_1(X126) ) )
    & ( hskp12
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c1_1(X125)
          | ~ c0_1(X125)
          | c3_1(X125) )
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c2_1(X124)
          | ~ c0_1(X124)
          | c1_1(X124) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c2_1(X122)
          | c1_1(X122) )
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c0_1(X121)
          | c1_1(X121) ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | ~ c1_1(X120)
          | ~ c0_1(X120)
          | c2_1(X120) )
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119) )
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c1_1(X118) ) )
    & ( ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116) )
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | c3_1(X115)
          | c1_1(X115) ) )
    & ( hskp1
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | c3_1(X113)
          | c1_1(X113) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c0_1(X111)
          | c3_1(X111)
          | c2_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | c3_1(X110)
          | c1_1(X110) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107) ) )
    & ( hskp9
      | hskp11
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c1_1(X106) ) )
    & ( hskp17
      | hskp1
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c1_1(X105) ) )
    & ( hskp22
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c0_1(X103)
          | c3_1(X103)
          | c1_1(X103) ) )
    & ( hskp21
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c2_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | c2_1(X101)
          | c1_1(X101) ) )
    & ( ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | c2_1(X98)
          | c1_1(X98) ) )
    & ( hskp8
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | c1_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c2_1(X96)
          | c1_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c0_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c2_1(X93)
          | c1_1(X93) ) )
    & ( ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ ndr1_0
          | c3_1(X89)
          | c2_1(X89)
          | c1_1(X89) ) )
    & ( hskp20
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | c3_1(X87)
          | c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp2
      | hskp3
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86) ) )
    & ( hskp19
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84) ) )
    & ( hskp18
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82) ) )
    & ( hskp15
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | c0_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | c3_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77) ) )
    & ( hskp12
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75) ) )
    & ( hskp10
      | hskp13
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74) ) )
    & ( hskp5
      | hskp17
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73) ) )
    & ( hskp16
      | hskp26
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72) ) )
    & ( hskp3
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70) ) )
    & ( hskp13
      | hskp15
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69) ) )
    & ( ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66) ) )
    & ( hskp28
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64) ) )
    & ( hskp13
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | c3_1(X59)
          | c2_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c3_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( hskp3
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55) ) )
    & ( hskp28
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | hskp0
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp10
      | hskp1
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp4
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp9
      | hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp27
      | hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp7
      | hskp6
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp2
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c1_1(X40)
          | c0_1(X40) ) )
    & ( ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c1_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | c1_1(X31)
          | c0_1(X31) ) )
    & ( hskp5
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c2_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp4
      | hskp0
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp3
      | hskp26
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp2
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp0
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | c3_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c2_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c0_1(X2)
          | c1_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(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp12
      | hskp21
      | hskp11 )
    & ( hskp22
      | hskp0
      | hskp11 )
    & ( hskp9
      | hskp27 )
    & ( hskp19
      | hskp22
      | hskp17 )
    & ( hskp4
      | hskp27
      | hskp1 )
    & ( hskp9
      | hskp22
      | hskp25 )
    & ( hskp19
      | hskp24
      | hskp29 )
    & ( hskp12
      | hskp20
      | hskp14 )
    & ( hskp25
      | ! [X140] :
          ( ~ ndr1_0
          | ~ c3_1(X140)
          | ~ c1_1(X140)
          | ~ c0_1(X140) ) )
    & ( hskp2
      | hskp6
      | ! [X139] :
          ( ~ ndr1_0
          | ~ c2_1(X139)
          | ~ c1_1(X139)
          | c3_1(X139) ) )
    & ( hskp18
      | hskp28
      | ! [X138] :
          ( ~ ndr1_0
          | ~ c2_1(X138)
          | ~ c0_1(X138)
          | c3_1(X138) ) )
    & ( hskp6
      | hskp20
      | ! [X137] :
          ( ~ ndr1_0
          | ~ c1_1(X137)
          | ~ c0_1(X137)
          | c2_1(X137) ) )
    & ( hskp19
      | ! [X136] :
          ( ~ ndr1_0
          | ~ c1_1(X136)
          | c3_1(X136)
          | c2_1(X136) ) )
    & ( hskp22
      | hskp24
      | ! [X135] :
          ( ~ ndr1_0
          | ~ c0_1(X135)
          | c3_1(X135)
          | c2_1(X135) ) )
    & ( hskp23
      | hskp26
      | ! [X134] :
          ( ~ ndr1_0
          | ~ c0_1(X134)
          | c3_1(X134)
          | c2_1(X134) ) )
    & ( hskp13
      | ! [X133] :
          ( ~ ndr1_0
          | ~ c3_1(X133)
          | ~ c1_1(X133)
          | ~ c0_1(X133) )
      | ! [X132] :
          ( ~ ndr1_0
          | ~ c0_1(X132)
          | c3_1(X132)
          | c2_1(X132) ) )
    & ( hskp20
      | ! [X131] :
          ( ~ ndr1_0
          | ~ c2_1(X131)
          | ~ c1_1(X131)
          | c3_1(X131) )
      | ! [X130] :
          ( ~ ndr1_0
          | ~ c0_1(X130)
          | c3_1(X130)
          | c2_1(X130) ) )
    & ( hskp8
      | ! [X129] :
          ( ~ ndr1_0
          | ~ c2_1(X129)
          | ~ c0_1(X129)
          | c3_1(X129) )
      | ! [X128] :
          ( ~ ndr1_0
          | ~ c3_1(X128)
          | ~ c2_1(X128)
          | c1_1(X128) ) )
    & ( hskp21
      | hskp11
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c2_1(X127)
          | ~ c0_1(X127)
          | c1_1(X127) ) )
    & ( hskp19
      | hskp18
      | ! [X126] :
          ( ~ ndr1_0
          | ~ c2_1(X126)
          | ~ c0_1(X126)
          | c1_1(X126) ) )
    & ( hskp12
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c1_1(X125)
          | ~ c0_1(X125)
          | c3_1(X125) )
      | ! [X124] :
          ( ~ ndr1_0
          | ~ c2_1(X124)
          | ~ c0_1(X124)
          | c1_1(X124) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | ~ c2_1(X123)
          | ~ c1_1(X123)
          | ~ c0_1(X123) )
      | ! [X122] :
          ( ~ ndr1_0
          | ~ c3_1(X122)
          | ~ c2_1(X122)
          | c1_1(X122) )
      | ! [X121] :
          ( ~ ndr1_0
          | ~ c2_1(X121)
          | ~ c0_1(X121)
          | c1_1(X121) ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | ~ c1_1(X120)
          | ~ c0_1(X120)
          | c2_1(X120) )
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | c1_1(X119) )
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c1_1(X118) ) )
    & ( ! [X117] :
          ( ~ ndr1_0
          | ~ c3_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) )
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116) )
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | c3_1(X115)
          | c1_1(X115) ) )
    & ( hskp1
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | c3_1(X114)
          | c2_1(X114) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c2_1(X113)
          | c3_1(X113)
          | c1_1(X113) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c0_1(X111)
          | c3_1(X111)
          | c2_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | c3_1(X110)
          | c1_1(X110) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) )
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c0_1(X108)
          | c1_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | c3_1(X107)
          | c1_1(X107) ) )
    & ( hskp9
      | hskp11
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c1_1(X106) ) )
    & ( hskp17
      | hskp1
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c1_1(X105) ) )
    & ( hskp22
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c0_1(X103)
          | c3_1(X103)
          | c1_1(X103) ) )
    & ( hskp21
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c2_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | c2_1(X101)
          | c1_1(X101) ) )
    & ( ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | c2_1(X98)
          | c1_1(X98) ) )
    & ( hskp8
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | c1_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c2_1(X96)
          | c1_1(X96) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c0_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c2_1(X93)
          | c1_1(X93) ) )
    & ( ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c0_1(X90)
          | c2_1(X90)
          | c1_1(X90) ) )
    & ( hskp12
      | hskp11
      | ! [X89] :
          ( ~ ndr1_0
          | c3_1(X89)
          | c2_1(X89)
          | c1_1(X89) ) )
    & ( hskp20
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | c3_1(X87)
          | c2_1(X87)
          | c1_1(X87) ) )
    & ( hskp2
      | hskp3
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c0_1(X86) ) )
    & ( hskp19
