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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN485+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 : Tue Sep 29 01:57:00 PM UTC 2026

% Result   : Theorem 0.65s 1.01s
% Output   : Refutation 3.10s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a2068)
          & ~ c0_1(a2068)
          & ~ c2_1(a2068) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a2070)
          & c3_1(a2070)
          & ~ c2_1(a2070) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a2071)
          & c2_1(a2071)
          & ~ c3_1(a2071) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a2072)
          & ~ c1_1(a2072)
          & ~ c3_1(a2072) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a2074)
          & c3_1(a2074)
          & ~ c2_1(a2074) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a2076)
          & c3_1(a2076)
          & ~ c0_1(a2076) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2078)
          & ~ c1_1(a2078)
          & ~ c2_1(a2078) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a2079)
          & c1_1(a2079)
          & ~ c3_1(a2079) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a2082)
          & c2_1(a2082)
          & ~ c0_1(a2082) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2084)
          & c3_1(a2084)
          & ~ c1_1(a2084) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a2087)
          & ~ c1_1(a2087)
          & ~ c3_1(a2087) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a2093)
          & ~ c1_1(a2093)
          & ~ c3_1(a2093) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a2095)
          & ~ c0_1(a2095)
          & ~ c2_1(a2095) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a2096)
          & ~ c0_1(a2096)
          & ~ c1_1(a2096) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a2097)
          & ~ c1_1(a2097)
          & ~ c2_1(a2097) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a2099)
          & ~ c2_1(a2099)
          & ~ c3_1(a2099) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c3_1(a2104)
          & ~ c0_1(a2104)
          & ~ c1_1(a2104) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a2110)
          & c2_1(a2110)
          & ~ c1_1(a2110) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a2116)
          & ~ c2_1(a2116)
          & ~ c3_1(a2116) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a2122)
          & ~ c0_1(a2122)
          & ~ c3_1(a2122) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c1_1(a2130)
          & ~ c2_1(a2130)
          & ~ c3_1(a2130) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2136)
          & c1_1(a2136)
          & ~ c2_1(a2136) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a2140)
          & c3_1(a2140)
          & ~ c0_1(a2140) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2149)
          & c3_1(a2149)
          & ~ c1_1(a2149) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2160)
          & c2_1(a2160)
          & ~ c3_1(a2160) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a2172)
          & ~ c0_1(a2172)
          & ~ c3_1(a2172) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2069)
          & c2_1(a2069)
          & c3_1(a2069) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a2073)
          & c1_1(a2073)
          & c3_1(a2073) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2075)
          & c1_1(a2075)
          & c2_1(a2075) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a2077)
          & c2_1(a2077)
          & c3_1(a2077) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c1_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp26
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp2
        | hskp3 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp27 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c3_1(X10)
              | ~ c2_1(X10) ) )
        | hskp4 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | hskp28
        | hskp5 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c1_1(X14)
              | ~ c0_1(X14)
              | ~ c2_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c0_1(X16)
              | ~ c1_1(X16) ) )
        | hskp29 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c3_1(X21)
              | ~ c1_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) )
        | hskp7 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | hskp5
        | hskp4 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | c3_1(X29)
              | ~ c2_1(X29) ) )
        | hskp8 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c0_1(X31)
              | ~ c3_1(X31) ) )
        | hskp2 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c0_1(X33)
              | ~ c1_1(X33) ) )
        | hskp9 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | ~ c0_1(X35)
              | ~ c3_1(X35) ) )
        | hskp9 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp10 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp27
        | hskp7 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c2_1(X45)
              | ~ c3_1(X45) ) )
        | hskp4 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp8 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | hskp1 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c0_1(X51) ) )
        | hskp11 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp10 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c0_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | hskp12
        | hskp13 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | hskp14 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c3_1(X61)
              | ~ c2_1(X61) ) )
        | hskp11 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp15 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c0_1(X66)
              | ~ c1_1(X66) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c1_1(X67)
              | ~ c3_1(X67) ) )
        | hskp28
        | hskp4 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | hskp0 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp27 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp16 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | ~ c1_1(X74)
              | ~ c2_1(X74) ) )
        | hskp26 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp27
        | hskp29 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp11
        | hskp0 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | hskp17
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp26 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | hskp16 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp8 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp26
        | hskp18 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp26 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c1_1(X88)
              | ~ c3_1(X88) ) )
        | hskp3 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp1
        | hskp8 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp11
        | hskp19 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp17 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) )
        | hskp8 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp26
        | hskp5 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | hskp11
        | hskp10 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | hskp3 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | ~ c2_1(X103) ) )
        | hskp20 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp7
        | hskp15 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp11 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp5 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp12 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | hskp21
        | hskp16 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp17
        | hskp20 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | hskp22 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c0_1(X114)
              | ~ c3_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp4 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c3_1(X116) ) )
        | hskp7
        | hskp16 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | hskp7
        | hskp4 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | ~ c3_1(X118) ) )
        | hskp17
        | hskp22 )
      & ( hskp27
        | hskp23
        | hskp5 )
      & ( hskp7
        | hskp23
        | hskp15 )
      & ( hskp17
        | hskp2 )
      & ( hskp17
        | hskp23
        | hskp1 )
      & ( hskp23
        | hskp24
        | hskp5 )
      & ( hskp6
        | hskp5
        | hskp18 )
      & ( hskp29
        | hskp5
        | hskp3 )
      & ( hskp24
        | hskp12
        | hskp10 )
      & ( hskp12
        | hskp25
        | hskp18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a2068)
            & ~ c0_1(a2068)
            & ~ c2_1(a2068) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a2070)
            & c3_1(a2070)
            & ~ c2_1(a2070) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a2071)
            & c2_1(a2071)
            & ~ c3_1(a2071) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a2072)
            & ~ c1_1(a2072)
            & ~ c3_1(a2072) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a2074)
            & c3_1(a2074)
            & ~ c2_1(a2074) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a2076)
            & c3_1(a2076)
            & ~ c0_1(a2076) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2078)
            & ~ c1_1(a2078)
            & ~ c2_1(a2078) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a2079)
            & c1_1(a2079)
            & ~ c3_1(a2079) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a2082)
            & c2_1(a2082)
            & ~ c0_1(a2082) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2084)
            & c3_1(a2084)
            & ~ c1_1(a2084) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a2087)
            & ~ c1_1(a2087)
            & ~ c3_1(a2087) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2093)
            & ~ c1_1(a2093)
            & ~ c3_1(a2093) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a2095)
            & ~ c0_1(a2095)
            & ~ c2_1(a2095) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a2096)
            & ~ c0_1(a2096)
            & ~ c1_1(a2096) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a2097)
            & ~ c1_1(a2097)
            & ~ c2_1(a2097) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a2099)
            & ~ c2_1(a2099)
            & ~ c3_1(a2099) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c3_1(a2104)
            & ~ c0_1(a2104)
            & ~ c1_1(a2104) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a2110)
            & c2_1(a2110)
            & ~ c1_1(a2110) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a2116)
            & ~ c2_1(a2116)
            & ~ c3_1(a2116) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a2122)
            & ~ c0_1(a2122)
            & ~ c3_1(a2122) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c1_1(a2130)
            & ~ c2_1(a2130)
            & ~ c3_1(a2130) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2136)
            & c1_1(a2136)
            & ~ c2_1(a2136) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a2140)
            & c3_1(a2140)
            & ~ c0_1(a2140) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2149)
            & c3_1(a2149)
            & ~ c1_1(a2149) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2160)
            & c2_1(a2160)
            & ~ c3_1(a2160) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a2172)
            & ~ c0_1(a2172)
            & ~ c3_1(a2172) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2069)
            & c2_1(a2069)
            & c3_1(a2069) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a2073)
            & c1_1(a2073)
            & c3_1(a2073) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2075)
            & c1_1(a2075)
            & c2_1(a2075) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a2077)
            & c2_1(a2077)
            & c3_1(a2077) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp26
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp2
          | hskp3 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp27 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c3_1(X10)
                | ~ c2_1(X10) ) )
          | hskp4 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | hskp28
          | hskp5 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c1_1(X14)
                | ~ c0_1(X14)
                | ~ c2_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c0_1(X16)
                | ~ c1_1(X16) ) )
          | hskp29 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c3_1(X21)
                | ~ c1_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp7 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | hskp5
          | hskp4 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | c3_1(X29)
                | ~ c2_1(X29) ) )
          | hskp8 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c0_1(X31)
                | ~ c3_1(X31) ) )
          | hskp2 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c0_1(X33)
                | ~ c1_1(X33) ) )
          | hskp9 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | hskp9 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp10 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp27
          | hskp7 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | hskp4 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp8 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp1 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c0_1(X51) ) )
          | hskp11 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp10 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c0_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | hskp12
          | hskp13 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | hskp14 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c3_1(X61)
                | ~ c2_1(X61) ) )
          | hskp11 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp15 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c0_1(X66)
                | ~ c1_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c3_1(X67) ) )
          | hskp28
          | hskp4 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | hskp0 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp27 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp16 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c1_1(X74)
                | ~ c2_1(X74) ) )
          | hskp26 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp27
          | hskp29 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp11
          | hskp0 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | hskp17
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp26 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | hskp16 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp8 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp26
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp26 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c1_1(X88)
                | ~ c3_1(X88) ) )
          | hskp3 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp1
          | hskp8 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp11
          | hskp19 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp17 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) )
          | hskp8 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp26
          | hskp5 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp11
          | hskp10 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp3 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp20 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp7
          | hskp15 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp11 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp5 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp12 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp21
          | hskp16 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp17
          | hskp20 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | hskp22 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c0_1(X114)
                | ~ c3_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp4 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c3_1(X116) ) )
          | hskp7
          | hskp16 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | hskp7
          | hskp4 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | hskp17
          | hskp22 )
        & ( hskp27
          | hskp23
          | hskp5 )
        & ( hskp7
          | hskp23
          | hskp15 )
        & ( hskp17
          | hskp2 )
        & ( hskp17
          | hskp23
          | hskp1 )
        & ( hskp23
          | hskp24
          | hskp5 )
        & ( hskp6
          | hskp5
          | hskp18 )
        & ( hskp29
          | hskp5
          | hskp3 )
        & ( hskp24
          | hskp12
          | hskp10 )
        & ( hskp12
          | hskp25
          | hskp18 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a2068)
        & ~ c0_1(a2068)
        & ~ c2_1(a2068) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2070)
        & c3_1(a2070)
        & ~ c2_1(a2070) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a2071)
        & c2_1(a2071)
        & ~ c3_1(a2071) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2072)
        & ~ c1_1(a2072)
        & ~ c3_1(a2072) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a2074)
        & c3_1(a2074)
        & ~ c2_1(a2074) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a2076)
        & c3_1(a2076)
        & ~ c0_1(a2076) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2078)
        & ~ c1_1(a2078)
        & ~ c2_1(a2078) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a2079)
        & c1_1(a2079)
        & ~ c3_1(a2079) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2082)
        & c2_1(a2082)
        & ~ c0_1(a2082) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2084)
        & c3_1(a2084)
        & ~ c1_1(a2084) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a2087)
        & ~ c1_1(a2087)
        & ~ c3_1(a2087) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ~ c2_1(a2095) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a2096)
        & ~ c0_1(a2096)
        & ~ c1_1(a2096) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2097)
        & ~ c1_1(a2097)
        & ~ c2_1(a2097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2099)
        & ~ c2_1(a2099)
        & ~ c3_1(a2099) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ~ c1_1(a2104) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a2110)
        & c2_1(a2110)
        & ~ c1_1(a2110) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2122)
        & ~ c0_1(a2122)
        & ~ c3_1(a2122) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a2130)
        & ~ c2_1(a2130)
        & ~ c3_1(a2130) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2136)
        & c1_1(a2136)
        & ~ c2_1(a2136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2140)
        & c3_1(a2140)
        & ~ c0_1(a2140) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2160)
        & c2_1(a2160)
        & ~ c3_1(a2160) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2172)
        & ~ c0_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2069)
        & c2_1(a2069)
        & c3_1(a2069) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2073)
        & c1_1(a2073)
        & c3_1(a2073) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2075)
        & c1_1(a2075)
        & c2_1(a2075) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2077)
        & c2_1(a2077)
        & c3_1(a2077) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | c2_1(X2)
            | c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp26
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | hskp27 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c3_1(X10)
            | ~ c2_1(X10) ) )
      | hskp4 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | hskp28
      | hskp5 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c1_1(X14)
            | ~ c0_1(X14)
            | ~ c2_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c0_1(X16)
            | ~ c1_1(X16) ) )
      | hskp29 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | hskp6 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | ~ c2_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | c3_1(X21)
            | ~ c1_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp7 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | c3_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c1_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | hskp5
      | hskp4 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | c3_1(X29)
            | ~ c2_1(X29) ) )
      | hskp8 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c0_1(X31)
            | ~ c3_1(X31) ) )
      | hskp2 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c0_1(X33)
            | ~ c1_1(X33) ) )
      | hskp9 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | ~ c0_1(X35)
            | ~ c3_1(X35) ) )
      | hskp9 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | c3_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) )
      | hskp10 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp27
      | hskp7 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | hskp4 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp8 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | hskp1 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c2_1(X51)
            | ~ c0_1(X51) ) )
      | hskp11 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp10 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c0_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) )
      | hskp12
      | hskp13 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | c3_1(X59) ) )
      | hskp14 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c3_1(X61)
            | ~ c2_1(X61) ) )
      | hskp11 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp15 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | ~ c0_1(X66)
            | ~ c1_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c1_1(X67)
            | ~ c3_1(X67) ) )
      | hskp28
      | hskp4 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | hskp0 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp27 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c2_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c0_1(X72) ) )
      | hskp16 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c1_1(X74)
            | ~ c2_1(X74) ) )
      | hskp26 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c0_1(X75)
            | ~ c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp27
      | hskp29 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp11
      | hskp0 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | c3_1(X77) ) )
      | hskp17
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | hskp26 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | ~ c2_1(X81) ) )
      | hskp16 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp8 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp26
      | hskp18 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp26 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | ~ c1_1(X88)
            | ~ c3_1(X88) ) )
      | hskp3 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) )
      | hskp1
      | hskp8 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | ~ c0_1(X93) ) )
      | hskp11
      | hskp19 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | hskp17 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | c3_1(X97)
            | ~ c1_1(X97) ) )
      | hskp8 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp26
      | hskp5 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c0_1(X99)
            | ~ c3_1(X99) ) )
      | hskp11
      | hskp10 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | ~ c2_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c0_1(X101)
            | ~ c3_1(X101) ) )
      | hskp3 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c1_1(X103)
            | ~ c2_1(X103) ) )
      | hskp20 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp7
      | hskp15 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c1_1(X106)
            | ~ c2_1(X106) ) )
      | hskp11 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | hskp5 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) )
      | hskp12 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | hskp21
      | hskp16 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c0_1(X112)
            | ~ c1_1(X112) ) )
      | hskp17
      | hskp20 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | hskp22 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | ~ c0_1(X114)
            | ~ c3_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | hskp4 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c0_1(X116)
            | ~ c3_1(X116) ) )
      | hskp7
      | hskp16 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c2_1(X117) ) )
      | hskp7
      | hskp4 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c1_1(X118)
            | ~ c3_1(X118) ) )
      | hskp17
      | hskp22 )
    & ( hskp27
      | hskp23
      | hskp5 )
    & ( hskp7
      | hskp23
      | hskp15 )
    & ( hskp17
      | hskp2 )
    & ( hskp17
      | hskp23
      | hskp1 )
    & ( hskp23
      | hskp24
      | hskp5 )
    & ( hskp6
      | hskp5
      | hskp18 )
    & ( hskp29
      | hskp5
      | hskp3 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp25
      | hskp18 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a2068)
        & ~ c0_1(a2068)
        & ~ c2_1(a2068) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2070)
        & c3_1(a2070)
        & ~ c2_1(a2070) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a2071)
        & c2_1(a2071)
        & ~ c3_1(a2071) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2072)
        & ~ c1_1(a2072)
        & ~ c3_1(a2072) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a2074)
        & c3_1(a2074)
        & ~ c2_1(a2074) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a2076)
        & c3_1(a2076)
        & ~ c0_1(a2076) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2078)
        & ~ c1_1(a2078)
        & ~ c2_1(a2078) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a2079)
        & c1_1(a2079)
        & ~ c3_1(a2079) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2082)
        & c2_1(a2082)
        & ~ c0_1(a2082) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2084)
        & c3_1(a2084)
        & ~ c1_1(a2084) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a2087)
        & ~ c1_1(a2087)
        & ~ c3_1(a2087) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ~ c2_1(a2095) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a2096)
        & ~ c0_1(a2096)
        & ~ c1_1(a2096) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2097)
        & ~ c1_1(a2097)
        & ~ c2_1(a2097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2099)
        & ~ c2_1(a2099)
        & ~ c3_1(a2099) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ~ c1_1(a2104) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a2110)
        & c2_1(a2110)
        & ~ c1_1(a2110) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2122)
        & ~ c0_1(a2122)
        & ~ c3_1(a2122) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a2130)
        & ~ c2_1(a2130)
        & ~ c3_1(a2130) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2136)
        & c1_1(a2136)
        & ~ c2_1(a2136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2140)
        & c3_1(a2140)
        & ~ c0_1(a2140) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2160)
        & c2_1(a2160)
        & ~ c3_1(a2160) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2172)
        & ~ c0_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2069)
        & c2_1(a2069)
        & c3_1(a2069) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2073)
        & c1_1(a2073)
        & c3_1(a2073) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2075)
        & c1_1(a2075)
        & c2_1(a2075) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2077)
        & c2_1(a2077)
        & c3_1(a2077) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp26
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | hskp28
      | hskp5 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c3_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp27
      | hskp29 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp11
      | hskp0 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp17
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp26
      | hskp18 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c1_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp11
      | hskp19 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp26
      | hskp5 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp7
      | hskp15 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp21
      | hskp16 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp17
      | hskp20 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c0_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp17
      | hskp22 )
    & ( hskp27
      | hskp23
      | hskp5 )
    & ( hskp7
      | hskp23
      | hskp15 )
    & ( hskp17
      | hskp2 )
    & ( hskp17
      | hskp23
      | hskp1 )
    & ( hskp23
      | hskp24
      | hskp5 )
    & ( hskp6
      | hskp5
      | hskp18 )
    & ( hskp29
      | hskp5
      | hskp3 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp25
      | hskp18 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a2068)
        & ~ c0_1(a2068)
        & ~ c2_1(a2068) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2070)
        & c3_1(a2070)
        & ~ c2_1(a2070) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a2071)
        & c2_1(a2071)
        & ~ c3_1(a2071) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2072)
        & ~ c1_1(a2072)
        & ~ c3_1(a2072) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a2074)
        & c3_1(a2074)
        & ~ c2_1(a2074) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a2076)
        & c3_1(a2076)
        & ~ c0_1(a2076) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2078)
        & ~ c1_1(a2078)
        & ~ c2_1(a2078) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a2079)
        & c1_1(a2079)
        & ~ c3_1(a2079) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2082)
        & c2_1(a2082)
        & ~ c0_1(a2082) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2084)
        & c3_1(a2084)
        & ~ c1_1(a2084) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a2087)
        & ~ c1_1(a2087)
        & ~ c3_1(a2087) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2093)
        & ~ c1_1(a2093)
        & ~ c3_1(a2093) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2095)
        & ~ c0_1(a2095)
        & ~ c2_1(a2095) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a2096)
        & ~ c0_1(a2096)
        & ~ c1_1(a2096) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a2097)
        & ~ c1_1(a2097)
        & ~ c2_1(a2097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2099)
        & ~ c2_1(a2099)
        & ~ c3_1(a2099) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a2104)
        & ~ c0_1(a2104)
        & ~ c1_1(a2104) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a2110)
        & c2_1(a2110)
        & ~ c1_1(a2110) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a2116)
        & ~ c2_1(a2116)
        & ~ c3_1(a2116) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2122)
        & ~ c0_1(a2122)
        & ~ c3_1(a2122) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a2130)
        & ~ c2_1(a2130)
        & ~ c3_1(a2130) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2136)
        & c1_1(a2136)
        & ~ c2_1(a2136) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2140)
        & c3_1(a2140)
        & ~ c0_1(a2140) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2149)
        & c3_1(a2149)
        & ~ c1_1(a2149) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2160)
        & c2_1(a2160)
        & ~ c3_1(a2160) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2172)
        & ~ c0_1(a2172)
        & ~ c3_1(a2172) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2069)
        & c2_1(a2069)
        & c3_1(a2069) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2073)
        & c1_1(a2073)
        & c3_1(a2073) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2075)
        & c1_1(a2075)
        & c2_1(a2075) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2077)
        & c2_1(a2077)
        & c3_1(a2077) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp26
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | hskp28
      | hskp5 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c1_1(X14)
          | ~ c0_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | c3_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c3_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp27
      | hskp29 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp11
      | hskp0 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp17
      | hskp1 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp26
      | hskp18 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c1_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp11
      | hskp19 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp26
      | hskp5 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X100] :
          ( c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp7
      | hskp15 )
    & ( ! [X105] :
          ( c2_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp21
      | hskp16 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp17
      | hskp20 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c0_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp17
      | hskp22 )
    & ( hskp27
      | hskp23
      | hskp5 )
    & ( hskp7
      | hskp23
      | hskp15 )
    & ( hskp17
      | hskp2 )
    & ( hskp17
      | hskp23
      | hskp1 )
    & ( hskp23
      | hskp24
      | hskp5 )
    & ( hskp6
      | hskp5
      | hskp18 )
    & ( hskp29
      | hskp5
      | hskp3 )
    & ( hskp24
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp25
      | hskp18 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp25
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp6
    | hskp5
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp23
    | hskp24
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp17
    | hskp23
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp17
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X118] :
      ( ~ c0_1(X118)
      | ~ c1_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | hskp17
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X114,X115] :
      ( c2_1(X114)
      | ~ c0_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | c3_1(X115)
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X113] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X108,X107] :
      ( c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X106,X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X102,X103] :
      ( c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X101,X100] :
      ( c1_1(X100)
      | ~ c2_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | ~ c0_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( c1_1(X99)
      | ~ c0_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp11
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X92] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | hskp1
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X90,X91,X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X88,X87] :
      ( c1_1(X87)
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | ~ c1_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X84] :
      ( c1_1(X84)
      | c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp26
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | hskp17
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X73,X74] :
      ( c0_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X70,X69] :
      ( c0_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X68] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X65,X66,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X56,X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c2_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c2_1(X35)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | c3_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | hskp5
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | c3_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c3_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | hskp26
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | c3_1(a2073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp27
    | c1_1(a2073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c0_1(a2073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | c3_1(a2069) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | c2_1(a2069) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | c0_1(a2069) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c3_1(a2172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp25
    | ~ c0_1(a2172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp25
    | c1_1(a2172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c3_1(a2160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | c2_1(a2160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c1_1(a2160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c1_1(a2149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | c3_1(a2149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | c0_1(a2149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c0_1(a2140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | c3_1(a2140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c2_1(a2140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c3_1(a2130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c2_1(a2130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | ~ c1_1(a2130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c3_1(a2116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | ~ c2_1(a2116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c1_1(a2116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | c2_1(a2110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | c0_1(a2110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c3_1(a2099) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | ~ c2_1(a2099) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c1_1(a2096) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | ~ c0_1(a2096) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c2_1(a2095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c1_1(a2095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c3_1(a2093) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | ~ c1_1(a2093) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c0_1(a2093) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c3_1(a2087) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | ~ c1_1(a2087) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c2_1(a2087) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp9
    | ~ c1_1(a2084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp9
    | c3_1(a2084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp9
    | c2_1(a2084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c0_1(a2082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | c2_1(a2082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c1_1(a2082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp6
    | ~ c2_1(a2078) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp6
    | ~ c1_1(a2078) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c0_1(a2078) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c0_1(a2076) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c3_1(a2076) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c1_1(a2076) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | c3_1(a2074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c1_1(a2074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | ~ c1_1(a2072) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp2
    | ~ c3_1(a2071) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp2
    | c2_1(a2071) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp2
    | c0_1(a2071) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c2_1(a2070) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | c3_1(a2070) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c0_1(a2070) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c2_1(a2068) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp0
    | c3_1(a2068) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ! [X2] :
      ( c1_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | sP0 ),
    inference(cnf_transformation,[],[f202_D]) ).