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84) ) )
    & ( hskp18
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | ~ c0_1(X83)
          | c3_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82) ) )
    & ( hskp15
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c1_1(X80)
          | c0_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | c3_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77) ) )
    & ( hskp12
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75) ) )
    & ( hskp10
      | hskp13
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | c0_1(X74) ) )
    & ( hskp5
      | hskp17
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73) ) )
    & ( hskp16
      | hskp26
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72) ) )
    & ( hskp3
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70) ) )
    & ( hskp13
      | hskp15
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69) ) )
    & ( ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66) ) )
    & ( hskp28
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64) ) )
    & ( hskp13
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c1_1(X59)
          | c3_1(X59)
          | c2_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c3_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c1_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( hskp3
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | c2_1(X55)
          | c0_1(X55) ) )
    & ( hskp28
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | c2_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | hskp0
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c1_1(X52)
          | c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp12
      | hskp11
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp10
      | hskp1
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp4
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp9
      | hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp27
      | hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp7
      | hskp6
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp2
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c1_1(X40)
          | c0_1(X40) ) )
    & ( ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c1_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c2_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | c1_1(X31)
          | c0_1(X31) ) )
    & ( hskp5
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | c1_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c2_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp4
      | hskp0
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp3
      | hskp26
      | ! [X21] :
          ( ~ ndr1_0
          | c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp2
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c1_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp0
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | ~ c0_1(X7)
          | c1_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | c3_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c2_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c0_1(X2)
          | c1_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(a77)
        & c2_1(a77)
        & c0_1(a77)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a23)
        & c1_1(a23)
        & c0_1(a23)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a4)
        & c1_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a73)
        & c2_1(a73)
        & c0_1(a73)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a64)
        & c3_1(a64)
        & c1_1(a64)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a63)
        & ~ c1_1(a63)
        & c2_1(a63)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a48)
        & ~ c0_1(a48)
        & c1_1(a48)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a47)
        & c3_1(a47)
        & c2_1(a47)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a43)
        & c1_1(a43)
        & c0_1(a43)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a40)
        & ~ c0_1(a40)
        & c2_1(a40)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a39)
        & c3_1(a39)
        & c0_1(a39)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a33)
        & ~ c1_1(a33)
        & c0_1(a33)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a22)
        & ~ c0_1(a22)
        & c3_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a20)
        & ~ c2_1(a20)
        & ~ c0_1(a20)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a19)
        & c2_1(a19)
        & c1_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & ~ c2_1(a18)
        & ~ c1_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & ~ c0_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a14)
        & ~ c0_1(a14)
        & c3_1(a14)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a11)
        & ~ c0_1(a11)
        & c1_1(a11)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a10)
        & c3_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a8)
        & ~ c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a7)
        & ~ c1_1(a7)
        & ~ c0_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a3)
        & ~ c1_1(a3)
        & c3_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2)
        & ~ c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & c3_1(a1)
        & c1_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp21
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp22
    | hskp0
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp19
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp19
    | hskp24
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X140] :
      ( hskp25
      | ~ ndr1_0
      | ~ c3_1(X140)
      | ~ c1_1(X140)
      | ~ c0_1(X140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X136] :
      ( hskp19
      | ~ ndr1_0
      | ~ c1_1(X136)
      | c3_1(X136)
      | c2_1(X136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X106] :
      ( hskp9
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X106)
      | c3_1(X106)
      | c1_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X74] :
      ( hskp10
      | hskp13
      | ~ ndr1_0
      | ~ c2_1(X74)
      | ~ c1_1(X74)
      | c0_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X73] :
      ( hskp5
      | hskp17
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | c0_1(X73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X69] :
      ( hskp13
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X69)
      | c3_1(X69)
      | c0_1(X69) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X52] :
      ( hskp13
      | hskp0
      | ~ ndr1_0
      | ~ c1_1(X52)
      | c2_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X51] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | ~ c1_1(X51)
      | c2_1(X51)
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X50] :
      ( hskp10
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X50)
      | c2_1(X50)
      | c0_1(X50) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X46] :
      ( hskp27
      | hskp1
      | ~ ndr1_0
      | c3_1(X46)
      | c2_1(X46)
      | c0_1(X46) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X25] :
      ( hskp4
      | hskp0
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c1_1(X25)
      | c0_1(X25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c2_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c1_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c2_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c0_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c0_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c3_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c2_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c1_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c0_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c3_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c2_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c1_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ c0_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ c1_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c3_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c2_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c1_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c0_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c2_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c1_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c1_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_58,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a5) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_66,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_82,negated_conjecture,
    ( c3_1(a14)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a28)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a33) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a33) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_125,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a40)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( c0_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( c1_1(a43)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_134,negated_conjecture,
    ( c2_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_135,negated_conjecture,
    ( c3_1(a47)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,negated_conjecture,
    ( c1_1(a48)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_151,negated_conjecture,
    ( c2_1(a73)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_159,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a13)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp0
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp0
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp5
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp10
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_242,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp19 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_245,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp17 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_246,negated_conjecture,
    ( hskp27
    | hskp9 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_247,negated_conjecture,
    ( hskp22
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_248,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_242,c_165,c_145,c_125]) ).

tcf(c_337,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_236,c_277]) ).

tcf(c_346,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_242,c_165,c_145,c_125,c_188]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp9
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_242,c_165,c_145,c_125,c_221]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_242,c_165,c_145,c_125,c_201]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp0
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_242,c_165,c_145,c_125,c_193]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_242,c_165,c_145,c_125,c_192]) ).

tcf(c_373,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp1
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_242,c_165,c_145,c_125,c_191]) ).

tcf(c_379,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp0
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_242,c_165,c_145,c_125,c_179]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( hskp25
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_242,c_165,c_145,c_125,c_240]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_382]) ).

tcf(c_403,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp10
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_242,c_165,c_145,c_125,c_205]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp10
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_406,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp5
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_242,c_165,c_145,c_125,c_204]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp5
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_242,c_165,c_145,c_125,c_173]) ).

tcf(c_414,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_242,c_165,c_145,c_125,c_224]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_418,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_242,c_165,c_145,c_125,c_190]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_418]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_242,c_165,c_145,c_125,c_176]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_242,c_165,c_145,c_125,c_175]) ).

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

tcf(c_425,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_242,c_165,c_145,c_125,c_232]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_242,c_165,c_145,c_125,c_219]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_427]) ).

tcf(c_429,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_242,c_165,c_145,c_125,c_216]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_429]) ).

tcf(c_431,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_242,c_165,c_145,c_125,c_208]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_431]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_242,c_165,c_145,c_125,c_202]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_242,c_165,c_145,c_125,c_181]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_446,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_242,c_165,c_145,c_125,c_233]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_446]) ).

tcf(c_452,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_242,c_165,c_145,c_125,c_218]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_452]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_242,c_165,c_145,c_125,c_174]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_242,c_165,c_145,c_125,c_196]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_242,c_165,c_145,c_125,c_187]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_242,c_165,c_145,c_125,c_184]) ).

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

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_242,c_165,c_145,c_125,c_182]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_242,c_165,c_145,c_125,c_180]) ).

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

tcf(c_479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_242,c_165,c_145,c_125,c_171]) ).

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

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_242,c_165,c_145,c_125,c_169]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_242,c_165,c_145,c_125,c_222]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_242,c_165,c_145,c_125,c_217]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_242,c_165,c_145,c_125,c_214,c_215]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_242,c_165,c_145,c_125,c_200]) ).

tcf(c_492,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_491]) ).