fof(f202_D,definition,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
  <=> ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[general_splitting_component_introduction]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0 ),
    inference(general_splitting,[],[f81,f202_D]) ).

fof(f204,plain,
    ! [X0] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | sP1 ),
    inference(cnf_transformation,[],[f204_D]) ).

fof(f204_D,definition,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
  <=> ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[general_splitting_component_introduction]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f203,f204_D]) ).

fof(f206,plain,
    ! [X3] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | sP2 ),
    inference(cnf_transformation,[],[f206_D]) ).

fof(f206_D,definition,
    ( ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c2_1(X3) )
  <=> ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[general_splitting_component_introduction]) ).

fof(f207,plain,
    ! [X4] :
      ( ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp0
      | ~ sP2 ),
    inference(general_splitting,[],[f80,f206_D]) ).

fof(f208,plain,
    ! [X8] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | sP3 ),
    inference(cnf_transformation,[],[f208_D]) ).

fof(f208_D,definition,
    ( ! [X8] :
        ( c0_1(X8)
        | c1_1(X8)
        | ~ c2_1(X8) )
  <=> ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[general_splitting_component_introduction]) ).

fof(f209,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp27
      | ~ sP3 ),
    inference(general_splitting,[],[f77,f208_D]) ).

fof(f210,plain,
    ! [X10] :
      ( c1_1(X10)
      | c3_1(X10)
      | ~ c2_1(X10)
      | sP4 ),
    inference(cnf_transformation,[],[f210_D]) ).

fof(f210_D,definition,
    ( ! [X10] :
        ( c1_1(X10)
        | c3_1(X10)
        | ~ c2_1(X10) )
  <=> ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[general_splitting_component_introduction]) ).

fof(f211,plain,
    ! [X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp4
      | ~ sP4 ),
    inference(general_splitting,[],[f76,f210_D]) ).

fof(f218,plain,
    ! [X18] :
      ( c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | sP8 ),
    inference(cnf_transformation,[],[f218_D]) ).

fof(f218_D,definition,
    ( ! [X18] :
        ( c1_1(X18)
        | ~ c0_1(X18)
        | ~ c3_1(X18) )
  <=> ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[general_splitting_component_introduction]) ).

fof(f219,plain,
    ! [X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp6
      | ~ sP8 ),
    inference(general_splitting,[],[f72,f218_D]) ).

fof(f226,plain,
    ! [X26] :
      ( c2_1(X26)
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | sP12 ),
    inference(cnf_transformation,[],[f226_D]) ).

fof(f226_D,definition,
    ( ! [X26] :
        ( c2_1(X26)
        | ~ c1_1(X26)
        | ~ c3_1(X26) )
  <=> ~ sP12 ),
    introduced(definition,[new_symbols(definition,[sP12])],[general_splitting_component_introduction]) ).

fof(f227,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | c3_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP12 ),
    inference(general_splitting,[],[f69,f226_D]) ).

fof(f228,plain,
    ! [X24] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | sP13 ),
    inference(cnf_transformation,[],[f228_D]) ).

fof(f228_D,definition,
    ( ! [X24] :
        ( c0_1(X24)
        | c2_1(X24)
        | c3_1(X24) )
  <=> ~ sP13 ),
    introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).

fof(f229,plain,
    ! [X25] :
      ( ~ ndr1_0
      | c1_1(X25)
      | c3_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP12
      | ~ sP13 ),
    inference(general_splitting,[],[f227,f228_D]) ).

fof(f230,plain,
    ! [X28] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | sP14 ),
    inference(cnf_transformation,[],[f230_D]) ).

fof(f230_D,definition,
    ( ! [X28] :
        ( c0_1(X28)
        | c2_1(X28)
        | ~ c1_1(X28) )
  <=> ~ sP14 ),
    introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).

fof(f231,plain,
    ! [X29] :
      ( ~ ndr1_0
      | c1_1(X29)
      | c3_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | hskp8
      | ~ sP14 ),
    inference(general_splitting,[],[f67,f230_D]) ).

fof(f234,plain,
    ! [X32] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | sP16 ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,definition,
    ( ! [X32] :
        ( c0_1(X32)
        | c2_1(X32)
        | ~ c1_1(X32) )
  <=> ~ sP16 ),
    introduced(definition,[new_symbols(definition,[sP16])],[general_splitting_component_introduction]) ).

fof(f235,plain,
    ! [X33] :
      ( ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | hskp9
      | ~ sP16 ),
    inference(general_splitting,[],[f65,f234_D]) ).

fof(f236,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | sP17 ),
    inference(cnf_transformation,[],[f236_D]) ).

fof(f236_D,definition,
    ( ! [X34] :
        ( c0_1(X34)
        | c2_1(X34)
        | ~ c1_1(X34) )
  <=> ~ sP17 ),
    introduced(definition,[new_symbols(definition,[sP17])],[general_splitting_component_introduction]) ).

fof(f237,plain,
    ! [X35] :
      ( ~ ndr1_0
      | c2_1(X35)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | hskp9
      | ~ sP17 ),
    inference(general_splitting,[],[f64,f236_D]) ).

fof(f238,plain,
    ! [X38] :
      ( c2_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | sP18 ),
    inference(cnf_transformation,[],[f238_D]) ).

fof(f238_D,definition,
    ( ! [X38] :
        ( c2_1(X38)
        | c3_1(X38)
        | ~ c1_1(X38) )
  <=> ~ sP18 ),
    introduced(definition,[new_symbols(definition,[sP18])],[general_splitting_component_introduction]) ).

fof(f239,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18 ),
    inference(general_splitting,[],[f63,f238_D]) ).

fof(f240,plain,
    ! [X36] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | sP19 ),
    inference(cnf_transformation,[],[f240_D]) ).

fof(f240_D,definition,
    ( ! [X36] :
        ( c0_1(X36)
        | c2_1(X36)
        | ~ c3_1(X36) )
  <=> ~ sP19 ),
    introduced(definition,[new_symbols(definition,[sP19])],[general_splitting_component_introduction]) ).

fof(f241,plain,
    ! [X37] :
      ( ~ ndr1_0
      | c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP18
      | ~ sP19 ),
    inference(general_splitting,[],[f239,f240_D]) ).

fof(f242,plain,
    ! [X40] :
      ( c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | sP20 ),
    inference(cnf_transformation,[],[f242_D]) ).

fof(f242_D,definition,
    ( ! [X40] :
        ( c1_1(X40)
        | c2_1(X40)
        | ~ c3_1(X40) )
  <=> ~ sP20 ),
    introduced(definition,[new_symbols(definition,[sP20])],[general_splitting_component_introduction]) ).

fof(f243,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp4
      | ~ sP20 ),
    inference(general_splitting,[],[f62,f242_D]) ).

fof(f244,plain,
    ! [X41] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | sP21 ),
    inference(cnf_transformation,[],[f244_D]) ).

fof(f244_D,definition,
    ( ! [X41] :
        ( c0_1(X41)
        | c2_1(X41)
        | ~ c3_1(X41) )
  <=> ~ sP21 ),
    introduced(definition,[new_symbols(definition,[sP21])],[general_splitting_component_introduction]) ).

fof(f245,plain,
    ! [X42] :
      ( ~ ndr1_0
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp10
      | ~ sP21 ),
    inference(general_splitting,[],[f61,f244_D]) ).

fof(f246,plain,
    ! [X44] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | sP22 ),
    inference(cnf_transformation,[],[f246_D]) ).

fof(f246_D,definition,
    ( ! [X44] :
        ( c0_1(X44)
        | c3_1(X44)
        | ~ c1_1(X44) )
  <=> ~ sP22 ),
    introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).

fof(f247,plain,
    ! [X45] :
      ( ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp4
      | ~ sP22 ),
    inference(general_splitting,[],[f59,f246_D]) ).

fof(f250,plain,
    ! [X48] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | sP24 ),
    inference(cnf_transformation,[],[f250_D]) ).

fof(f250_D,definition,
    ( ! [X48] :
        ( c0_1(X48)
        | c3_1(X48)
        | ~ c2_1(X48) )
  <=> ~ sP24 ),
    introduced(definition,[new_symbols(definition,[sP24])],[general_splitting_component_introduction]) ).

fof(f251,plain,
    ! [X49] :
      ( ~ ndr1_0
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | hskp1
      | ~ sP24 ),
    inference(general_splitting,[],[f57,f250_D]) ).

fof(f254,plain,
    ! [X52] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | sP26 ),
    inference(cnf_transformation,[],[f254_D]) ).

fof(f254_D,definition,
    ( ! [X52] :
        ( c0_1(X52)
        | c3_1(X52)
        | ~ c2_1(X52) )
  <=> ~ sP26 ),
    introduced(definition,[new_symbols(definition,[sP26])],[general_splitting_component_introduction]) ).

fof(f255,plain,
    ! [X53] :
      ( ~ ndr1_0
      | c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp10
      | ~ sP26 ),
    inference(general_splitting,[],[f55,f254_D]) ).

fof(f256,plain,
    ! [X56] :
      ( c2_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | sP27 ),
    inference(cnf_transformation,[],[f256_D]) ).

fof(f256_D,definition,
    ( ! [X56] :
        ( c2_1(X56)
        | ~ c1_1(X56)
        | ~ c3_1(X56) )
  <=> ~ sP27 ),
    introduced(definition,[new_symbols(definition,[sP27])],[general_splitting_component_introduction]) ).

fof(f257,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP27 ),
    inference(general_splitting,[],[f54,f256_D]) ).

fof(f258,plain,
    ! [X54] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | sP28 ),
    inference(cnf_transformation,[],[f258_D]) ).

fof(f258_D,definition,
    ( ! [X54] :
        ( c0_1(X54)
        | c3_1(X54)
        | ~ c2_1(X54) )
  <=> ~ sP28 ),
    introduced(definition,[new_symbols(definition,[sP28])],[general_splitting_component_introduction]) ).

fof(f259,plain,
    ! [X55] :
      ( ~ ndr1_0
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP27
      | ~ sP28 ),
    inference(general_splitting,[],[f257,f258_D]) ).

fof(f262,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | sP30 ),
    inference(cnf_transformation,[],[f262_D]) ).

fof(f262_D,definition,
    ( ! [X60] :
        ( c0_1(X60)
        | ~ c1_1(X60)
        | ~ c2_1(X60) )
  <=> ~ sP30 ),
    introduced(definition,[new_symbols(definition,[sP30])],[general_splitting_component_introduction]) ).

fof(f263,plain,
    ! [X61] :
      ( ~ ndr1_0
      | c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp11
      | ~ sP30 ),
    inference(general_splitting,[],[f51,f262_D]) ).

fof(f264,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | sP31 ),
    inference(cnf_transformation,[],[f264_D]) ).

fof(f264_D,definition,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62)
        | ~ c3_1(X62) )
  <=> ~ sP31 ),
    introduced(definition,[new_symbols(definition,[sP31])],[general_splitting_component_introduction]) ).

fof(f265,plain,
    ! [X63] :
      ( ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp15
      | ~ sP31 ),
    inference(general_splitting,[],[f50,f264_D]) ).

fof(f266,plain,
    ! [X65] :
      ( c1_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | sP32 ),
    inference(cnf_transformation,[],[f266_D]) ).

fof(f266_D,definition,
    ( ! [X65] :
        ( c1_1(X65)
        | ~ c0_1(X65)
        | ~ c3_1(X65) )
  <=> ~ sP32 ),
    introduced(definition,[new_symbols(definition,[sP32])],[general_splitting_component_introduction]) ).

fof(f267,plain,
    ! [X66,X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | ~ ndr1_0
      | ~ sP32 ),
    inference(general_splitting,[],[f49,f266_D]) ).

fof(f268,plain,
    ! [X66] :
      ( c2_1(X66)
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | sP33 ),
    inference(cnf_transformation,[],[f268_D]) ).

fof(f268_D,definition,
    ( ! [X66] :
        ( c2_1(X66)
        | ~ c0_1(X66)
        | ~ c1_1(X66) )
  <=> ~ sP33 ),
    introduced(definition,[new_symbols(definition,[sP33])],[general_splitting_component_introduction]) ).

fof(f269,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP32
      | ~ sP33 ),
    inference(general_splitting,[],[f267,f268_D]) ).

fof(f270,plain,
    ! [X70] :
      ( c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | sP34 ),
    inference(cnf_transformation,[],[f270_D]) ).

fof(f270_D,definition,
    ( ! [X70] :
        ( c1_1(X70)
        | ~ c2_1(X70)
        | ~ c3_1(X70) )
  <=> ~ sP34 ),
    introduced(definition,[new_symbols(definition,[sP34])],[general_splitting_component_introduction]) ).

fof(f271,plain,
    ! [X69] :
      ( c0_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp27
      | ~ sP34 ),
    inference(general_splitting,[],[f46,f270_D]) ).

fof(f274,plain,
    ! [X73] :
      ( c0_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | sP36 ),
    inference(cnf_transformation,[],[f274_D]) ).

fof(f274_D,definition,
    ( ! [X73] :
        ( c0_1(X73)
        | ~ c2_1(X73)
        | ~ c3_1(X73) )
  <=> ~ sP36 ),
    introduced(definition,[new_symbols(definition,[sP36])],[general_splitting_component_introduction]) ).

fof(f275,plain,
    ! [X74] :
      ( ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | hskp26
      | ~ sP36 ),
    inference(general_splitting,[],[f44,f274_D]) ).

fof(f282,plain,
    ! [X86] :
      ( c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | sP40 ),
    inference(cnf_transformation,[],[f282_D]) ).

fof(f282_D,definition,
    ( ! [X86] :
        ( c1_1(X86)
        | ~ c2_1(X86)
        | ~ c3_1(X86) )
  <=> ~ sP40 ),
    introduced(definition,[new_symbols(definition,[sP40])],[general_splitting_component_introduction]) ).

fof(f283,plain,
    ! [X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp26
      | ~ sP40 ),
    inference(general_splitting,[],[f36,f282_D]) ).

fof(f284,plain,
    ! [X88] :
      ( c2_1(X88)
      | ~ c1_1(X88)
      | ~ c3_1(X88)
      | sP41 ),
    inference(cnf_transformation,[],[f284_D]) ).

fof(f284_D,definition,
    ( ! [X88] :
        ( c2_1(X88)
        | ~ c1_1(X88)
        | ~ c3_1(X88) )
  <=> ~ sP41 ),
    introduced(definition,[new_symbols(definition,[sP41])],[general_splitting_component_introduction]) ).

fof(f285,plain,
    ! [X87] :
      ( c1_1(X87)
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp3
      | ~ sP41 ),
    inference(general_splitting,[],[f35,f284_D]) ).

fof(f286,plain,
    ! [X90] :
      ( ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X90)
      | sP42 ),
    inference(cnf_transformation,[],[f286_D]) ).

fof(f286_D,definition,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | ~ c1_1(X90)
        | ~ c3_1(X90) )
  <=> ~ sP42 ),
    introduced(definition,[new_symbols(definition,[sP42])],[general_splitting_component_introduction]) ).

fof(f287,plain,
    ! [X91,X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | ~ sP42 ),
    inference(general_splitting,[],[f34,f286_D]) ).

fof(f288,plain,
    ! [X91] :
      ( ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | sP43 ),
    inference(cnf_transformation,[],[f288_D]) ).

fof(f288_D,definition,
    ( ! [X91] :
        ( ~ c0_1(X91)
        | ~ c2_1(X91)
        | ~ c3_1(X91) )
  <=> ~ sP43 ),
    introduced(definition,[new_symbols(definition,[sP43])],[general_splitting_component_introduction]) ).

fof(f289,plain,
    ! [X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ sP42
      | ~ sP43 ),
    inference(general_splitting,[],[f287,f288_D]) ).

fof(f290,plain,
    ! [X94] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | sP44 ),
    inference(cnf_transformation,[],[f290_D]) ).

fof(f290_D,definition,
    ( ! [X94] :
        ( c1_1(X94)
        | ~ c0_1(X94)
        | ~ c3_1(X94) )
  <=> ~ sP44 ),
    introduced(definition,[new_symbols(definition,[sP44])],[general_splitting_component_introduction]) ).

fof(f291,plain,
    ! [X95] :
      ( ~ ndr1_0
      | c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp17
      | ~ sP44 ),
    inference(general_splitting,[],[f31,f290_D]) ).

fof(f294,plain,
    ! [X101] :
      ( c2_1(X101)
      | ~ c0_1(X101)
      | ~ c3_1(X101)
      | sP46 ),
    inference(cnf_transformation,[],[f294_D]) ).

fof(f294_D,definition,
    ( ! [X101] :
        ( c2_1(X101)
        | ~ c0_1(X101)
        | ~ c3_1(X101) )
  <=> ~ sP46 ),
    introduced(definition,[new_symbols(definition,[sP46])],[general_splitting_component_introduction]) ).

fof(f295,plain,
    ! [X100] :
      ( c1_1(X100)
      | ~ c2_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp3
      | ~ sP46 ),
    inference(general_splitting,[],[f27,f294_D]) ).

fof(f296,plain,
    ! [X102] :
      ( c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | sP47 ),
    inference(cnf_transformation,[],[f296_D]) ).

fof(f296_D,definition,
    ( ! [X102] :
        ( c1_1(X102)
        | ~ c2_1(X102)
        | ~ c3_1(X102) )
  <=> ~ sP47 ),
    introduced(definition,[new_symbols(definition,[sP47])],[general_splitting_component_introduction]) ).

fof(f297,plain,
    ! [X103] :
      ( ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | hskp20
      | ~ sP47 ),
    inference(general_splitting,[],[f26,f296_D]) ).

fof(f298,plain,
    ! [X106] :
      ( ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | sP48 ),
    inference(cnf_transformation,[],[f298_D]) ).

fof(f298_D,definition,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106)
        | ~ c2_1(X106) )
  <=> ~ sP48 ),
    introduced(definition,[new_symbols(definition,[sP48])],[general_splitting_component_introduction]) ).

fof(f299,plain,
    ! [X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp11
      | ~ sP48 ),
    inference(general_splitting,[],[f24,f298_D]) ).

fof(f300,plain,
    ! [X108] :
      ( c2_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | sP49 ),
    inference(cnf_transformation,[],[f300_D]) ).

fof(f300_D,definition,
    ( ! [X108] :
        ( c2_1(X108)
        | ~ c1_1(X108)
        | ~ c3_1(X108) )
  <=> ~ sP49 ),
    introduced(definition,[new_symbols(definition,[sP49])],[general_splitting_component_introduction]) ).

fof(f301,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | ~ ndr1_0
      | hskp5
      | ~ sP49 ),
    inference(general_splitting,[],[f23,f300_D]) ).

fof(f302,plain,
    ! [X109] :
      ( c2_1(X109)
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | sP50 ),
    inference(cnf_transformation,[],[f302_D]) ).

fof(f302_D,definition,
    ( ! [X109] :
        ( c2_1(X109)
        | ~ c0_1(X109)
        | ~ c1_1(X109) )
  <=> ~ sP50 ),
    introduced(definition,[new_symbols(definition,[sP50])],[general_splitting_component_introduction]) ).

fof(f303,plain,
    ! [X110] :
      ( ~ ndr1_0
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp12
      | ~ sP50 ),
    inference(general_splitting,[],[f22,f302_D]) ).

fof(f304,plain,
    ! [X114] :
      ( c2_1(X114)
      | ~ c0_1(X114)
      | ~ c3_1(X114)
      | sP51 ),
    inference(cnf_transformation,[],[f304_D]) ).

fof(f304_D,definition,
    ( ! [X114] :
        ( c2_1(X114)
        | ~ c0_1(X114)
        | ~ c3_1(X114) )
  <=> ~ sP51 ),
    introduced(definition,[new_symbols(definition,[sP51])],[general_splitting_component_introduction]) ).

fof(f305,plain,
    ! [X115] :
      ( ~ ndr1_0
      | c3_1(X115)
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ ndr1_0
      | hskp4
      | ~ sP51 ),
    inference(general_splitting,[],[f18,f304_D]) ).

fof(f306,plain,
    ! [X1] :
      ( ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ sP0
      | ~ sP1 ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f307,plain,
    ! [X4] :
      ( ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | hskp0
      | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f308,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp27
      | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f309,plain,
    ! [X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | hskp4
      | ~ sP4 ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f312,plain,
    ! [X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp6
      | ~ sP8 ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f315,plain,
    ! [X25] :
      ( ~ ndr1_0
      | c1_1(X25)
      | c3_1(X25)
      | ~ c2_1(X25)
      | ~ sP12
      | ~ sP13 ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f316,plain,
    ! [X29] :
      ( ~ ndr1_0
      | c1_1(X29)
      | c3_1(X29)
      | ~ c2_1(X29)
      | hskp8
      | ~ sP14 ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f318,plain,
    ! [X33] :
      ( ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | hskp9
      | ~ sP16 ),
    inference(duplicate_literal_removal,[],[f235]) ).

fof(f319,plain,
    ! [X35] :
      ( ~ ndr1_0
      | c2_1(X35)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | hskp9
      | ~ sP17 ),
    inference(duplicate_literal_removal,[],[f237]) ).

fof(f320,plain,
    ! [X37] :
      ( ~ ndr1_0
      | c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ sP18
      | ~ sP19 ),
    inference(duplicate_literal_removal,[],[f241]) ).

fof(f321,plain,
    ! [X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp4
      | ~ sP20 ),
    inference(duplicate_literal_removal,[],[f243]) ).

fof(f322,plain,
    ! [X42] :
      ( ~ ndr1_0
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | hskp10
      | ~ sP21 ),
    inference(duplicate_literal_removal,[],[f245]) ).

fof(f323,plain,
    ! [X45] :
      ( ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | hskp4
      | ~ sP22 ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f325,plain,
    ! [X49] :
      ( ~ ndr1_0
      | c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | hskp1
      | ~ sP24 ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f327,plain,
    ! [X53] :
      ( ~ ndr1_0
      | c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | hskp10
      | ~ sP26 ),
    inference(duplicate_literal_removal,[],[f255]) ).

fof(f328,plain,
    ! [X55] :
      ( ~ ndr1_0
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ c3_1(X55)
      | ~ sP27
      | ~ sP28 ),
    inference(duplicate_literal_removal,[],[f259]) ).

fof(f330,plain,
    ! [X61] :
      ( ~ ndr1_0
      | c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | hskp11
      | ~ sP30 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f331,plain,
    ! [X63] :
      ( ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | hskp15
      | ~ sP31 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f332,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ sP32
      | ~ sP33 ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f333,plain,
    ! [X69] :
      ( c0_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp27
      | ~ sP34 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f335,plain,
    ! [X74] :
      ( ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | hskp26
      | ~ sP36 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f339,plain,
    ! [X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | hskp26
      | ~ sP40 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f340,plain,
    ! [X87] :
      ( c1_1(X87)
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | hskp3
      | ~ sP41 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f341,plain,
    ! [X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ sP42
      | ~ sP43 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f342,plain,
    ! [X95] :
      ( ~ ndr1_0
      | c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | hskp17
      | ~ sP44 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f344,plain,
    ! [X100] :
      ( c1_1(X100)
      | ~ c2_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | hskp3
      | ~ sP46 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f345,plain,
    ! [X103] :
      ( ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | hskp20
      | ~ sP47 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f346,plain,
    ! [X105] :
      ( c2_1(X105)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ ndr1_0
      | hskp11
      | ~ sP48 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f347,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp5
      | ~ sP49 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f348,plain,
    ! [X110] :
      ( ~ ndr1_0
      | c3_1(X110)
      | ~ c1_1(X110)
      | ~ c2_1(X110)
      | hskp12
      | ~ sP50 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f349,plain,
    ! [X115] :
      ( ~ ndr1_0
      | c3_1(X115)
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | hskp4
      | ~ sP51 ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f351,definition,
    ( spl52_1
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).

fof(f355,definition,
    ( spl52_2
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).

fof(f359,definition,
    ( spl52_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).

fof(f362,plain,
    ( spl52_1
    | spl52_2
    | spl52_3 ),
    inference(avatar_split_clause,[],[f6,f359,f355,f351]) ).

fof(f364,definition,
    ( spl52_4
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl52_4])],[avatar_definition]) ).

fof(f368,definition,
    ( spl52_5
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).

fof(f371,plain,
    ( spl52_4
    | spl52_3
    | spl52_5 ),
    inference(avatar_split_clause,[],[f7,f368,f359,f364]) ).

fof(f373,definition,
    ( spl52_6
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).

fof(f377,definition,
    ( spl52_7
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).

fof(f386,definition,
    ( spl52_9
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl52_9])],[avatar_definition]) ).

fof(f389,plain,
    ( spl52_1
    | spl52_7
    | spl52_9 ),
    inference(avatar_split_clause,[],[f9,f386,f377,f351]) ).

fof(f391,definition,
    ( spl52_10
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl52_10])],[avatar_definition]) ).

fof(f394,plain,
    ( spl52_7
    | spl52_5
    | spl52_10 ),
    inference(avatar_split_clause,[],[f10,f391,f368,f377]) ).

fof(f396,definition,
    ( spl52_11
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl52_11])],[avatar_definition]) ).

fof(f400,definition,
    ( spl52_12
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl52_12])],[avatar_definition]) ).

fof(f403,plain,
    ( spl52_11
    | spl52_10
    | spl52_12 ),
    inference(avatar_split_clause,[],[f11,f400,f391,f396]) ).

fof(f405,definition,
    ( spl52_13
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl52_13])],[avatar_definition]) ).

fof(f408,plain,
    ( spl52_13
    | spl52_12 ),
    inference(avatar_split_clause,[],[f12,f400,f405]) ).

fof(f410,definition,
    ( spl52_14
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl52_14])],[avatar_definition]) ).

fof(f419,definition,
    ( spl52_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl52_16])],[avatar_definition]) ).

fof(f424,definition,
    ( spl52_17
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl52_17])],[avatar_definition]) ).

fof(f428,definition,
    ( spl52_18
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl52_18])],[avatar_definition]) ).

fof(f432,definition,
    ( spl52_19
  <=> ! [X118] :
        ( ~ c0_1(X118)
        | ~ c3_1(X118)
        | ~ c1_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl52_19])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X118] :
        ( ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ c0_1(X118) )
    | ~ spl52_19 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl52_17
    | spl52_12
    | ~ spl52_18
    | spl52_19 ),
    inference(avatar_split_clause,[],[f15,f432,f428,f400,f424]) ).

fof(f436,definition,
    ( spl52_20
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl52_20])],[avatar_definition]) ).

fof(f440,definition,
    ( spl52_21
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | ~ c2_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl52_21])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X117] :
        ( ~ c1_1(X117)
        | ~ c2_1(X117)
        | ~ c0_1(X117) )
    | ~ spl52_21 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f448,definition,
    ( spl52_23
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl52_23])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X116] :
        ( ~ c0_1(X116)
        | ~ c3_1(X116)
        | c2_1(X116) )
    | ~ spl52_23 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f452,definition,
    ( spl52_24
  <=> ! [X113] :
        ( c2_1(X113)
        | ~ c1_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl52_24])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X113] :
        ( ~ c1_1(X113)
        | c2_1(X113)
        | ~ c0_1(X113) )
    | ~ spl52_24 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl52_17
    | ~ spl52_18
    | spl52_24 ),
    inference(avatar_split_clause,[],[f19,f452,f428,f424]) ).

fof(f456,definition,
    ( spl52_25
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl52_25])],[avatar_definition]) ).

fof(f466,definition,
    ( spl52_27
  <=> ! [X104] :
        ( c1_1(X104)
        | ~ c3_1(X104)
        | ~ c2_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl52_27])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X104] :
        ( ~ c2_1(X104)
        | ~ c3_1(X104)
        | c1_1(X104) )
    | ~ spl52_27 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f470,definition,
    ( spl52_28
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl52_28])],[avatar_definition]) ).

fof(f474,definition,
    ( spl52_29
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c3_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl52_29])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | ~ c3_1(X99)
        | c1_1(X99) )
    | ~ spl52_29 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f476,plain,
    ( spl52_4
    | spl52_28
    | ~ spl52_18
    | spl52_29 ),
    inference(avatar_split_clause,[],[f28,f474,f428,f470,f364]) ).

fof(f478,definition,
    ( spl52_30
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl52_30])],[avatar_definition]) ).

fof(f487,definition,
    ( spl52_32
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c0_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl52_32])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X93] :
        ( ~ c0_1(X93)
        | c1_1(X93)
        | c3_1(X93) )
    | ~ spl52_32 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f491,definition,
    ( spl52_33
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl52_33])],[avatar_definition]) ).

fof(f494,plain,
    ( spl52_33
    | spl52_11
    | ~ spl52_18
    | spl52_32 ),
    inference(avatar_split_clause,[],[f33,f487,f428,f396,f491]) ).