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_242,c_165,c_145,c_125,c_183]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_242,c_165,c_145,c_125,c_178]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_242,c_165,c_145,c_125,c_172]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | c1_1(X1)
      | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_242,c_165,c_145,c_125,c_226,c_227]) ).

tcf(c_500,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_499]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_242,c_165,c_145,c_125,c_225]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_490]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_242,c_165,c_145,c_125,c_207]) ).

tcf(c_506,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_505]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_500]) ).

tcf(c_508,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_507]) ).

tcf(c_2106,plain,
    ! [X0: $i] :
      ( ~ c3_1(a73)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_383,c_152]) ).

tcf(c_2107,plain,
    ( ~ c0_1(a1)
    | ~ c3_1(a73)
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_2106]) ).

tcf(c_2120,plain,
    ! [X0: $i] :
      ( c2_1(a73)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_383,c_151]) ).

tcf(c_2121,plain,
    ( c2_1(a73)
    | ~ c0_1(a1)
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_2120]) ).

tcf(c_2134,plain,
    ! [X0: $i] :
      ( c0_1(a73)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_383,c_150]) ).

tcf(c_2135,plain,
    ( c0_1(a73)
    | ~ c0_1(a1)
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_2134]) ).

tcf(c_2250,plain,
    ! [X0: $i] :
      ( hskp1
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(a18)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_373,c_92]) ).

tcf(c_2251,plain,
    ( hskp1
    | c0_1(a1)
    | c2_1(a1)
    | ~ c3_1(a18)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_2250]) ).

tcf(c_2267,plain,
    ! [X0: $i] :
      ( hskp1
      | c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(a18)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_373,c_91]) ).

tcf(c_2268,plain,
    ( hskp1
    | c0_1(a1)
    | c2_1(a1)
    | ~ c2_1(a18)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_2267]) ).

tcf(c_2997,plain,
    ( hskp22
    | hskp19
    | ~ c3_1(a33) ),
    inference(resolution,[status(thm)],[c_245,c_120]) ).

tcf(c_3007,plain,
    ( hskp22
    | hskp19
    | ~ c1_1(a33) ),
    inference(resolution,[status(thm)],[c_245,c_119]) ).

tcf(c_3017,plain,
    ( hskp22
    | hskp19
    | c0_1(a33) ),
    inference(resolution,[status(thm)],[c_245,c_118]) ).

tcf(c_3744,plain,
    ( hskp27
    | ~ c2_1(a15) ),
    inference(resolution,[status(thm)],[c_246,c_88]) ).

tcf(c_3751,plain,
    ( hskp27
    | ~ c1_1(a15) ),
    inference(resolution,[status(thm)],[c_246,c_87]) ).

tcf(c_3758,plain,
    ( hskp27
    | ~ c0_1(a15) ),
    inference(resolution,[status(thm)],[c_246,c_86]) ).

tcf(c_5094,plain,
    ( hskp22
    | hskp11
    | ~ c2_1(a1) ),
    inference(resolution,[status(thm)],[c_247,c_52]) ).

tcf(c_5104,plain,
    ( hskp22
    | hskp11
    | c3_1(a1) ),
    inference(resolution,[status(thm)],[c_247,c_51]) ).

tcf(c_5114,plain,
    ( hskp22
    | hskp11
    | c1_1(a1) ),
    inference(resolution,[status(thm)],[c_247,c_50]) ).

tcf(c_5301,plain,
    ( hskp11
    | hskp0
    | ~ c3_1(a48) ),
    inference(resolution,[status(thm)],[c_247,c_140]) ).

tcf(c_5311,plain,
    ( hskp11
    | hskp0
    | ~ c0_1(a48) ),
    inference(resolution,[status(thm)],[c_247,c_139]) ).

tcf(c_5321,plain,
    ( hskp11
    | hskp0
    | c1_1(a48) ),
    inference(resolution,[status(thm)],[c_247,c_138]) ).

tcf(c_6582,plain,
    ( hskp22
    | hskp0
    | ~ c0_1(a19) ),
    inference(resolution,[status(thm)],[c_247,c_96]) ).

tcf(c_6592,plain,
    ( hskp22
    | hskp0
    | c2_1(a19) ),
    inference(resolution,[status(thm)],[c_247,c_95]) ).

tcf(c_6602,plain,
    ( hskp22
    | hskp0
    | c1_1(a19) ),
    inference(resolution,[status(thm)],[c_247,c_94]) ).

tcf(c_6939,plain,
    ( hskp22
    | hskp17
    | ~ c3_1(a40) ),
    inference(resolution,[status(thm)],[c_245,c_128]) ).

tcf(c_6949,plain,
    ( hskp22
    | hskp17
    | ~ c0_1(a40) ),
    inference(resolution,[status(thm)],[c_245,c_127]) ).

tcf(c_6959,plain,
    ( hskp22
    | hskp17
    | c2_1(a40) ),
    inference(resolution,[status(thm)],[c_245,c_126]) ).

tcf(c_7560,plain,
    ! [X0: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(a20)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_370,c_100]) ).

tcf(c_7561,plain,
    ( hskp11
    | c0_1(a1)
    | c2_1(a1)
    | ~ c3_1(a20)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_7560]) ).

tcf(c_7577,plain,
    ! [X0: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c2_1(a20)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_370,c_99]) ).

tcf(c_7578,plain,
    ( hskp11
    | c0_1(a1)
    | c2_1(a1)
    | ~ c2_1(a20)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_7577]) ).

tcf(c_7594,plain,
    ! [X0: $i] :
      ( hskp11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c0_1(a20)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_370,c_98]) ).

tcf(c_7595,plain,
    ( hskp11
    | c0_1(a1)
    | c2_1(a1)
    | ~ c0_1(a20)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_7594]) ).

tcf(c_7662,plain,
    ( hskp21
    | hskp11
    | ~ c3_1(a20) ),
    inference(resolution,[status(thm)],[c_248,c_100]) ).

tcf(c_7672,plain,
    ( hskp21
    | hskp11
    | ~ c2_1(a20) ),
    inference(resolution,[status(thm)],[c_248,c_99]) ).

tcf(c_7682,plain,
    ( hskp21
    | hskp11
    | ~ c0_1(a20) ),
    inference(resolution,[status(thm)],[c_248,c_98]) ).

tcf(c_15746,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_506]) ).

tcf(c_15747,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_506]) ).

tcf(c_15748,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_506]) ).

tcf(c_15750,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_502]) ).

tcf(c_15751,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_502]) ).

tcf(c_15752,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_502]) ).

tcf(c_15753,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_15754,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_508]) ).

tcf(c_15755,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_508]) ).

tcf(c_15756,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

tcf(c_15757,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_498]) ).

tcf(c_15760,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_496]) ).

tcf(c_15761,negated_conjecture,
    ( iPr_def_20
    | iPr_def_14
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_15762,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_494]) ).

tcf(c_15763,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_494]) ).

tcf(c_15764,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_494]) ).

tcf(c_15765,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_15766,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_492]) ).

tcf(c_15767,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c3_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_492]) ).

tcf(c_15768,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_492]) ).

tcf(c_15769,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

tcf(c_15770,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_504]) ).

tcf(c_15773,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_488]) ).

tcf(c_15774,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_488]) ).

tcf(c_15775,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_15776,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_486]) ).

tcf(c_15779,negated_conjecture,
    ( iPr_def_31
    | iPr_def_18
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_15780,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_480]) ).

tcf(c_15781,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_15782,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_478]) ).

tcf(c_15783,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_15784,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_15785,negated_conjecture,
    ( iPr_def_24
    | iPr_def_21
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_15786,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_472]) ).

tcf(c_15787,negated_conjecture,
    ( iPr_def_34
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_15788,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_470]) ).

tcf(c_15789,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_470]) ).

tcf(c_15790,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_470]) ).

tcf(c_15791,negated_conjecture,
    ( iPr_def_37
    | iPr_def_36
    | iPr_def_35 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

tcf(c_15792,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_468]) ).

tcf(c_15793,negated_conjecture,
    ( iPr_def_38
    | iPr_def_24
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_15802,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

tcf(c_15806,negated_conjecture,
    ( iPr_def_24
    | iPr_def_15
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

tcf(c_15807,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_445]) ).

tcf(c_15808,negated_conjecture,
    ( iPr_def_42
    | iPr_def_21
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_15814,negated_conjecture,
    ( iPr_def_42
    | iPr_def_35
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_15815,negated_conjecture,
    ( iPr_def_24
    | iPr_def_12
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

tcf(c_15816,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

tcf(c_15817,negated_conjecture,
    ( iPr_def_35
    | iPr_def_10
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

tcf(c_15818,negated_conjecture,
    ( iPr_def_24
    | iPr_def_11
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_15819,negated_conjecture,
    ( iPr_def_42
    | iPr_def_38
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_15820,negated_conjecture,
    ( iPr_def_38
    | iPr_def_32
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_15821,negated_conjecture,
    ( iPr_def_37
    | iPr_def_33
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

tcf(c_15823,negated_conjecture,
    ( iPr_def_36
    | iPr_def_13
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_15824,negated_conjecture,
    ( iPr_def_36
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_15826,negated_conjecture,
    ( iPr_def_42
    | hskp17
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

tcf(c_15827,negated_conjecture,
    ( iPr_def_42
    | hskp13
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_15834,negated_conjecture,
    ( iPr_def_20
    | hskp4
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_379]) ).

tcf(c_15836,negated_conjecture,
    ( iPr_def_33
    | hskp10
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_373]) ).

tcf(c_15838,negated_conjecture,
    ( iPr_def_33
    | hskp13
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

tcf(c_15839,negated_conjecture,
    ( iPr_def_25
    | hskp15
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

tcf(c_15841,negated_conjecture,
    ( iPr_def_35
    | hskp11
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

tcf(c_15845,negated_conjecture,
    ( iPr_def_34
    | hskp27
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_346]) ).

tcf(c_15861,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ iPr_def_33
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15782]) ).

tcf(c_15868,plain,
    ( c0_1(a1)
    | ~ iPr_def_12
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15748]) ).

tcf(c_15869,plain,
    ( c2_1(a1)
    | ~ iPr_def_14
    | ~ c0_1(a1)
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_15751]) ).

tcf(c_15872,plain,
    ( c2_1(a1)
    | ~ iPr_def_23
    | ~ c0_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15764]) ).

tcf(c_15875,plain,
    ( c2_1(a1)
    | ~ iPr_def_32
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15780]) ).

tcf(c_15878,plain,
    ( ~ iPr_def_15
    | ~ c0_1(a1)
    | ~ c3_1(a1)
    | ~ c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15752]) ).