fof(f496,definition,
    ( spl52_34
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | c2_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl52_34])],[avatar_definition]) ).

fof(f497,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | c1_1(X84)
        | c2_1(X84) )
    | ~ spl52_34 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( spl52_1
    | spl52_30
    | ~ spl52_18
    | spl52_34 ),
    inference(avatar_split_clause,[],[f37,f496,f428,f478,f351]) ).

fof(f500,definition,
    ( spl52_35
  <=> ! [X77] :
        ( c1_1(X77)
        | c3_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl52_35])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | c3_1(X77)
        | c2_1(X77) )
    | ~ spl52_35 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( spl52_11
    | spl52_12
    | ~ spl52_18
    | spl52_35 ),
    inference(avatar_split_clause,[],[f41,f500,f428,f400,f396]) ).

fof(f504,definition,
    ( spl52_36
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl52_36])],[avatar_definition]) ).

fof(f508,definition,
    ( spl52_37
  <=> ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl52_37])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) )
    | ~ spl52_37 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f513,definition,
    ( spl52_38
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c1_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl52_38])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | ~ c3_1(X68)
        | c0_1(X68) )
    | ~ spl52_38 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f515,plain,
    ( spl52_36
    | ~ spl52_18
    | spl52_38 ),
    inference(avatar_split_clause,[],[f47,f513,f428,f504]) ).

fof(f522,definition,
    ( spl52_40
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl52_40])],[avatar_definition]) ).

fof(f526,definition,
    ( spl52_41
  <=> ! [X57] :
        ( c0_1(X57)
        | ~ c2_1(X57)
        | c3_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl52_41])],[avatar_definition]) ).

fof(f527,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57)
        | c3_1(X57) )
    | ~ spl52_41 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f528,plain,
    ( spl52_40
    | spl52_3
    | ~ spl52_18
    | spl52_41 ),
    inference(avatar_split_clause,[],[f53,f526,f428,f359,f522]) ).

fof(f530,definition,
    ( spl52_42
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl52_42])],[avatar_definition]) ).

fof(f531,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) )
    | ~ spl52_42 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f534,definition,
    ( spl52_43
  <=> ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | c2_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl52_43])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X27] :
        ( c2_1(X27)
        | c3_1(X27)
        | c0_1(X27) )
    | ~ spl52_43 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( spl52_20
    | spl52_7
    | ~ spl52_18
    | spl52_43 ),
    inference(avatar_split_clause,[],[f68,f534,f428,f377,f436]) ).

fof(f538,definition,
    ( spl52_44
  <=> ! [X11] :
        ( c0_1(X11)
        | c3_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl52_44])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c3_1(X11)
        | c0_1(X11) )
    | ~ spl52_44 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f542,definition,
    ( spl52_45
  <=> ! [X6] :
        ( c0_1(X6)
        | c2_1(X6)
        | c1_1(X6) ) ),
    introduced(definition,[new_symbols(definition,[spl52_45])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X6] :
        ( c1_1(X6)
        | c2_1(X6)
        | c0_1(X6) )
    | ~ spl52_45 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( spl52_6
    | spl52_13
    | ~ spl52_18
    | spl52_45 ),
    inference(avatar_split_clause,[],[f78,f542,f428,f405,f373]) ).

fof(f545,plain,
    ( spl52_11
    | spl52_30
    | ~ spl52_18
    | spl52_45 ),
    inference(avatar_split_clause,[],[f79,f542,f428,f478,f396]) ).

fof(f578,definition,
    ( spl52_52
  <=> c3_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl52_52])],[avatar_definition]) ).

fof(f580,plain,
    ( c3_1(a2073)
    | ~ spl52_52 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( spl52_52
    | ~ spl52_16 ),
    inference(avatar_split_clause,[],[f90,f419,f578]) ).

fof(f583,definition,
    ( spl52_53
  <=> c1_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl52_53])],[avatar_definition]) ).

fof(f585,plain,
    ( c1_1(a2073)
    | ~ spl52_53 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( spl52_53
    | ~ spl52_16 ),
    inference(avatar_split_clause,[],[f91,f419,f583]) ).

fof(f588,definition,
    ( spl52_54
  <=> c0_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl52_54])],[avatar_definition]) ).

fof(f590,plain,
    ( c0_1(a2073)
    | ~ spl52_54 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( spl52_54
    | ~ spl52_16 ),
    inference(avatar_split_clause,[],[f92,f419,f588]) ).

fof(f594,definition,
    ( spl52_55
  <=> c3_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl52_55])],[avatar_definition]) ).

fof(f596,plain,
    ( c3_1(a2069)
    | ~ spl52_55 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f597,plain,
    ( spl52_55
    | ~ spl52_30 ),
    inference(avatar_split_clause,[],[f94,f478,f594]) ).

fof(f599,definition,
    ( spl52_56
  <=> c2_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl52_56])],[avatar_definition]) ).

fof(f601,plain,
    ( c2_1(a2069)
    | ~ spl52_56 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f602,plain,
    ( spl52_56
    | ~ spl52_30 ),
    inference(avatar_split_clause,[],[f95,f478,f599]) ).

fof(f604,definition,
    ( spl52_57
  <=> c0_1(a2069) ),
    introduced(definition,[new_symbols(definition,[spl52_57])],[avatar_definition]) ).

fof(f606,plain,
    ( c0_1(a2069)
    | ~ spl52_57 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,plain,
    ( spl52_57
    | ~ spl52_30 ),
    inference(avatar_split_clause,[],[f96,f478,f604]) ).

fof(f609,definition,
    ( spl52_58
  <=> c3_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl52_58])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ spl52_58
    | ~ spl52_2 ),
    inference(avatar_split_clause,[],[f98,f355,f609]) ).

fof(f614,definition,
    ( spl52_59
  <=> c0_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl52_59])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c0_1(a2172)
    | spl52_59 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f617,plain,
    ( ~ spl52_59
    | ~ spl52_2 ),
    inference(avatar_split_clause,[],[f99,f355,f614]) ).

fof(f619,definition,
    ( spl52_60
  <=> c1_1(a2172) ),
    introduced(definition,[new_symbols(definition,[spl52_60])],[avatar_definition]) ).

fof(f621,plain,
    ( c1_1(a2172)
    | ~ spl52_60 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( spl52_60
    | ~ spl52_2 ),
    inference(avatar_split_clause,[],[f100,f355,f619]) ).

fof(f623,plain,
    ( spl52_18
    | ~ spl52_2 ),
    inference(avatar_split_clause,[],[f101,f355,f428]) ).

fof(f625,definition,
    ( spl52_61
  <=> c3_1(a2160) ),
    introduced(definition,[new_symbols(definition,[spl52_61])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c3_1(a2160)
    | spl52_61 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl52_61
    | ~ spl52_5 ),
    inference(avatar_split_clause,[],[f102,f368,f625]) ).

fof(f630,definition,
    ( spl52_62
  <=> c2_1(a2160) ),
    introduced(definition,[new_symbols(definition,[spl52_62])],[avatar_definition]) ).

fof(f632,plain,
    ( c2_1(a2160)
    | ~ spl52_62 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( spl52_62
    | ~ spl52_5 ),
    inference(avatar_split_clause,[],[f103,f368,f630]) ).

fof(f635,definition,
    ( spl52_63
  <=> c1_1(a2160) ),
    introduced(definition,[new_symbols(definition,[spl52_63])],[avatar_definition]) ).

fof(f637,plain,
    ( c1_1(a2160)
    | ~ spl52_63 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( spl52_63
    | ~ spl52_5 ),
    inference(avatar_split_clause,[],[f104,f368,f635]) ).

fof(f641,definition,
    ( spl52_64
  <=> c1_1(a2149) ),
    introduced(definition,[new_symbols(definition,[spl52_64])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ c1_1(a2149)
    | spl52_64 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f644,plain,
    ( ~ spl52_64
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f106,f391,f641]) ).

fof(f646,definition,
    ( spl52_65
  <=> c3_1(a2149) ),
    introduced(definition,[new_symbols(definition,[spl52_65])],[avatar_definition]) ).

fof(f648,plain,
    ( c3_1(a2149)
    | ~ spl52_65 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f649,plain,
    ( spl52_65
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f107,f391,f646]) ).

fof(f651,definition,
    ( spl52_66
  <=> c0_1(a2149) ),
    introduced(definition,[new_symbols(definition,[spl52_66])],[avatar_definition]) ).

fof(f653,plain,
    ( c0_1(a2149)
    | ~ spl52_66 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f654,plain,
    ( spl52_66
    | ~ spl52_10 ),
    inference(avatar_split_clause,[],[f108,f391,f651]) ).

fof(f657,definition,
    ( spl52_67
  <=> c0_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl52_67])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c0_1(a2140)
    | spl52_67 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl52_67
    | ~ spl52_17 ),
    inference(avatar_split_clause,[],[f110,f424,f657]) ).

fof(f662,definition,
    ( spl52_68
  <=> c3_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl52_68])],[avatar_definition]) ).

fof(f664,plain,
    ( c3_1(a2140)
    | ~ spl52_68 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( spl52_68
    | ~ spl52_17 ),
    inference(avatar_split_clause,[],[f111,f424,f662]) ).

fof(f667,definition,
    ( spl52_69
  <=> c2_1(a2140) ),
    introduced(definition,[new_symbols(definition,[spl52_69])],[avatar_definition]) ).

fof(f669,plain,
    ( c2_1(a2140)
    | ~ spl52_69 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( spl52_69
    | ~ spl52_17 ),
    inference(avatar_split_clause,[],[f112,f424,f667]) ).

fof(f687,definition,
    ( spl52_73
  <=> c3_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl52_73])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ c3_1(a2130)
    | spl52_73 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( ~ spl52_73
    | ~ spl52_25 ),
    inference(avatar_split_clause,[],[f118,f456,f687]) ).

fof(f692,definition,
    ( spl52_74
  <=> c2_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl52_74])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ c2_1(a2130)
    | spl52_74 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f695,plain,
    ( ~ spl52_74
    | ~ spl52_25 ),
    inference(avatar_split_clause,[],[f119,f456,f692]) ).

fof(f697,definition,
    ( spl52_75
  <=> c1_1(a2130) ),
    introduced(definition,[new_symbols(definition,[spl52_75])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ c1_1(a2130)
    | spl52_75 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( ~ spl52_75
    | ~ spl52_25 ),
    inference(avatar_split_clause,[],[f120,f456,f697]) ).

fof(f717,definition,
    ( spl52_79
  <=> c3_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl52_79])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ c3_1(a2116)
    | spl52_79 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl52_79
    | ~ spl52_1 ),
    inference(avatar_split_clause,[],[f126,f351,f717]) ).

fof(f722,definition,
    ( spl52_80
  <=> c2_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl52_80])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ c2_1(a2116)
    | spl52_80 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl52_80
    | ~ spl52_1 ),
    inference(avatar_split_clause,[],[f127,f351,f722]) ).

fof(f727,definition,
    ( spl52_81
  <=> c1_1(a2116) ),
    introduced(definition,[new_symbols(definition,[spl52_81])],[avatar_definition]) ).

fof(f729,plain,
    ( c1_1(a2116)
    | ~ spl52_81 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f730,plain,
    ( spl52_81
    | ~ spl52_1 ),
    inference(avatar_split_clause,[],[f128,f351,f727]) ).

fof(f731,plain,
    ( spl52_18
    | ~ spl52_1 ),
    inference(avatar_split_clause,[],[f129,f351,f428]) ).

fof(f733,definition,
    ( spl52_82
  <=> c1_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl52_82])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ c1_1(a2110)
    | spl52_82 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( ~ spl52_82
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f130,f400,f733]) ).

fof(f738,definition,
    ( spl52_83
  <=> c2_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl52_83])],[avatar_definition]) ).

fof(f740,plain,
    ( c2_1(a2110)
    | ~ spl52_83 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl52_83
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f131,f400,f738]) ).

fof(f743,definition,
    ( spl52_84
  <=> c0_1(a2110) ),
    introduced(definition,[new_symbols(definition,[spl52_84])],[avatar_definition]) ).

fof(f745,plain,
    ( c0_1(a2110)
    | ~ spl52_84 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f746,plain,
    ( spl52_84
    | ~ spl52_12 ),
    inference(avatar_split_clause,[],[f132,f400,f743]) ).

fof(f764,definition,
    ( spl52_88
  <=> c3_1(a2099) ),
    introduced(definition,[new_symbols(definition,[spl52_88])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ spl52_88
    | ~ spl52_14 ),
    inference(avatar_split_clause,[],[f138,f410,f764]) ).

fof(f769,definition,
    ( spl52_89
  <=> c2_1(a2099) ),
    introduced(definition,[new_symbols(definition,[spl52_89])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ c2_1(a2099)
    | spl52_89 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( ~ spl52_89
    | ~ spl52_14 ),
    inference(avatar_split_clause,[],[f139,f410,f769]) ).

fof(f799,definition,
    ( spl52_95
  <=> c1_1(a2096) ),
    introduced(definition,[new_symbols(definition,[spl52_95])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ c1_1(a2096)
    | spl52_95 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( ~ spl52_95
    | ~ spl52_40 ),
    inference(avatar_split_clause,[],[f146,f522,f799]) ).

fof(f804,definition,
    ( spl52_96
  <=> c0_1(a2096) ),
    introduced(definition,[new_symbols(definition,[spl52_96])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ c0_1(a2096)
    | spl52_96 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( ~ spl52_96
    | ~ spl52_40 ),
    inference(avatar_split_clause,[],[f147,f522,f804]) ).

fof(f814,definition,
    ( spl52_98
  <=> c2_1(a2095) ),
    introduced(definition,[new_symbols(definition,[spl52_98])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ c2_1(a2095)
    | spl52_98 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f817,plain,
    ( ~ spl52_98
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f150,f359,f814]) ).

fof(f819,definition,
    ( spl52_99
  <=> c0_1(a2095) ),
    introduced(definition,[new_symbols(definition,[spl52_99])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c0_1(a2095)
    | spl52_99 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f822,plain,
    ( ~ spl52_99
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f151,f359,f819]) ).

fof(f824,definition,
    ( spl52_100
  <=> c1_1(a2095) ),
    introduced(definition,[new_symbols(definition,[spl52_100])],[avatar_definition]) ).

fof(f826,plain,
    ( c1_1(a2095)
    | ~ spl52_100 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f827,plain,
    ( spl52_100
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f152,f359,f824]) ).

fof(f828,plain,
    ( spl52_18
    | ~ spl52_3 ),
    inference(avatar_split_clause,[],[f153,f359,f428]) ).

fof(f830,definition,
    ( spl52_101
  <=> c3_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl52_101])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ c3_1(a2093)
    | spl52_101 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( ~ spl52_101
    | ~ spl52_28 ),
    inference(avatar_split_clause,[],[f154,f470,f830]) ).

fof(f835,definition,
    ( spl52_102
  <=> c1_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl52_102])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ c1_1(a2093)
    | spl52_102 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f838,plain,
    ( ~ spl52_102
    | ~ spl52_28 ),
    inference(avatar_split_clause,[],[f155,f470,f835]) ).

fof(f840,definition,
    ( spl52_103
  <=> c0_1(a2093) ),
    introduced(definition,[new_symbols(definition,[spl52_103])],[avatar_definition]) ).

fof(f842,plain,
    ( c0_1(a2093)
    | ~ spl52_103 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( spl52_103
    | ~ spl52_28 ),
    inference(avatar_split_clause,[],[f156,f470,f840]) ).

fof(f845,definition,
    ( spl52_104
  <=> c3_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl52_104])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ c3_1(a2087)
    | spl52_104 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( ~ spl52_104
    | ~ spl52_4 ),
    inference(avatar_split_clause,[],[f158,f364,f845]) ).

fof(f850,definition,
    ( spl52_105
  <=> c1_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl52_105])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c1_1(a2087)
    | spl52_105 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl52_105
    | ~ spl52_4 ),
    inference(avatar_split_clause,[],[f159,f364,f850]) ).

fof(f855,definition,
    ( spl52_106
  <=> c2_1(a2087) ),
    introduced(definition,[new_symbols(definition,[spl52_106])],[avatar_definition]) ).

fof(f857,plain,
    ( c2_1(a2087)
    | ~ spl52_106 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( spl52_106
    | ~ spl52_4 ),
    inference(avatar_split_clause,[],[f160,f364,f855]) ).

fof(f861,definition,
    ( spl52_107
  <=> c1_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl52_107])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ c1_1(a2084)
    | spl52_107 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f865,definition,
    ( spl52_108
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl52_108])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ spl52_107
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f162,f865,f861]) ).

fof(f870,definition,
    ( spl52_109
  <=> c3_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl52_109])],[avatar_definition]) ).

fof(f872,plain,
    ( c3_1(a2084)
    | ~ spl52_109 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f873,plain,
    ( spl52_109
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f163,f865,f870]) ).

fof(f875,definition,
    ( spl52_110
  <=> c2_1(a2084) ),
    introduced(definition,[new_symbols(definition,[spl52_110])],[avatar_definition]) ).

fof(f877,plain,
    ( c2_1(a2084)
    | ~ spl52_110 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( spl52_110
    | ~ spl52_108 ),
    inference(avatar_split_clause,[],[f164,f865,f875]) ).

fof(f880,definition,
    ( spl52_111
  <=> c0_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl52_111])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ c0_1(a2082)
    | spl52_111 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f883,plain,
    ( ~ spl52_111
    | ~ spl52_33 ),
    inference(avatar_split_clause,[],[f166,f491,f880]) ).

fof(f885,definition,
    ( spl52_112
  <=> c2_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl52_112])],[avatar_definition]) ).

fof(f887,plain,
    ( c2_1(a2082)
    | ~ spl52_112 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f888,plain,
    ( spl52_112
    | ~ spl52_33 ),
    inference(avatar_split_clause,[],[f167,f491,f885]) ).