tcf(c_15887,plain,
    ( c1_1(a5)
    | ~ iPr_def_10
    | ~ c2_1(a5)
    | ~ c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_15889,plain,
    ( c1_1(a47)
    | ~ iPr_def_10
    | ~ c2_1(a47)
    | ~ c3_1(a47) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_15897,plain,
    ( c3_1(a5)
    | c1_1(a5)
    | ~ iPr_def_13
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15750]) ).

tcf(c_15898,plain,
    ( c3_1(a40)
    | c1_1(a40)
    | ~ iPr_def_13
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15750]) ).

tcf(c_15908,plain,
    ( c0_1(a7)
    | c2_1(a7)
    | c1_1(a7)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15757]) ).

tcf(c_15909,plain,
    ( c0_1(a15)
    | c2_1(a15)
    | c1_1(a15)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15757]) ).

tcf(c_15910,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | c1_1(a22)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15757]) ).

tcf(c_15918,plain,
    ( c0_1(a47)
    | ~ iPr_def_22
    | ~ c2_1(a47)
    | ~ c3_1(a47) ),
    inference(instantiation,[status(thm)],[c_15763]) ).

tcf(c_15919,plain,
    ( c0_1(a13)
    | ~ iPr_def_22
    | ~ c2_1(a13)
    | ~ c3_1(a13) ),
    inference(instantiation,[status(thm)],[c_15763]) ).

tcf(c_15920,plain,
    ( c2_1(a2)
    | c3_1(a2)
    | ~ iPr_def_24
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15766]) ).

tcf(c_15925,plain,
    ( c3_1(a2)
    | c1_1(a2)
    | ~ iPr_def_35
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15788]) ).

tcf(c_15939,plain,
    ( c3_1(a7)
    | c1_1(a7)
    | ~ iPr_def_13
    | ~ c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_15750]) ).

tcf(c_15953,plain,
    ( c0_1(a3)
    | c1_1(a3)
    | ~ iPr_def_21
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

tcf(c_15954,plain,
    ( c0_1(a14)
    | c1_1(a14)
    | ~ iPr_def_21
    | ~ c3_1(a14) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

tcf(c_15955,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ iPr_def_21
    | ~ c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

tcf(c_15960,plain,
    ( c2_1(a3)
    | c1_1(a3)
    | ~ iPr_def_29
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_15773]) ).

tcf(c_15962,plain,
    ( c2_1(a22)
    | c1_1(a22)
    | ~ iPr_def_29
    | ~ c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_15773]) ).

tcf(c_15992,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ iPr_def_21
    | ~ c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

tcf(c_16009,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a43)
    | ~ c2_1(a43)
    | ~ c1_1(a43) ),
    inference(instantiation,[status(thm)],[c_15768]) ).

tcf(c_16010,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a73)
    | ~ c2_1(a73)
    | ~ c1_1(a73) ),
    inference(instantiation,[status(thm)],[c_15768]) ).

tcf(c_16014,plain,
    ( ~ iPr_def_26
    | ~ c0_1(a13)
    | ~ c2_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15768]) ).

tcf(c_16017,plain,
    ( c0_1(a5)
    | c1_1(a5)
    | ~ iPr_def_20
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15760]) ).

tcf(c_16018,plain,
    ( c0_1(a7)
    | c1_1(a7)
    | ~ iPr_def_20
    | ~ c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_15760]) ).

tcf(c_16020,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ iPr_def_20
    | ~ c2_1(a22) ),
    inference(instantiation,[status(thm)],[c_15760]) ).

tcf(c_16025,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ iPr_def_36
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15789]) ).

tcf(c_16043,plain,
    ( c0_1(a18)
    | c2_1(a18)
    | c1_1(a18)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_15757]) ).

tcf(c_16045,plain,
    ( c1_1(a28)
    | ~ iPr_def_10
    | ~ c2_1(a28)
    | ~ c3_1(a28) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16047,plain,
    ( c0_1(a28)
    | c1_1(a28)
    | ~ iPr_def_21
    | ~ c3_1(a28) ),
    inference(instantiation,[status(thm)],[c_15762]) ).

tcf(c_16068,plain,
    ( c3_1(a33)
    | c1_1(a33)
    | ~ iPr_def_35
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_15788]) ).

tcf(c_16069,plain,
    ( c2_1(a33)
    | c3_1(a33)
    | ~ iPr_def_24
    | ~ c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_15766]) ).

tcf(c_16072,plain,
    ( c3_1(a33)
    | c1_1(a33)
    | ~ iPr_def_13
    | ~ c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_15750]) ).

tcf(c_16079,plain,
    ( c0_1(a18)
    | c2_1(a18)
    | c3_1(a18)
    | ~ iPr_def_34 ),
    inference(instantiation,[status(thm)],[c_15786]) ).

tcf(c_16080,plain,
    ( c0_1(a20)
    | c2_1(a20)
    | c3_1(a20)
    | ~ iPr_def_34 ),
    inference(instantiation,[status(thm)],[c_15786]) ).

tcf(c_16090,plain,
    ( c2_1(a2)
    | c1_1(a2)
    | ~ iPr_def_27
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15770]) ).

tcf(c_16095,plain,
    ( c2_1(a18)
    | c1_1(a18)
    | ~ iPr_def_27
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_15770]) ).