fof(f890,definition,
    ( spl52_113
  <=> c1_1(a2082) ),
    introduced(definition,[new_symbols(definition,[spl52_113])],[avatar_definition]) ).

fof(f892,plain,
    ( c1_1(a2082)
    | ~ spl52_113 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f893,plain,
    ( spl52_113
    | ~ spl52_33 ),
    inference(avatar_split_clause,[],[f168,f491,f890]) ).

fof(f911,definition,
    ( spl52_117
  <=> c2_1(a2078) ),
    introduced(definition,[new_symbols(definition,[spl52_117])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ c2_1(a2078)
    | spl52_117 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl52_117
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f174,f386,f911]) ).

fof(f916,definition,
    ( spl52_118
  <=> c1_1(a2078) ),
    introduced(definition,[new_symbols(definition,[spl52_118])],[avatar_definition]) ).

fof(f918,plain,
    ( ~ c1_1(a2078)
    | spl52_118 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( ~ spl52_118
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f175,f386,f916]) ).

fof(f921,definition,
    ( spl52_119
  <=> c0_1(a2078) ),
    introduced(definition,[new_symbols(definition,[spl52_119])],[avatar_definition]) ).

fof(f923,plain,
    ( c0_1(a2078)
    | ~ spl52_119 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( spl52_119
    | ~ spl52_9 ),
    inference(avatar_split_clause,[],[f176,f386,f921]) ).

fof(f927,definition,
    ( spl52_120
  <=> c0_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl52_120])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c0_1(a2076)
    | spl52_120 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl52_120
    | ~ spl52_7 ),
    inference(avatar_split_clause,[],[f178,f377,f927]) ).

fof(f932,definition,
    ( spl52_121
  <=> c3_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl52_121])],[avatar_definition]) ).

fof(f934,plain,
    ( c3_1(a2076)
    | ~ spl52_121 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( spl52_121
    | ~ spl52_7 ),
    inference(avatar_split_clause,[],[f179,f377,f932]) ).

fof(f937,definition,
    ( spl52_122
  <=> c1_1(a2076) ),
    introduced(definition,[new_symbols(definition,[spl52_122])],[avatar_definition]) ).

fof(f939,plain,
    ( c1_1(a2076)
    | ~ spl52_122 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f940,plain,
    ( spl52_122
    | ~ spl52_7 ),
    inference(avatar_split_clause,[],[f180,f377,f937]) ).

fof(f943,definition,
    ( spl52_123
  <=> c2_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl52_123])],[avatar_definition]) ).

fof(f945,plain,
    ( ~ c2_1(a2074)
    | spl52_123 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( ~ spl52_123
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f182,f436,f943]) ).

fof(f948,definition,
    ( spl52_124
  <=> c3_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl52_124])],[avatar_definition]) ).

fof(f950,plain,
    ( c3_1(a2074)
    | ~ spl52_124 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( spl52_124
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f183,f436,f948]) ).

fof(f953,definition,
    ( spl52_125
  <=> c1_1(a2074) ),
    introduced(definition,[new_symbols(definition,[spl52_125])],[avatar_definition]) ).

fof(f955,plain,
    ( c1_1(a2074)
    | ~ spl52_125 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f956,plain,
    ( spl52_125
    | ~ spl52_20 ),
    inference(avatar_split_clause,[],[f184,f436,f953]) ).

fof(f958,definition,
    ( spl52_126
  <=> c3_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl52_126])],[avatar_definition]) ).

fof(f960,plain,
    ( ~ c3_1(a2072)
    | spl52_126 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,plain,
    ( ~ spl52_126
    | ~ spl52_6 ),
    inference(avatar_split_clause,[],[f186,f373,f958]) ).

fof(f963,definition,
    ( spl52_127
  <=> c1_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl52_127])],[avatar_definition]) ).

fof(f965,plain,
    ( ~ c1_1(a2072)
    | spl52_127 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,plain,
    ( ~ spl52_127
    | ~ spl52_6 ),
    inference(avatar_split_clause,[],[f187,f373,f963]) ).

fof(f968,definition,
    ( spl52_128
  <=> c0_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl52_128])],[avatar_definition]) ).

fof(f970,plain,
    ( ~ c0_1(a2072)
    | spl52_128 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( ~ spl52_128
    | ~ spl52_6 ),
    inference(avatar_split_clause,[],[f188,f373,f968]) ).

fof(f974,definition,
    ( spl52_129
  <=> c3_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl52_129])],[avatar_definition]) ).

fof(f976,plain,
    ( ~ c3_1(a2071)
    | spl52_129 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f977,plain,
    ( ~ spl52_129
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f190,f405,f974]) ).

fof(f979,definition,
    ( spl52_130
  <=> c2_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl52_130])],[avatar_definition]) ).

fof(f981,plain,
    ( c2_1(a2071)
    | ~ spl52_130 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f982,plain,
    ( spl52_130
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f191,f405,f979]) ).

fof(f984,definition,
    ( spl52_131
  <=> c0_1(a2071) ),
    introduced(definition,[new_symbols(definition,[spl52_131])],[avatar_definition]) ).

fof(f986,plain,
    ( c0_1(a2071)
    | ~ spl52_131 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f987,plain,
    ( spl52_131
    | ~ spl52_13 ),
    inference(avatar_split_clause,[],[f192,f405,f984]) ).

fof(f990,definition,
    ( spl52_132
  <=> c2_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl52_132])],[avatar_definition]) ).

fof(f992,plain,
    ( ~ c2_1(a2070)
    | spl52_132 ),
    inference(avatar_component_clause,[],[f990]) ).

fof(f993,plain,
    ( ~ spl52_132
    | ~ spl52_11 ),
    inference(avatar_split_clause,[],[f194,f396,f990]) ).

fof(f995,definition,
    ( spl52_133
  <=> c3_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl52_133])],[avatar_definition]) ).

fof(f997,plain,
    ( c3_1(a2070)
    | ~ spl52_133 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f998,plain,
    ( spl52_133
    | ~ spl52_11 ),
    inference(avatar_split_clause,[],[f195,f396,f995]) ).

fof(f1000,definition,
    ( spl52_134
  <=> c0_1(a2070) ),
    introduced(definition,[new_symbols(definition,[spl52_134])],[avatar_definition]) ).

fof(f1002,plain,
    ( c0_1(a2070)
    | ~ spl52_134 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1003,plain,
    ( spl52_134
    | ~ spl52_11 ),
    inference(avatar_split_clause,[],[f196,f396,f1000]) ).

fof(f1006,definition,
    ( spl52_135
  <=> c2_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl52_135])],[avatar_definition]) ).

fof(f1008,plain,
    ( ~ c2_1(a2068)
    | spl52_135 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1009,plain,
    ( ~ spl52_135
    | ~ spl52_36 ),
    inference(avatar_split_clause,[],[f198,f504,f1006]) ).

fof(f1011,definition,
    ( spl52_136
  <=> c0_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl52_136])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ c0_1(a2068)
    | spl52_136 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1014,plain,
    ( ~ spl52_136
    | ~ spl52_36 ),
    inference(avatar_split_clause,[],[f199,f504,f1011]) ).

fof(f1016,definition,
    ( spl52_137
  <=> c3_1(a2068) ),
    introduced(definition,[new_symbols(definition,[spl52_137])],[avatar_definition]) ).

fof(f1018,plain,
    ( c3_1(a2068)
    | ~ spl52_137 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1019,plain,
    ( spl52_137
    | ~ spl52_36 ),
    inference(avatar_split_clause,[],[f200,f504,f1016]) ).

fof(f1021,definition,
    ( spl52_138
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl52_138])],[avatar_definition]) ).

fof(f1024,plain,
    ( spl52_138
    | spl52_35 ),
    inference(avatar_split_clause,[],[f202,f500,f1021]) ).

fof(f1026,definition,
    ( spl52_139
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl52_139])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl52_139
    | spl52_45 ),
    inference(avatar_split_clause,[],[f204,f542,f1026]) ).

fof(f1031,definition,
    ( spl52_140
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl52_140])],[avatar_definition]) ).

fof(f1032,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1)
        | c2_1(X1) )
    | ~ spl52_140 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1033,plain,
    ( ~ spl52_139
    | ~ spl52_138
    | spl52_140
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f306,f428,f1031,f1021,f1026]) ).

fof(f1035,definition,
    ( spl52_141
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl52_141])],[avatar_definition]) ).

fof(f1038,plain,
    ( spl52_141
    | spl52_45 ),
    inference(avatar_split_clause,[],[f206,f542,f1035]) ).

fof(f1040,definition,
    ( spl52_142
  <=> ! [X4] :
        ( ~ c0_1(X4)
        | ~ c3_1(X4)
        | ~ c2_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl52_142])],[avatar_definition]) ).

fof(f1041,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c3_1(X4)
        | ~ c0_1(X4) )
    | ~ spl52_142 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1042,plain,
    ( ~ spl52_141
    | spl52_36
    | spl52_142
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f307,f428,f1040,f504,f1035]) ).

fof(f1044,definition,
    ( spl52_143
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl52_143])],[avatar_definition]) ).

fof(f1048,definition,
    ( spl52_144
  <=> ! [X8] :
        ( c0_1(X8)
        | ~ c2_1(X8)
        | c1_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl52_144])],[avatar_definition]) ).

fof(f1049,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c0_1(X8)
        | c1_1(X8) )
    | ~ spl52_144 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1050,plain,
    ( spl52_143
    | spl52_144 ),
    inference(avatar_split_clause,[],[f208,f1048,f1044]) ).

fof(f1051,plain,
    ( ~ spl52_143
    | spl52_16
    | ~ spl52_18
    | spl52_44 ),
    inference(avatar_split_clause,[],[f308,f538,f428,f419,f1044]) ).

fof(f1053,definition,
    ( spl52_145
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl52_145])],[avatar_definition]) ).

fof(f1057,definition,
    ( spl52_146
  <=> ! [X10] :
        ( c1_1(X10)
        | ~ c2_1(X10)
        | c3_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl52_146])],[avatar_definition]) ).

fof(f1058,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c1_1(X10)
        | c3_1(X10) )
    | ~ spl52_146 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1059,plain,
    ( spl52_145
    | spl52_146 ),
    inference(avatar_split_clause,[],[f210,f1057,f1053]) ).

fof(f1060,plain,
    ( ~ spl52_145
    | spl52_20
    | ~ spl52_18
    | spl52_44 ),
    inference(avatar_split_clause,[],[f309,f538,f428,f436,f1053]) ).

fof(f1082,definition,
    ( spl52_151
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl52_151])],[avatar_definition]) ).

fof(f1085,plain,
    ( spl52_151
    | spl52_29 ),
    inference(avatar_split_clause,[],[f218,f474,f1082]) ).

fof(f1087,definition,
    ( spl52_152
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl52_152])],[avatar_definition]) ).

fof(f1088,plain,
    ( ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) )
    | ~ spl52_152 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1089,plain,
    ( ~ spl52_151
    | spl52_9
    | ~ spl52_18
    | spl52_152 ),
    inference(avatar_split_clause,[],[f312,f1087,f428,f386,f1082]) ).

fof(f1095,definition,
    ( spl52_154
  <=> ! [X21] :
        ( c2_1(X21)
        | ~ c1_1(X21)
        | c3_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl52_154])],[avatar_definition]) ).

fof(f1096,plain,
    ( ! [X21] :
        ( c2_1(X21)
        | ~ c1_1(X21)
        | c3_1(X21) )
    | ~ spl52_154 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1111,definition,
    ( spl52_157
  <=> sP12 ),
    introduced(definition,[new_symbols(definition,[spl52_157])],[avatar_definition]) ).

fof(f1115,definition,
    ( spl52_158
  <=> ! [X26] :
        ( c2_1(X26)
        | ~ c3_1(X26)
        | ~ c1_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl52_158])],[avatar_definition]) ).

fof(f1116,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | ~ c3_1(X26)
        | c2_1(X26) )
    | ~ spl52_158 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1117,plain,
    ( spl52_157
    | spl52_158 ),
    inference(avatar_split_clause,[],[f226,f1115,f1111]) ).

fof(f1119,definition,
    ( spl52_159
  <=> sP13 ),
    introduced(definition,[new_symbols(definition,[spl52_159])],[avatar_definition]) ).

fof(f1122,plain,
    ( spl52_159
    | spl52_43 ),
    inference(avatar_split_clause,[],[f228,f534,f1119]) ).

fof(f1123,plain,
    ( ~ spl52_159
    | ~ spl52_157
    | spl52_146
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f315,f428,f1057,f1111,f1119]) ).

fof(f1125,definition,
    ( spl52_160
  <=> sP14 ),
    introduced(definition,[new_symbols(definition,[spl52_160])],[avatar_definition]) ).

fof(f1128,plain,
    ( spl52_160
    | spl52_140 ),
    inference(avatar_split_clause,[],[f230,f1031,f1125]) ).

fof(f1129,plain,
    ( ~ spl52_160
    | spl52_33
    | spl52_146
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f316,f428,f1057,f491,f1125]) ).

fof(f1137,definition,
    ( spl52_162
  <=> sP16 ),
    introduced(definition,[new_symbols(definition,[spl52_162])],[avatar_definition]) ).

fof(f1140,plain,
    ( spl52_162
    | spl52_140 ),
    inference(avatar_split_clause,[],[f234,f1031,f1137]) ).

fof(f1141,plain,
    ( ~ spl52_162
    | spl52_108
    | spl52_24
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f318,f428,f452,f865,f1137]) ).

fof(f1143,definition,
    ( spl52_163
  <=> sP17 ),
    introduced(definition,[new_symbols(definition,[spl52_163])],[avatar_definition]) ).

fof(f1146,plain,
    ( spl52_163
    | spl52_140 ),
    inference(avatar_split_clause,[],[f236,f1031,f1143]) ).

fof(f1147,plain,
    ( ~ spl52_163
    | spl52_108
    | spl52_23
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f319,f428,f448,f865,f1143]) ).

fof(f1149,definition,
    ( spl52_164
  <=> sP18 ),
    introduced(definition,[new_symbols(definition,[spl52_164])],[avatar_definition]) ).

fof(f1152,plain,
    ( spl52_164
    | spl52_154 ),
    inference(avatar_split_clause,[],[f238,f1095,f1149]) ).

fof(f1154,definition,
    ( spl52_165
  <=> sP19 ),
    introduced(definition,[new_symbols(definition,[spl52_165])],[avatar_definition]) ).

fof(f1157,plain,
    ( spl52_165
    | spl52_42 ),
    inference(avatar_split_clause,[],[f240,f530,f1154]) ).

fof(f1159,definition,
    ( spl52_166
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl52_166])],[avatar_definition]) ).

fof(f1160,plain,
    ( ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) )
    | ~ spl52_166 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1161,plain,
    ( ~ spl52_165
    | ~ spl52_164
    | spl52_166
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f320,f428,f1159,f1149,f1154]) ).

fof(f1163,definition,
    ( spl52_167
  <=> sP20 ),
    introduced(definition,[new_symbols(definition,[spl52_167])],[avatar_definition]) ).

fof(f1166,plain,
    ( spl52_167
    | spl52_34 ),
    inference(avatar_split_clause,[],[f242,f496,f1163]) ).

fof(f1167,plain,
    ( ~ spl52_167
    | spl52_20
    | ~ spl52_18
    | spl52_42 ),
    inference(avatar_split_clause,[],[f321,f530,f428,f436,f1163]) ).

fof(f1169,definition,
    ( spl52_168
  <=> sP21 ),
    introduced(definition,[new_symbols(definition,[spl52_168])],[avatar_definition]) ).

fof(f1172,plain,
    ( spl52_168
    | spl52_42 ),
    inference(avatar_split_clause,[],[f244,f530,f1169]) ).

fof(f1173,plain,
    ( ~ spl52_168
    | spl52_4
    | spl52_142
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f322,f428,f1040,f364,f1169]) ).

fof(f1175,definition,
    ( spl52_169
  <=> sP22 ),
    introduced(definition,[new_symbols(definition,[spl52_169])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl52_169
    | spl52_166 ),
    inference(avatar_split_clause,[],[f246,f1159,f1175]) ).

fof(f1179,plain,
    ( ~ spl52_169
    | spl52_20
    | spl52_142
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f323,f428,f1040,f436,f1175]) ).

fof(f1190,definition,
    ( spl52_172
  <=> sP24 ),
    introduced(definition,[new_symbols(definition,[spl52_172])],[avatar_definition]) ).

fof(f1193,plain,
    ( spl52_172
    | spl52_41 ),
    inference(avatar_split_clause,[],[f250,f526,f1190]) ).

fof(f1195,definition,
    ( spl52_173
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c2_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl52_173])],[avatar_definition]) ).

fof(f1196,plain,
    ( ! [X49] :
        ( c0_1(X49)
        | ~ c2_1(X49)
        | ~ c1_1(X49) )
    | ~ spl52_173 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f1197,plain,
    ( ~ spl52_172
    | spl52_11
    | spl52_173
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f325,f428,f1195,f396,f1190]) ).

fof(f1208,definition,
    ( spl52_176
  <=> sP26 ),
    introduced(definition,[new_symbols(definition,[spl52_176])],[avatar_definition]) ).

fof(f1211,plain,
    ( spl52_176
    | spl52_41 ),
    inference(avatar_split_clause,[],[f254,f526,f1208]) ).

fof(f1212,plain,
    ( ~ spl52_176
    | spl52_4
    | spl52_27
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f327,f428,f466,f364,f1208]) ).

fof(f1214,definition,
    ( spl52_177
  <=> sP27 ),
    introduced(definition,[new_symbols(definition,[spl52_177])],[avatar_definition]) ).

fof(f1217,plain,
    ( spl52_177
    | spl52_158 ),
    inference(avatar_split_clause,[],[f256,f1115,f1214]) ).

fof(f1219,definition,
    ( spl52_178
  <=> sP28 ),
    introduced(definition,[new_symbols(definition,[spl52_178])],[avatar_definition]) ).

fof(f1222,plain,
    ( spl52_178
    | spl52_41 ),
    inference(avatar_split_clause,[],[f258,f526,f1219]) ).

fof(f1223,plain,
    ( ~ spl52_178
    | ~ spl52_177
    | spl52_23
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f328,f428,f448,f1214,f1219]) ).

fof(f1231,definition,
    ( spl52_180
  <=> sP30 ),
    introduced(definition,[new_symbols(definition,[spl52_180])],[avatar_definition]) ).

fof(f1234,plain,
    ( spl52_180
    | spl52_173 ),
    inference(avatar_split_clause,[],[f262,f1195,f1231]) ).

fof(f1235,plain,
    ( ~ spl52_180
    | spl52_28
    | spl52_146
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f330,f428,f1057,f470,f1231]) ).

fof(f1237,definition,
    ( spl52_181
  <=> sP31 ),
    introduced(definition,[new_symbols(definition,[spl52_181])],[avatar_definition]) ).

fof(f1240,plain,
    ( spl52_181
    | spl52_38 ),
    inference(avatar_split_clause,[],[f264,f513,f1237]) ).

fof(f1241,plain,
    ( ~ spl52_181
    | spl52_14
    | spl52_34
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f331,f428,f496,f410,f1237]) ).

fof(f1243,definition,
    ( spl52_182
  <=> sP32 ),
    introduced(definition,[new_symbols(definition,[spl52_182])],[avatar_definition]) ).

fof(f1246,plain,
    ( spl52_182
    | spl52_29 ),
    inference(avatar_split_clause,[],[f266,f474,f1243]) ).

fof(f1248,definition,
    ( spl52_183
  <=> sP33 ),
    introduced(definition,[new_symbols(definition,[spl52_183])],[avatar_definition]) ).

fof(f1251,plain,
    ( spl52_183
    | spl52_24 ),
    inference(avatar_split_clause,[],[f268,f452,f1248]) ).

fof(f1252,plain,
    ( ~ spl52_183
    | ~ spl52_182
    | ~ spl52_18
    | spl52_38 ),
    inference(avatar_split_clause,[],[f332,f513,f428,f1243,f1248]) ).

fof(f1254,definition,
    ( spl52_184
  <=> sP34 ),
    introduced(definition,[new_symbols(definition,[spl52_184])],[avatar_definition]) ).

fof(f1257,plain,
    ( spl52_184
    | spl52_27 ),
    inference(avatar_split_clause,[],[f270,f466,f1254]) ).

fof(f1258,plain,
    ( ~ spl52_184
    | spl52_16
    | ~ spl52_18
    | spl52_37 ),
    inference(avatar_split_clause,[],[f333,f508,f428,f419,f1254]) ).

fof(f1264,definition,
    ( spl52_186
  <=> ! [X72] :
        ( c2_1(X72)
        | ~ c0_1(X72)
        | c3_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl52_186])],[avatar_definition]) ).

fof(f1265,plain,
    ( ! [X72] :
        ( c2_1(X72)
        | ~ c0_1(X72)
        | c3_1(X72) )
    | ~ spl52_186 ),
    inference(avatar_component_clause,[],[f1264]) ).

fof(f1269,definition,
    ( spl52_187
  <=> sP36 ),
    introduced(definition,[new_symbols(definition,[spl52_187])],[avatar_definition]) ).

fof(f1272,plain,
    ( spl52_187
    | spl52_37 ),
    inference(avatar_split_clause,[],[f274,f508,f1269]) ).

fof(f1273,plain,
    ( ~ spl52_187
    | spl52_30
    | spl52_21
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f335,f428,f440,f478,f1269]) ).

fof(f1286,definition,
    ( spl52_190
  <=> ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl52_190])],[avatar_definition]) ).

fof(f1287,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) )
    | ~ spl52_190 ),
    inference(avatar_component_clause,[],[f1286]) ).

fof(f1296,definition,
    ( spl52_192
  <=> sP40 ),
    introduced(definition,[new_symbols(definition,[spl52_192])],[avatar_definition]) ).

fof(f1299,plain,
    ( spl52_192
    | spl52_27 ),
    inference(avatar_split_clause,[],[f282,f466,f1296]) ).

fof(f1300,plain,
    ( ~ spl52_192
    | spl52_30
    | ~ spl52_18
    | spl52_32 ),
    inference(avatar_split_clause,[],[f339,f487,f428,f478,f1296]) ).

fof(f1302,definition,
    ( spl52_193
  <=> sP41 ),
    introduced(definition,[new_symbols(definition,[spl52_193])],[avatar_definition]) ).

fof(f1305,plain,
    ( spl52_193
    | spl52_158 ),
    inference(avatar_split_clause,[],[f284,f1115,f1302]) ).

fof(f1306,plain,
    ( ~ spl52_193
    | spl52_6
    | ~ spl52_18
    | spl52_32 ),
    inference(avatar_split_clause,[],[f340,f487,f428,f373,f1302]) ).

fof(f1308,definition,
    ( spl52_194
  <=> sP42 ),
    introduced(definition,[new_symbols(definition,[spl52_194])],[avatar_definition]) ).

fof(f1311,plain,
    ( spl52_194
    | spl52_19 ),
    inference(avatar_split_clause,[],[f286,f432,f1308]) ).

fof(f1313,definition,
    ( spl52_195
  <=> sP43 ),
    introduced(definition,[new_symbols(definition,[spl52_195])],[avatar_definition]) ).

fof(f1316,plain,
    ( spl52_195
    | spl52_142 ),
    inference(avatar_split_clause,[],[f288,f1040,f1313]) ).

fof(f1317,plain,
    ( ~ spl52_195
    | ~ spl52_194
    | ~ spl52_18
    | spl52_32 ),
    inference(avatar_split_clause,[],[f341,f487,f428,f1308,f1313]) ).

fof(f1319,definition,
    ( spl52_196
  <=> sP44 ),
    introduced(definition,[new_symbols(definition,[spl52_196])],[avatar_definition]) ).

fof(f1322,plain,
    ( spl52_196
    | spl52_29 ),
    inference(avatar_split_clause,[],[f290,f474,f1319]) ).

fof(f1323,plain,
    ( ~ spl52_196
    | spl52_12
    | spl52_154
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f342,f428,f1095,f400,f1319]) ).

fof(f1331,definition,
    ( spl52_198
  <=> sP46 ),
    introduced(definition,[new_symbols(definition,[spl52_198])],[avatar_definition]) ).

fof(f1334,plain,
    ( spl52_198
    | spl52_23 ),
    inference(avatar_split_clause,[],[f294,f448,f1331]) ).

fof(f1335,plain,
    ( ~ spl52_198
    | spl52_6
    | ~ spl52_18
    | spl52_27 ),
    inference(avatar_split_clause,[],[f344,f466,f428,f373,f1331]) ).

fof(f1337,definition,
    ( spl52_199
  <=> sP47 ),
    introduced(definition,[new_symbols(definition,[spl52_199])],[avatar_definition]) ).

fof(f1340,plain,
    ( spl52_199
    | spl52_27 ),
    inference(avatar_split_clause,[],[f296,f466,f1337]) ).

fof(f1341,plain,
    ( ~ spl52_199
    | spl52_25
    | spl52_21
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f345,f428,f440,f456,f1337]) ).

fof(f1343,definition,
    ( spl52_200
  <=> sP48 ),
    introduced(definition,[new_symbols(definition,[spl52_200])],[avatar_definition]) ).

fof(f1346,plain,
    ( spl52_200
    | spl52_21 ),
    inference(avatar_split_clause,[],[f298,f440,f1343]) ).

fof(f1347,plain,
    ( ~ spl52_200
    | spl52_28
    | ~ spl52_18
    | spl52_186 ),
    inference(avatar_split_clause,[],[f346,f1264,f428,f470,f1343]) ).

fof(f1349,definition,
    ( spl52_201
  <=> sP49 ),
    introduced(definition,[new_symbols(definition,[spl52_201])],[avatar_definition]) ).

fof(f1352,plain,
    ( spl52_201
    | spl52_158 ),
    inference(avatar_split_clause,[],[f300,f1115,f1349]) ).

fof(f1353,plain,
    ( ~ spl52_201
    | spl52_7
    | ~ spl52_18
    | spl52_24 ),
    inference(avatar_split_clause,[],[f347,f452,f428,f377,f1349]) ).

fof(f1355,definition,
    ( spl52_202
  <=> sP50 ),
    introduced(definition,[new_symbols(definition,[spl52_202])],[avatar_definition]) ).

fof(f1358,plain,
    ( spl52_202
    | spl52_24 ),
    inference(avatar_split_clause,[],[f302,f452,f1355]) ).

fof(f1360,definition,
    ( spl52_203
  <=> ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | ~ c1_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl52_203])],[avatar_definition]) ).

fof(f1361,plain,
    ( ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | ~ c1_1(X110) )
    | ~ spl52_203 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f1362,plain,
    ( ~ spl52_202
    | spl52_3
    | spl52_203
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f348,f428,f1360,f359,f1355]) ).

fof(f1364,definition,
    ( spl52_204
  <=> sP51 ),
    introduced(definition,[new_symbols(definition,[spl52_204])],[avatar_definition]) ).

fof(f1367,plain,
    ( spl52_204
    | spl52_23 ),
    inference(avatar_split_clause,[],[f304,f448,f1364]) ).

fof(f1368,plain,
    ( ~ spl52_204
    | spl52_20
    | spl52_190
    | ~ spl52_18 ),
    inference(avatar_split_clause,[],[f349,f428,f1286,f436,f1364]) ).

fof(f1370,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | ~ c3_1(X99) )
    | ~ spl52_19
    | ~ spl52_29 ),
    inference(forward_subsumption_resolution,[],[f475,f433]) ).

fof(f1371,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | c1_1(X84) )
    | ~ spl52_27
    | ~ spl52_34 ),
    inference(forward_subsumption_resolution,[],[f497,f467]) ).

fof(f1372,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | ~ c3_1(X68) )
    | ~ spl52_19
    | ~ spl52_38 ),
    inference(forward_subsumption_resolution,[],[f514,f433]) ).

fof(f1373,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57) )
    | ~ spl52_37
    | ~ spl52_41 ),
    inference(forward_subsumption_resolution,[],[f527,f509]) ).

fof(f1374,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43) )
    | ~ spl52_37
    | ~ spl52_42 ),
    inference(forward_subsumption_resolution,[],[f531,f509]) ).

fof(f1375,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c3_1(X11) )
    | ~ spl52_32
    | ~ spl52_44 ),
    inference(forward_subsumption_resolution,[],[f539,f488]) ).

fof(f1376,plain,
    ( ! [X1] :
        ( c2_1(X1)
        | c0_1(X1) )
    | ~ spl52_45
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f1032,f543]) ).

fof(f1377,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | ~ c3_1(X4) )
    | ~ spl52_23
    | ~ spl52_142 ),
    inference(forward_subsumption_resolution,[],[f1041,f449]) ).

fof(f1378,plain,
    ( ! [X8] :
        ( c1_1(X8)
        | c0_1(X8) )
    | ~ spl52_45
    | ~ spl52_144 ),
    inference(forward_subsumption_resolution,[],[f1049,f543]) ).

fof(f1379,plain,
    ( ! [X21] :
        ( c2_1(X21)
        | c3_1(X21) )
    | ~ spl52_35
    | ~ spl52_154 ),
    inference(forward_subsumption_resolution,[],[f1096,f501]) ).

fof(f1394,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl52_37
    | ~ spl52_41
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f1032,f1373]) ).

fof(f1398,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | c3_1(X11) )
    | ~ spl52_44
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f539,f1160]) ).

fof(f1409,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c1_1(X10) )
    | ~ spl52_27
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f1058,f467]) ).

fof(f1447,plain,
    ( ! [X43] :
        ( c2_1(X43)
        | c0_1(X43) )
    | ~ spl52_42
    | ~ spl52_43 ),
    inference(forward_subsumption_resolution,[],[f531,f535]) ).

fof(f1462,plain,
    ( ~ c3_1(a2070)
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_134 ),
    inference(resolution,[],[f1370,f1002]) ).

fof(f1468,plain,
    ( ~ c3_1(a2149)
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_66 ),
    inference(resolution,[],[f1370,f653]) ).

fof(f1471,plain,
    ( $false
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_65
    | ~ spl52_66 ),
    inference(forward_subsumption_resolution,[],[f1468,f648]) ).

fof(f1472,plain,
    ( ~ spl52_19
    | ~ spl52_29
    | ~ spl52_65
    | ~ spl52_66 ),
    inference(avatar_contradiction_clause,[],[f1471]) ).

fof(f1473,plain,
    ( $false
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(forward_subsumption_resolution,[],[f1462,f997]) ).

fof(f1474,plain,
    ( ~ spl52_19
    | ~ spl52_29
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(avatar_contradiction_clause,[],[f1473]) ).

fof(f1475,plain,
    ( c1_1(a2068)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_137 ),
    inference(resolution,[],[f1371,f1018]) ).

fof(f1478,plain,
    ( c1_1(a2149)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_65 ),
    inference(resolution,[],[f1371,f648]) ).

fof(f1485,plain,
    ( ~ c3_1(a2070)
    | ~ spl52_23
    | ~ spl52_134
    | ~ spl52_142 ),
    inference(resolution,[],[f1377,f1002]) ).

fof(f1491,plain,
    ( ~ c3_1(a2149)
    | ~ spl52_23
    | ~ spl52_66
    | ~ spl52_142 ),
    inference(resolution,[],[f1377,f653]) ).

fof(f1492,plain,
    ( ~ c3_1(a2069)
    | ~ spl52_23
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(resolution,[],[f1377,f606]) ).

fof(f1493,plain,
    ( ~ c3_1(a2073)
    | ~ spl52_23
    | ~ spl52_54
    | ~ spl52_142 ),
    inference(resolution,[],[f1377,f590]) ).

fof(f1497,plain,
    ( $false
    | ~ spl52_23
    | ~ spl52_65
    | ~ spl52_66
    | ~ spl52_142 ),
    inference(forward_subsumption_resolution,[],[f1491,f648]) ).

fof(f1498,plain,
    ( ~ spl52_23
    | ~ spl52_65
    | ~ spl52_66
    | ~ spl52_142 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1499,plain,
    ( $false
    | ~ spl52_23
    | ~ spl52_133
    | ~ spl52_134
    | ~ spl52_142 ),
    inference(forward_subsumption_resolution,[],[f1485,f997]) ).

fof(f1500,plain,
    ( ~ spl52_23
    | ~ spl52_133
    | ~ spl52_134
    | ~ spl52_142 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1506,plain,
    ( c3_1(a2099)
    | ~ spl52_35
    | spl52_89
    | ~ spl52_154 ),
    inference(resolution,[],[f1379,f771]) ).

fof(f1509,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | c2_1(X72) )
    | ~ spl52_23
    | ~ spl52_186 ),
    inference(forward_subsumption_resolution,[],[f1265,f449]) ).

fof(f1556,plain,
    ( c3_1(a2172)
    | ~ spl52_44
    | spl52_59
    | ~ spl52_166 ),
    inference(resolution,[],[f1398,f616]) ).

fof(f1579,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c2_1(X43) )
    | ~ spl52_23
    | ~ spl52_42 ),
    inference(forward_subsumption_resolution,[],[f531,f449]) ).

fof(f1604,plain,
    ( spl52_88
    | ~ spl52_35
    | spl52_89
    | ~ spl52_154 ),
    inference(avatar_split_clause,[],[f1506,f1095,f769,f500,f764]) ).

fof(f1607,plain,
    ( ~ c3_1(a2074)
    | ~ spl52_19
    | ~ spl52_38
    | ~ spl52_125 ),
    inference(resolution,[],[f1372,f955]) ).

fof(f1615,plain,
    ( $false
    | ~ spl52_19
    | ~ spl52_38
    | ~ spl52_124
    | ~ spl52_125 ),
    inference(forward_subsumption_resolution,[],[f1607,f950]) ).

fof(f1616,plain,
    ( ~ spl52_19
    | ~ spl52_38
    | ~ spl52_124
    | ~ spl52_125 ),
    inference(avatar_contradiction_clause,[],[f1615]) ).

fof(f1644,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4) )
    | ~ spl52_142
    | ~ spl52_190 ),
    inference(forward_subsumption_resolution,[],[f1041,f1287]) ).

fof(f1662,plain,
    ( c0_1(a2095)
    | ~ spl52_42
    | ~ spl52_43
    | spl52_98 ),
    inference(resolution,[],[f816,f1447]) ).

fof(f1663,plain,
    ( $false
    | ~ spl52_42
    | ~ spl52_43
    | spl52_98
    | spl52_99 ),
    inference(forward_subsumption_resolution,[],[f1662,f821]) ).

fof(f1664,plain,
    ( ~ spl52_42
    | ~ spl52_43
    | spl52_98
    | spl52_99 ),
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1678,plain,
    ( c0_1(a2068)
    | ~ spl52_37
    | ~ spl52_42
    | ~ spl52_137 ),
    inference(resolution,[],[f1374,f1018]) ).

fof(f1725,plain,
    ( $false
    | ~ spl52_37
    | ~ spl52_42
    | spl52_136
    | ~ spl52_137 ),
    inference(forward_subsumption_resolution,[],[f1678,f1013]) ).

fof(f1726,plain,
    ( ~ spl52_37
    | ~ spl52_42
    | spl52_136
    | ~ spl52_137 ),
    inference(avatar_contradiction_clause,[],[f1725]) ).

fof(f1746,plain,
    ( spl52_64
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_65 ),
    inference(avatar_split_clause,[],[f1478,f646,f496,f466,f641]) ).