tcf(c_16115,plain,
    ( c2_1(a14)
    | ~ iPr_def_32
    | ~ c3_1(a14)
    | ~ c1_1(a14) ),
    inference(instantiation,[status(thm)],[c_15780]) ).

tcf(c_16126,plain,
    ( c2_1(a18)
    | c3_1(a18)
    | ~ iPr_def_24
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_15766]) ).

tcf(c_16140,plain,
    ( c0_1(a5)
    | c3_1(a5)
    | ~ iPr_def_25
    | ~ c2_1(a5) ),
    inference(instantiation,[status(thm)],[c_15767]) ).

tcf(c_16145,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | ~ iPr_def_25
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15767]) ).

tcf(c_16146,plain,
    ( c0_1(a48)
    | c3_1(a48)
    | ~ iPr_def_25
    | ~ c2_1(a48) ),
    inference(instantiation,[status(thm)],[c_15767]) ).

tcf(c_16149,plain,
    ( c3_1(a18)
    | c1_1(a18)
    | ~ iPr_def_35
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_15788]) ).

tcf(c_16154,plain,
    ( c0_1(a19)
    | ~ iPr_def_42
    | ~ c2_1(a19)
    | ~ c1_1(a19) ),
    inference(instantiation,[status(thm)],[c_15807]) ).

tcf(c_16156,plain,
    ( c0_1(a40)
    | ~ iPr_def_42
    | ~ c2_1(a40)
    | ~ c1_1(a40) ),
    inference(instantiation,[status(thm)],[c_15807]) ).

tcf(c_16157,plain,
    ( c0_1(a48)
    | ~ iPr_def_42
    | ~ c2_1(a48)
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15807]) ).

tcf(c_16176,plain,
    ( c2_1(a2)
    | c1_1(a2)
    | ~ iPr_def_29
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_15773]) ).

tcf(c_16301,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | ~ iPr_def_37
    | ~ c1_1(a40) ),
    inference(instantiation,[status(thm)],[c_15790]) ).

tcf(c_16302,plain,
    ( c0_1(a48)
    | c3_1(a48)
    | ~ iPr_def_37
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15790]) ).

tcf(c_16303,plain,
    ( c2_1(a2)
    | ~ iPr_def_14
    | ~ c0_1(a2)
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_15751]) ).

tcf(c_16304,plain,
    ( c2_1(a3)
    | ~ iPr_def_14
    | ~ c0_1(a3)
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_15751]) ).

tcf(c_16326,plain,
    ( c1_1(a2)
    | ~ iPr_def_31
    | ~ c0_1(a2)
    | ~ c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_15776]) ).

tcf(c_16364,plain,
    ( c3_1(a40)
    | ~ iPr_def_11
    | ~ c2_1(a40)
    | ~ c1_1(a40) ),
    inference(instantiation,[status(thm)],[c_15747]) ).

tcf(c_16366,plain,
    ( c3_1(a48)
    | ~ iPr_def_11
    | ~ c2_1(a48)
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15747]) ).

tcf(c_16388,plain,
    ( c1_1(a28)
    | ~ iPr_def_16
    | ~ c0_1(a28)
    | ~ c2_1(a28) ),
    inference(instantiation,[status(thm)],[c_15754]) ).

tcf(c_16393,plain,
    ( c0_1(a8)
    | c3_1(a8)
    | ~ iPr_def_37
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15790]) ).

tcf(c_16404,plain,
    ( c0_1(a47)
    | ~ iPr_def_42
    | ~ c2_1(a47)
    | ~ c1_1(a47) ),
    inference(instantiation,[status(thm)],[c_15807]) ).

tcf(c_16406,plain,
    ( c0_1(a13)
    | ~ iPr_def_42
    | ~ c2_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15807]) ).

tcf(c_16417,plain,
    ( c2_1(a43)
    | ~ iPr_def_23
    | ~ c0_1(a43)
    | ~ c1_1(a43) ),
    inference(instantiation,[status(thm)],[c_15764]) ).

tcf(c_16424,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ iPr_def_24
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_15766]) ).

tcf(c_16437,plain,
    ( ~ iPr_def_17
    | ~ c0_1(a43)
    | ~ c1_1(a43) ),
    inference(instantiation,[status(thm)],[c_15755]) ).

tcf(c_16444,plain,
    ( c3_1(a8)
    | ~ iPr_def_30
    | ~ c0_1(a8)
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15774]) ).

tcf(c_16476,plain,
    ( c0_1(a7)
    | c3_1(a7)
    | c1_1(a7)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15792]) ).

tcf(c_16478,plain,
    ( c0_1(a18)
    | c3_1(a18)
    | c1_1(a18)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15792]) ).

tcf(c_16479,plain,
    ( c0_1(a20)
    | c3_1(a20)
    | c1_1(a20)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15792]) ).

tcf(c_16480,plain,
    ( c0_1(a40)
    | c3_1(a40)
    | c1_1(a40)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_15792]) ).

tcf(c_16549,plain,
    ( c0_1(a40)
    | c1_1(a40)
    | ~ iPr_def_20
    | ~ c2_1(a40) ),
    inference(instantiation,[status(thm)],[c_15760]) ).

tcf(c_16637,plain,
    ( c3_1(a73)
    | c1_1(a73)
    | ~ iPr_def_13
    | ~ c2_1(a73) ),
    inference(instantiation,[status(thm)],[c_15750]) ).