fof(f1753,plain,
    ( ~ spl52_52
    | ~ spl52_23
    | ~ spl52_54
    | ~ spl52_142 ),
    inference(avatar_split_clause,[],[f1493,f1040,f588,f448,f578]) ).

fof(f1815,plain,
    ( c0_1(a2068)
    | ~ spl52_45
    | spl52_135
    | ~ spl52_140 ),
    inference(resolution,[],[f1376,f1008]) ).

fof(f1824,plain,
    ( $false
    | ~ spl52_45
    | spl52_135
    | spl52_136
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f1815,f1013]) ).

fof(f1825,plain,
    ( ~ spl52_45
    | spl52_135
    | spl52_136
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1830,plain,
    ( c1_1(a2087)
    | ~ spl52_27
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(resolution,[],[f1409,f857]) ).

fof(f1832,plain,
    ( c1_1(a2110)
    | ~ spl52_27
    | ~ spl52_83
    | ~ spl52_146 ),
    inference(resolution,[],[f1409,f740]) ).

fof(f1845,plain,
    ( $false
    | ~ spl52_27
    | spl52_82
    | ~ spl52_83
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f1832,f735]) ).

fof(f1846,plain,
    ( ~ spl52_27
    | spl52_82
    | ~ spl52_83
    | ~ spl52_146 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1849,plain,
    ( $false
    | ~ spl52_27
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f1830,f852]) ).

fof(f1850,plain,
    ( ~ spl52_27
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1902,plain,
    ( ~ c0_1(a2071)
    | ~ spl52_130
    | ~ spl52_142
    | ~ spl52_190 ),
    inference(resolution,[],[f1644,f981]) ).

fof(f1918,plain,
    ( $false
    | ~ spl52_130
    | ~ spl52_131
    | ~ spl52_142
    | ~ spl52_190 ),
    inference(forward_subsumption_resolution,[],[f1902,f986]) ).

fof(f1919,plain,
    ( ~ spl52_130
    | ~ spl52_131
    | ~ spl52_142
    | ~ spl52_190 ),
    inference(avatar_contradiction_clause,[],[f1918]) ).

fof(f1922,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | c3_1(X77) )
    | ~ spl52_27
    | ~ spl52_35
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f501,f1409]) ).

fof(f1926,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c2_1(X21) )
    | ~ spl52_154
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f1096,f1116]) ).

fof(f1963,plain,
    ( c0_1(a2072)
    | ~ spl52_45
    | spl52_127
    | ~ spl52_144 ),
    inference(resolution,[],[f1378,f965]) ).

fof(f1977,plain,
    ( $false
    | ~ spl52_45
    | spl52_127
    | spl52_128
    | ~ spl52_144 ),
    inference(forward_subsumption_resolution,[],[f1963,f970]) ).

fof(f1978,plain,
    ( ~ spl52_45
    | spl52_127
    | spl52_128
    | ~ spl52_144 ),
    inference(avatar_contradiction_clause,[],[f1977]) ).

fof(f2024,plain,
    ( c2_1(a2068)
    | ~ spl52_23
    | ~ spl52_42
    | ~ spl52_137 ),
    inference(resolution,[],[f1579,f1018]) ).

fof(f2073,plain,
    ( ! [X49] :
        ( ~ c2_1(X49)
        | c0_1(X49) )
    | ~ spl52_144
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f1196,f1049]) ).

fof(f2129,plain,
    ( c3_1(a2095)
    | ~ spl52_35
    | spl52_98
    | ~ spl52_154 ),
    inference(resolution,[],[f1379,f816]) ).

fof(f2212,plain,
    ( ~ c2_1(a2160)
    | ~ c0_1(a2160)
    | ~ spl52_21
    | ~ spl52_63 ),
    inference(resolution,[],[f441,f637]) ).

fof(f2218,plain,
    ( ~ c3_1(a2084)
    | c1_1(a2084)
    | ~ spl52_27
    | ~ spl52_110 ),
    inference(resolution,[],[f467,f877]) ).

fof(f2221,plain,
    ( ~ c3_1(a2110)
    | c1_1(a2110)
    | ~ spl52_27
    | ~ spl52_83 ),
    inference(resolution,[],[f467,f740]) ).

fof(f2223,plain,
    ( ~ c3_1(a2140)
    | c1_1(a2140)
    | ~ spl52_27
    | ~ spl52_69 ),
    inference(resolution,[],[f467,f669]) ).

fof(f2228,plain,
    ( c1_1(a2140)
    | ~ spl52_27
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(forward_subsumption_resolution,[],[f2223,f664]) ).

fof(f2229,plain,
    ( ~ c3_1(a2110)
    | ~ spl52_27
    | spl52_82
    | ~ spl52_83 ),
    inference(forward_subsumption_resolution,[],[f2221,f735]) ).

fof(f2230,plain,
    ( c1_1(a2084)
    | ~ spl52_27
    | ~ spl52_109
    | ~ spl52_110 ),
    inference(forward_subsumption_resolution,[],[f2218,f872]) ).

fof(f2231,plain,
    ( $false
    | ~ spl52_27
    | spl52_107
    | ~ spl52_109
    | ~ spl52_110 ),
    inference(forward_subsumption_resolution,[],[f2230,f863]) ).

fof(f2232,plain,
    ( ~ spl52_27
    | spl52_107
    | ~ spl52_109
    | ~ spl52_110 ),
    inference(avatar_contradiction_clause,[],[f2231]) ).

fof(f2235,plain,
    ( spl52_58
    | ~ spl52_44
    | spl52_59
    | ~ spl52_166 ),
    inference(avatar_split_clause,[],[f1556,f1159,f614,f538,f609]) ).

fof(f2238,plain,
    ( c0_1(a2082)
    | ~ spl52_37
    | ~ spl52_41
    | ~ spl52_112 ),
    inference(resolution,[],[f1373,f887]) ).

fof(f2244,plain,
    ( c0_1(a2140)
    | ~ spl52_37
    | ~ spl52_41
    | ~ spl52_69 ),
    inference(resolution,[],[f1373,f669]) ).

fof(f2248,plain,
    ( $false
    | ~ spl52_37
    | ~ spl52_41
    | spl52_67
    | ~ spl52_69 ),
    inference(forward_subsumption_resolution,[],[f2244,f659]) ).

fof(f2249,plain,
    ( ~ spl52_37
    | ~ spl52_41
    | spl52_67
    | ~ spl52_69 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2257,plain,
    ( c3_1(a2087)
    | ~ spl52_32
    | ~ spl52_44
    | spl52_105 ),
    inference(resolution,[],[f1375,f852]) ).

fof(f2270,plain,
    ( $false
    | ~ spl52_32
    | ~ spl52_44
    | spl52_104
    | spl52_105 ),
    inference(forward_subsumption_resolution,[],[f2257,f847]) ).

fof(f2271,plain,
    ( ~ spl52_32
    | ~ spl52_44
    | spl52_104
    | spl52_105 ),
    inference(avatar_contradiction_clause,[],[f2270]) ).

fof(f2274,plain,
    ( c0_1(a2082)
    | ~ spl52_112
    | ~ spl52_144
    | ~ spl52_173 ),
    inference(resolution,[],[f2073,f887]) ).

fof(f2286,plain,
    ( $false
    | spl52_111
    | ~ spl52_112
    | ~ spl52_144
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f2274,f882]) ).

fof(f2287,plain,
    ( spl52_111
    | ~ spl52_112
    | ~ spl52_144
    | ~ spl52_173 ),
    inference(avatar_contradiction_clause,[],[f2286]) ).

fof(f2288,plain,
    ( ~ c3_1(a2070)
    | c2_1(a2070)
    | ~ spl52_23
    | ~ spl52_134 ),
    inference(resolution,[],[f449,f1002]) ).

fof(f2290,plain,
    ( ~ c3_1(a2078)
    | c2_1(a2078)
    | ~ spl52_23
    | ~ spl52_119 ),
    inference(resolution,[],[f449,f923]) ).

fof(f2300,plain,
    ( ~ c3_1(a2073)
    | c2_1(a2073)
    | ~ spl52_23
    | ~ spl52_54 ),
    inference(resolution,[],[f449,f590]) ).

fof(f2307,plain,
    ( ~ c3_1(a2078)
    | ~ spl52_23
    | spl52_117
    | ~ spl52_119 ),
    inference(forward_subsumption_resolution,[],[f2290,f913]) ).

fof(f2308,plain,
    ( c2_1(a2070)
    | ~ spl52_23
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(forward_subsumption_resolution,[],[f2288,f997]) ).

fof(f2309,plain,
    ( $false
    | ~ spl52_23
    | spl52_132
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(forward_subsumption_resolution,[],[f2308,f992]) ).

fof(f2310,plain,
    ( ~ spl52_23
    | spl52_132
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2311,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68) )
    | ~ spl52_38
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f514,f1160]) ).

fof(f2313,plain,
    ( spl52_111
    | ~ spl52_37
    | ~ spl52_41
    | ~ spl52_112 ),
    inference(avatar_split_clause,[],[f2238,f885,f526,f508,f880]) ).

fof(f2365,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | c1_1(X99) )
    | ~ spl52_29
    | ~ spl52_32 ),
    inference(forward_subsumption_resolution,[],[f475,f488]) ).

fof(f2375,plain,
    ( c0_1(a2172)
    | ~ spl52_37
    | ~ spl52_41
    | ~ spl52_60
    | ~ spl52_140 ),
    inference(resolution,[],[f1394,f621]) ).

fof(f2380,plain,
    ( $false
    | ~ spl52_37
    | ~ spl52_41
    | spl52_59
    | ~ spl52_60
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f2375,f616]) ).

fof(f2381,plain,
    ( ~ spl52_37
    | ~ spl52_41
    | spl52_59
    | ~ spl52_60
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f2380]) ).

fof(f2409,plain,
    ( c0_1(a2082)
    | ~ spl52_38
    | ~ spl52_113
    | ~ spl52_166 ),
    inference(resolution,[],[f2311,f892]) ).

fof(f2413,plain,
    ( c0_1(a2172)
    | ~ spl52_38
    | ~ spl52_60
    | ~ spl52_166 ),
    inference(resolution,[],[f2311,f621]) ).

fof(f2418,plain,
    ( $false
    | ~ spl52_38
    | spl52_59
    | ~ spl52_60
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f2413,f616]) ).

fof(f2419,plain,
    ( ~ spl52_38
    | spl52_59
    | ~ spl52_60
    | ~ spl52_166 ),
    inference(avatar_contradiction_clause,[],[f2418]) ).

fof(f2446,plain,
    ( c1_1(a2110)
    | ~ spl52_29
    | ~ spl52_32
    | ~ spl52_84 ),
    inference(resolution,[],[f2365,f745]) ).

fof(f2448,plain,
    ( c1_1(a2149)
    | ~ spl52_29
    | ~ spl52_32
    | ~ spl52_66 ),
    inference(resolution,[],[f2365,f653]) ).

fof(f2454,plain,
    ( $false
    | ~ spl52_29
    | ~ spl52_32
    | spl52_64
    | ~ spl52_66 ),
    inference(forward_subsumption_resolution,[],[f2448,f643]) ).

fof(f2455,plain,
    ( ~ spl52_29
    | ~ spl52_32
    | spl52_64
    | ~ spl52_66 ),
    inference(avatar_contradiction_clause,[],[f2454]) ).

fof(f2456,plain,
    ( $false
    | ~ spl52_29
    | ~ spl52_32
    | spl52_82
    | ~ spl52_84 ),
    inference(forward_subsumption_resolution,[],[f2446,f735]) ).

fof(f2457,plain,
    ( ~ spl52_29
    | ~ spl52_32
    | spl52_82
    | ~ spl52_84 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2468,plain,
    ( $false
    | ~ spl52_38
    | spl52_111
    | ~ spl52_113
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f2409,f882]) ).

fof(f2469,plain,
    ( ~ spl52_38
    | spl52_111
    | ~ spl52_113
    | ~ spl52_166 ),
    inference(avatar_contradiction_clause,[],[f2468]) ).

fof(f2470,plain,
    ( c2_1(a2073)
    | ~ spl52_23
    | ~ spl52_52
    | ~ spl52_54 ),
    inference(forward_subsumption_resolution,[],[f2300,f580]) ).

fof(f2485,plain,
    ( ! [X27] :
        ( c0_1(X27)
        | c3_1(X27) )
    | ~ spl52_41
    | ~ spl52_43 ),
    inference(forward_subsumption_resolution,[],[f535,f527]) ).

fof(f2488,plain,
    ( c3_1(a2072)
    | ~ spl52_41
    | ~ spl52_43
    | spl52_128 ),
    inference(resolution,[],[f2485,f970]) ).

fof(f2495,plain,
    ( c3_1(a2172)
    | ~ spl52_41
    | ~ spl52_43
    | spl52_59 ),
    inference(resolution,[],[f2485,f616]) ).

fof(f2496,plain,
    ( spl52_58
    | ~ spl52_41
    | ~ spl52_43
    | spl52_59 ),
    inference(avatar_split_clause,[],[f2495,f614,f534,f526,f609]) ).

fof(f2501,plain,
    ( c2_1(a2116)
    | ~ c0_1(a2116)
    | ~ spl52_24
    | ~ spl52_81 ),
    inference(resolution,[],[f453,f729]) ).

fof(f2506,plain,
    ( ~ c0_1(a2116)
    | ~ spl52_24
    | spl52_80
    | ~ spl52_81 ),
    inference(forward_subsumption_resolution,[],[f2501,f724]) ).

fof(f2514,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c0_1(X1) )
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f1032,f1196]) ).

fof(f2536,plain,
    ( c0_1(a2076)
    | ~ spl52_122
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(resolution,[],[f2514,f939]) ).

fof(f2547,plain,
    ( ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1) )
    | ~ spl52_24
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f1032,f453]) ).

fof(f2548,plain,
    ( c2_1(a2074)
    | ~ spl52_24
    | ~ spl52_125
    | ~ spl52_140 ),
    inference(resolution,[],[f2547,f955]) ).

fof(f2551,plain,
    ( c2_1(a2116)
    | ~ spl52_24
    | ~ spl52_81
    | ~ spl52_140 ),
    inference(resolution,[],[f2547,f729]) ).

fof(f2556,plain,
    ( $false
    | ~ spl52_24
    | spl52_80
    | ~ spl52_81
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f2551,f724]) ).

fof(f2557,plain,
    ( ~ spl52_24
    | spl52_80
    | ~ spl52_81
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f2556]) ).

fof(f2558,plain,
    ( $false
    | ~ spl52_24
    | spl52_123
    | ~ spl52_125
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f2548,f945]) ).

fof(f2559,plain,
    ( ~ spl52_24
    | spl52_123
    | ~ spl52_125
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f2558]) ).

fof(f2564,plain,
    ( c1_1(a2078)
    | c3_1(a2078)
    | ~ spl52_32
    | ~ spl52_119 ),
    inference(resolution,[],[f488,f923]) ).

fof(f2566,plain,
    ( c1_1(a2093)
    | c3_1(a2093)
    | ~ spl52_32
    | ~ spl52_103 ),
    inference(resolution,[],[f488,f842]) ).

fof(f2568,plain,
    ( c1_1(a2110)
    | c3_1(a2110)
    | ~ spl52_32
    | ~ spl52_84 ),
    inference(resolution,[],[f488,f745]) ).

fof(f2576,plain,
    ( c3_1(a2110)
    | ~ spl52_32
    | spl52_82
    | ~ spl52_84 ),
    inference(forward_subsumption_resolution,[],[f2568,f735]) ).

fof(f2578,plain,
    ( c3_1(a2093)
    | ~ spl52_32
    | spl52_102
    | ~ spl52_103 ),
    inference(forward_subsumption_resolution,[],[f2566,f837]) ).

fof(f2579,plain,
    ( c3_1(a2078)
    | ~ spl52_32
    | spl52_118
    | ~ spl52_119 ),
    inference(forward_subsumption_resolution,[],[f2564,f918]) ).

fof(f2581,plain,
    ( $false
    | ~ spl52_32
    | spl52_101
    | spl52_102
    | ~ spl52_103 ),
    inference(forward_subsumption_resolution,[],[f2578,f832]) ).

fof(f2582,plain,
    ( ~ spl52_32
    | spl52_101
    | spl52_102
    | ~ spl52_103 ),
    inference(avatar_contradiction_clause,[],[f2581]) ).

fof(f2583,plain,
    ( $false
    | ~ spl52_23
    | ~ spl52_32
    | spl52_117
    | spl52_118
    | ~ spl52_119 ),
    inference(forward_subsumption_resolution,[],[f2579,f2307]) ).

fof(f2584,plain,
    ( ~ spl52_23
    | ~ spl52_32
    | spl52_117
    | spl52_118
    | ~ spl52_119 ),
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2656,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ spl52_41
    | ~ spl52_112 ),
    inference(resolution,[],[f527,f887]) ).

fof(f2664,plain,
    ( c0_1(a2160)
    | c3_1(a2160)
    | ~ spl52_41
    | ~ spl52_62 ),
    inference(resolution,[],[f527,f632]) ).

fof(f2668,plain,
    ( c0_1(a2160)
    | ~ spl52_41
    | spl52_61
    | ~ spl52_62 ),
    inference(forward_subsumption_resolution,[],[f2664,f627]) ).

fof(f2670,plain,
    ( c3_1(a2082)
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112 ),
    inference(forward_subsumption_resolution,[],[f2656,f882]) ).

fof(f2673,plain,
    ( c2_1(a2072)
    | c0_1(a2072)
    | ~ spl52_45
    | spl52_127 ),
    inference(resolution,[],[f543,f965]) ).

fof(f2682,plain,
    ( c2_1(a2130)
    | c0_1(a2130)
    | ~ spl52_45
    | spl52_75 ),
    inference(resolution,[],[f543,f699]) ).