tcf(c_16658,plain,
    ( c2_1(a48)
    | c3_1(a48)
    | ~ iPr_def_36
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15789]) ).

tcf(c_16670,plain,
    ( c0_1(a8)
    | c2_1(a8)
    | ~ iPr_def_33
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15782]) ).

tcf(c_16672,plain,
    ( c0_1(a48)
    | c2_1(a48)
    | ~ iPr_def_33
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_15782]) ).

tcf(c_16677,plain,
    ( hskp19
    | c2_1(a20)
    | c3_1(a20)
    | ~ c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_16680,plain,
    ( hskp19
    | c2_1(a48)
    | c3_1(a48)
    | ~ c1_1(a48) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_16743,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16680,c_16677,c_16672,c_16670,c_16658,c_16637,c_16549,c_16480,c_16479,c_16478,c_16476,c_16444,c_16437,c_16424,c_16417,c_16406,c_16404,c_16393,c_16388,c_16366,c_16364,c_16326,c_16304,c_16303,c_16302,c_16301,c_16176,c_16157,c_16156,c_16154,c_16149,c_16146,c_16145,c_16140,c_16126,c_16115,c_16095,c_16090,c_16080,c_16079,c_16072,c_16068,c_16069,c_16045,c_16047,c_16043,c_16025,c_16020,c_16018,c_16017,c_16014,c_16010,c_16009,c_15992,c_15962,c_15960,c_15955,c_15954,c_15953,c_15939,c_15925,c_15920,c_15919,c_15918,c_15910,c_15909,c_15908,c_15898,c_15897,c_15889,c_15887,c_15878,c_15875,c_15872,c_15869,c_15868,c_15861,c_15845,c_15841,c_15839,c_15838,c_15836,c_15834,c_15827,c_15826,c_15824,c_15823,c_15821,c_15820,c_15819,c_15818,c_15817,c_15816,c_15815,c_15814,c_15808,c_15806,c_15802,c_15793,c_15791,c_15787,c_15785,c_15784,c_15783,c_15781,c_15779,c_15775,c_15769,c_15765,c_15761,c_15756,c_15753,c_7682,c_7672,c_7662,c_7595,c_7578,c_7561,c_6959,c_6949,c_6939,c_6602,c_6592,c_6582,c_5321,c_5311,c_5301,c_5114,c_5104,c_5094,c_3758,c_3751,c_3744,c_3017,c_3007,c_2997,c_2268,c_2251,c_2135,c_2121,c_2107,c_52,c_55,c_56,c_59,c_60,c_63,c_64,c_66,c_67,c_68,c_71,c_72,c_83,c_84,c_86,c_87,c_88,c_90,c_91,c_92,c_96,c_103,c_104,c_112,c_119,c_120,c_127,c_128,c_136,c_139,c_140,c_50,c_51,c_54,c_58,c_62,c_70,c_82,c_94,c_95,c_102,c_110,c_111,c_118,c_126,c_130,c_131,c_134,c_135,c_138,c_158,c_159,c_160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN500+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n015.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 01:36:41 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 1.43/1.29  % SZS status Started for theBenchmark.p
% 1.43/1.29  % SZS status Theorem for theBenchmark.p
% 1.43/1.29  
% 1.43/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.43/1.29  
% 1.43/1.29  % ------  iProver source info
% 1.43/1.29  
% 1.43/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.43/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.43/1.29  % git: non_committed_changes: false
% 1.43/1.29  
% 1.43/1.29  % ------ Parsing...
% 1.43/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.43/1.29  % 
% 1.43/1.29  
% 1.43/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.43/1.29  
% 1.43/1.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.43/1.29   gs_s  sp: 133 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.43/1.29  % ------ Proving...
% 1.43/1.29  % ------ Problem Properties 
% 1.43/1.29  
% 1.43/1.29  % 
% 1.43/1.29  % clauses                               201
% 1.43/1.29  % conjectures                           198
% 1.43/1.29  % EPR                                   201
% 1.43/1.29  % Horn                                  106
% 1.43/1.29  % unary                                 0
% 1.43/1.29  % binary                                88
% 1.43/1.29  % lits                                  549
% 1.43/1.29  % lits eq                               0
% 1.43/1.29  % fd_pure                               0
% 1.43/1.29  % fd_pseudo                             0
% 1.43/1.29  % fd_cond                               0
% 1.43/1.29  % fd_pseudo_cond                        0
% 1.43/1.29  % AC symbols                            0
% 1.43/1.29  
% 1.43/1.29  % ------ Schedule EPR non Horn non eq is on
% 1.43/1.29  
% 1.43/1.29  % ------ no equalities: superposition off 
% 1.43/1.29  
% 1.43/1.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.43/1.29  
% 1.43/1.29  
% 1.43/1.29  % ------ 
% 1.43/1.29  % Current options:
% 1.43/1.29  % ------ 
% 1.43/1.29  
% 1.43/1.29  
% 1.43/1.29  % 
% 1.43/1.29  
% 1.43/1.29  % ------ Proving...
% 1.43/1.29  % 
% 1.43/1.29  
% 1.43/1.29  % SZS status Theorem for theBenchmark.p
% 1.43/1.29  
% 1.43/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.58/1.30  
% 4.58/1.30  
%------------------------------------------------------------------------------