fof(f2686,plain,
    ( c2_1(a2130)
    | ~ spl52_23
    | ~ spl52_45
    | spl52_75
    | ~ spl52_186 ),
    inference(forward_subsumption_resolution,[],[f2682,f1509]) ).

fof(f2733,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(resolution,[],[f1058,f857]) ).

fof(f2744,plain,
    ( c3_1(a2087)
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f2733,f852]) ).

fof(f2745,plain,
    ( $false
    | spl52_104
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f2744,f847]) ).

fof(f2746,plain,
    ( spl52_104
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(avatar_contradiction_clause,[],[f2745]) ).

fof(f2750,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_32
    | spl52_82
    | ~ spl52_83
    | ~ spl52_84 ),
    inference(forward_subsumption_resolution,[],[f2229,f2576]) ).

fof(f2751,plain,
    ( ~ spl52_27
    | ~ spl52_32
    | spl52_82
    | ~ spl52_83
    | ~ spl52_84 ),
    inference(avatar_contradiction_clause,[],[f2750]) ).

fof(f2759,plain,
    ( spl52_74
    | ~ spl52_23
    | ~ spl52_45
    | spl52_75
    | ~ spl52_186 ),
    inference(avatar_split_clause,[],[f2686,f1264,f697,f542,f448,f692]) ).

fof(f2817,plain,
    ( ! [X27] :
        ( c2_1(X27)
        | c3_1(X27) )
    | ~ spl52_23
    | ~ spl52_43
    | ~ spl52_186 ),
    inference(forward_subsumption_resolution,[],[f535,f1509]) ).

fof(f2819,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68) )
    | ~ spl52_38
    | ~ spl52_152 ),
    inference(forward_subsumption_resolution,[],[f514,f1088]) ).

fof(f2846,plain,
    ( c0_1(a2095)
    | ~ spl52_35
    | ~ spl52_38
    | spl52_98
    | ~ spl52_152
    | ~ spl52_154 ),
    inference(resolution,[],[f2819,f2129]) ).

fof(f2861,plain,
    ( $false
    | ~ spl52_35
    | ~ spl52_38
    | spl52_98
    | spl52_99
    | ~ spl52_152
    | ~ spl52_154 ),
    inference(forward_subsumption_resolution,[],[f2846,f821]) ).

fof(f2862,plain,
    ( ~ spl52_35
    | ~ spl52_38
    | spl52_98
    | spl52_99
    | ~ spl52_152
    | ~ spl52_154 ),
    inference(avatar_contradiction_clause,[],[f2861]) ).

fof(f2889,plain,
    ( c3_1(a2130)
    | ~ spl52_23
    | ~ spl52_43
    | spl52_74
    | ~ spl52_186 ),
    inference(resolution,[],[f2817,f694]) ).

fof(f2890,plain,
    ( $false
    | ~ spl52_23
    | ~ spl52_43
    | spl52_73
    | spl52_74
    | ~ spl52_186 ),
    inference(forward_subsumption_resolution,[],[f2889,f689]) ).

fof(f2891,plain,
    ( ~ spl52_23
    | ~ spl52_43
    | spl52_73
    | spl52_74
    | ~ spl52_186 ),
    inference(avatar_contradiction_clause,[],[f2890]) ).

fof(f2912,plain,
    ( $false
    | spl52_120
    | ~ spl52_122
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f2536,f929]) ).

fof(f2913,plain,
    ( spl52_120
    | ~ spl52_122
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(avatar_contradiction_clause,[],[f2912]) ).

fof(f2986,plain,
    ( ~ c3_1(a2069)
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_57 ),
    inference(resolution,[],[f1370,f606]) ).

fof(f2994,plain,
    ( ~ c0_1(a2160)
    | ~ spl52_21
    | ~ spl52_62
    | ~ spl52_63 ),
    inference(forward_subsumption_resolution,[],[f2212,f632]) ).

fof(f3001,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c0_1(X11) )
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_44 ),
    inference(forward_subsumption_resolution,[],[f539,f1371]) ).

fof(f3006,plain,
    ( $false
    | ~ spl52_21
    | ~ spl52_41
    | spl52_61
    | ~ spl52_62
    | ~ spl52_63 ),
    inference(forward_subsumption_resolution,[],[f2994,f2668]) ).

fof(f3007,plain,
    ( ~ spl52_21
    | ~ spl52_41
    | spl52_61
    | ~ spl52_62
    | ~ spl52_63 ),
    inference(avatar_contradiction_clause,[],[f3006]) ).

fof(f3019,plain,
    ( spl52_135
    | ~ spl52_23
    | ~ spl52_42
    | ~ spl52_137 ),
    inference(avatar_split_clause,[],[f2024,f1016,f530,f448,f1006]) ).

fof(f3093,plain,
    ( spl52_126
    | ~ spl52_41
    | ~ spl52_43
    | spl52_128 ),
    inference(avatar_split_clause,[],[f2488,f968,f534,f526,f958]) ).

fof(f3139,plain,
    ( ~ spl52_55
    | ~ spl52_19
    | ~ spl52_29
    | ~ spl52_57 ),
    inference(avatar_split_clause,[],[f2986,f604,f474,f432,f594]) ).

fof(f3145,plain,
    ( c0_1(a2096)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_44
    | spl52_95 ),
    inference(resolution,[],[f3001,f801]) ).

fof(f3155,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_44
    | spl52_95
    | spl52_96 ),
    inference(forward_subsumption_resolution,[],[f3145,f806]) ).

fof(f3156,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | ~ spl52_44
    | spl52_95
    | spl52_96 ),
    inference(avatar_contradiction_clause,[],[f3155]) ).

fof(f3160,definition,
    ( spl52_207
  <=> c2_1(a2072) ),
    introduced(definition,[new_symbols(definition,[spl52_207])],[avatar_definition]) ).

fof(f3161,plain,
    ( ~ c2_1(a2072)
    | spl52_207 ),
    inference(avatar_component_clause,[],[f3160]) ).

fof(f3162,plain,
    ( c2_1(a2072)
    | ~ spl52_207 ),
    inference(avatar_component_clause,[],[f3160]) ).

fof(f3283,plain,
    ( c2_1(a2095)
    | ~ spl52_100
    | ~ spl52_154
    | ~ spl52_158 ),
    inference(resolution,[],[f1926,f826]) ).

fof(f3294,plain,
    ( $false
    | spl52_98
    | ~ spl52_100
    | ~ spl52_154
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f3283,f816]) ).

fof(f3295,plain,
    ( spl52_98
    | ~ spl52_100
    | ~ spl52_154
    | ~ spl52_158 ),
    inference(avatar_contradiction_clause,[],[f3294]) ).

fof(f3312,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c2_1(X26) )
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f1116,f1371]) ).

fof(f3334,plain,
    ( c0_1(a2082)
    | ~ spl52_113
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(resolution,[],[f2514,f892]) ).

fof(f3339,plain,
    ( c0_1(a2140)
    | ~ spl52_27
    | ~ spl52_68
    | ~ spl52_69
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(resolution,[],[f2514,f2228]) ).

fof(f3341,plain,
    ( c0_1(a2172)
    | ~ spl52_60
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(resolution,[],[f2514,f621]) ).

fof(f3345,plain,
    ( $false
    | spl52_59
    | ~ spl52_60
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f3341,f616]) ).

fof(f3346,plain,
    ( spl52_59
    | ~ spl52_60
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(avatar_contradiction_clause,[],[f3345]) ).

fof(f3347,plain,
    ( $false
    | ~ spl52_27
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f3339,f659]) ).

fof(f3348,plain,
    ( ~ spl52_27
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(avatar_contradiction_clause,[],[f3347]) ).

fof(f3353,plain,
    ( $false
    | spl52_111
    | ~ spl52_113
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(forward_subsumption_resolution,[],[f3334,f882]) ).

fof(f3354,plain,
    ( spl52_111
    | ~ spl52_113
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(avatar_contradiction_clause,[],[f3353]) ).

fof(f3397,plain,
    ( c2_1(a2068)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_137
    | ~ spl52_158 ),
    inference(resolution,[],[f3312,f1018]) ).

fof(f3398,plain,
    ( c2_1(a2070)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_133
    | ~ spl52_158 ),
    inference(resolution,[],[f3312,f997]) ).

fof(f3407,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_34
    | spl52_132
    | ~ spl52_133
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f3398,f992]) ).

fof(f3408,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_132
    | ~ spl52_133
    | ~ spl52_158 ),
    inference(avatar_contradiction_clause,[],[f3407]) ).

fof(f3409,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | ~ spl52_137
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f3397,f1008]) ).

fof(f3410,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | ~ spl52_137
    | ~ spl52_158 ),
    inference(avatar_contradiction_clause,[],[f3409]) ).

fof(f3463,plain,
    ( c0_1(a2068)
    | c2_1(a2068)
    | ~ spl52_42
    | ~ spl52_137 ),
    inference(resolution,[],[f531,f1018]) ).

fof(f3474,plain,
    ( c2_1(a2068)
    | ~ spl52_42
    | spl52_136
    | ~ spl52_137 ),
    inference(forward_subsumption_resolution,[],[f3463,f1013]) ).

fof(f3549,plain,
    ( c0_1(a2068)
    | c2_1(a2068)
    | ~ spl52_27
    | ~ spl52_34
    | ~ spl52_137
    | ~ spl52_140 ),
    inference(resolution,[],[f1032,f1475]) ).

fof(f3558,plain,
    ( c0_1(a2095)
    | c2_1(a2095)
    | ~ spl52_100
    | ~ spl52_140 ),
    inference(resolution,[],[f1032,f826]) ).

fof(f3569,plain,
    ( c2_1(a2095)
    | spl52_99
    | ~ spl52_100
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f3558,f821]) ).

fof(f3572,plain,
    ( c2_1(a2068)
    | ~ spl52_27
    | ~ spl52_34
    | spl52_136
    | ~ spl52_137
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f3549,f1013]) ).

fof(f3573,plain,
    ( $false
    | spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f3569,f816]) ).

fof(f3574,plain,
    ( spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f3573]) ).

fof(f3576,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | spl52_136
    | ~ spl52_137
    | ~ spl52_140 ),
    inference(forward_subsumption_resolution,[],[f3572,f1008]) ).

fof(f3577,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | spl52_136
    | ~ spl52_137
    | ~ spl52_140 ),
    inference(avatar_contradiction_clause,[],[f3576]) ).

fof(f3607,plain,
    ( c3_1(a2072)
    | ~ spl52_27
    | ~ spl52_35
    | spl52_127
    | ~ spl52_146 ),
    inference(resolution,[],[f1922,f965]) ).

fof(f3621,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_35
    | spl52_126
    | spl52_127
    | ~ spl52_146 ),
    inference(forward_subsumption_resolution,[],[f3607,f960]) ).

fof(f3622,plain,
    ( ~ spl52_27
    | ~ spl52_35
    | spl52_126
    | spl52_127
    | ~ spl52_146 ),
    inference(avatar_contradiction_clause,[],[f3621]) ).

fof(f3623,plain,
    ( ! [X110] :
        ( ~ c2_1(X110)
        | c3_1(X110) )
    | ~ spl52_27
    | ~ spl52_146
    | ~ spl52_203 ),
    inference(forward_subsumption_resolution,[],[f1361,f1409]) ).

fof(f3625,plain,
    ( c3_1(a2071)
    | ~ spl52_27
    | ~ spl52_130
    | ~ spl52_146
    | ~ spl52_203 ),
    inference(resolution,[],[f3623,f981]) ).

fof(f3644,plain,
    ( $false
    | ~ spl52_27
    | spl52_129
    | ~ spl52_130
    | ~ spl52_146
    | ~ spl52_203 ),
    inference(forward_subsumption_resolution,[],[f3625,f976]) ).

fof(f3645,plain,
    ( ~ spl52_27
    | spl52_129
    | ~ spl52_130
    | ~ spl52_146
    | ~ spl52_203 ),
    inference(avatar_contradiction_clause,[],[f3644]) ).

fof(f3647,plain,
    ( ~ spl52_55
    | ~ spl52_23
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(avatar_split_clause,[],[f1492,f1040,f604,f448,f594]) ).

fof(f3649,definition,
    ( spl52_211
  <=> c2_1(a2073) ),
    introduced(definition,[new_symbols(definition,[spl52_211])],[avatar_definition]) ).

fof(f3651,plain,
    ( c2_1(a2073)
    | ~ spl52_211 ),
    inference(avatar_component_clause,[],[f3649]) ).

fof(f3660,plain,
    ( c2_1(a2072)
    | ~ spl52_45
    | spl52_127
    | spl52_128 ),
    inference(forward_subsumption_resolution,[],[f2673,f970]) ).

fof(f3670,plain,
    ( spl52_207
    | ~ spl52_45
    | spl52_127
    | spl52_128 ),
    inference(avatar_split_clause,[],[f3660,f968,f963,f542,f3160]) ).

fof(f3744,plain,
    ( c3_1(a2116)
    | c0_1(a2116)
    | ~ spl52_43
    | spl52_80 ),
    inference(resolution,[],[f535,f724]) ).

fof(f3749,plain,
    ( c0_1(a2116)
    | ~ spl52_43
    | spl52_79
    | spl52_80 ),
    inference(forward_subsumption_resolution,[],[f3744,f719]) ).

fof(f3750,plain,
    ( $false
    | ~ spl52_24
    | ~ spl52_43
    | spl52_79
    | spl52_80
    | ~ spl52_81 ),
    inference(forward_subsumption_resolution,[],[f3749,f2506]) ).

fof(f3751,plain,
    ( ~ spl52_24
    | ~ spl52_43
    | spl52_79
    | spl52_80
    | ~ spl52_81 ),
    inference(avatar_contradiction_clause,[],[f3750]) ).

fof(f3767,plain,
    ( c3_1(a2095)
    | ~ spl52_44
    | spl52_99
    | ~ spl52_166 ),
    inference(resolution,[],[f1398,f821]) ).

fof(f3770,plain,
    ( c3_1(a2116)
    | ~ spl52_24
    | ~ spl52_44
    | spl52_80
    | ~ spl52_81
    | ~ spl52_166 ),
    inference(resolution,[],[f1398,f2506]) ).

fof(f3774,plain,
    ( $false
    | ~ spl52_24
    | ~ spl52_44
    | spl52_79
    | spl52_80
    | ~ spl52_81
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f3770,f719]) ).

fof(f3775,plain,
    ( ~ spl52_24
    | ~ spl52_44
    | spl52_79
    | spl52_80
    | ~ spl52_81
    | ~ spl52_166 ),
    inference(avatar_contradiction_clause,[],[f3774]) ).

fof(f3799,plain,
    ( spl52_135
    | ~ spl52_42
    | spl52_136
    | ~ spl52_137 ),
    inference(avatar_split_clause,[],[f3474,f1016,f1011,f530,f1006]) ).

fof(f3888,plain,
    ( ~ c2_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl52_21
    | ~ spl52_53 ),
    inference(resolution,[],[f441,f585]) ).

fof(f3891,plain,
    ( ~ c0_1(a2073)
    | ~ spl52_21
    | ~ spl52_53
    | ~ spl52_211 ),
    inference(forward_subsumption_resolution,[],[f3888,f3651]) ).

fof(f3894,plain,
    ( $false
    | ~ spl52_21
    | ~ spl52_53
    | ~ spl52_54
    | ~ spl52_211 ),
    inference(forward_subsumption_resolution,[],[f3891,f590]) ).

fof(f3895,plain,
    ( ~ spl52_21
    | ~ spl52_53
    | ~ spl52_54
    | ~ spl52_211 ),
    inference(avatar_contradiction_clause,[],[f3894]) ).

fof(f3899,plain,
    ( c3_1(a2072)
    | c2_1(a2072)
    | ~ spl52_35
    | spl52_127 ),
    inference(resolution,[],[f501,f965]) ).

fof(f3906,plain,
    ( c3_1(a2130)
    | c2_1(a2130)
    | ~ spl52_35
    | spl52_75 ),
    inference(resolution,[],[f501,f699]) ).

fof(f3908,plain,
    ( c2_1(a2130)
    | ~ spl52_35
    | spl52_73
    | spl52_75 ),
    inference(forward_subsumption_resolution,[],[f3906,f689]) ).

fof(f3912,plain,
    ( $false
    | ~ spl52_35
    | spl52_73
    | spl52_74
    | spl52_75 ),
    inference(forward_subsumption_resolution,[],[f3908,f694]) ).

fof(f3913,plain,
    ( ~ spl52_35
    | spl52_73
    | spl52_74
    | spl52_75 ),
    inference(avatar_contradiction_clause,[],[f3912]) ).

fof(f3925,plain,
    ( ~ c3_1(a2076)
    | c0_1(a2076)
    | ~ spl52_38
    | ~ spl52_122 ),
    inference(resolution,[],[f514,f939]) ).

fof(f3927,plain,
    ( ~ c3_1(a2082)
    | c0_1(a2082)
    | ~ spl52_38
    | ~ spl52_113 ),
    inference(resolution,[],[f514,f892]) ).

fof(f3933,plain,
    ( ~ c3_1(a2140)
    | c0_1(a2140)
    | ~ spl52_27
    | ~ spl52_38
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(resolution,[],[f514,f2228]) ).

fof(f3942,plain,
    ( c0_1(a2140)
    | ~ spl52_27
    | ~ spl52_38
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(forward_subsumption_resolution,[],[f3933,f664]) ).

fof(f3946,plain,
    ( c0_1(a2082)
    | ~ spl52_38
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112
    | ~ spl52_113 ),
    inference(forward_subsumption_resolution,[],[f3927,f2670]) ).

fof(f3947,plain,
    ( c0_1(a2076)
    | ~ spl52_38
    | ~ spl52_121
    | ~ spl52_122 ),
    inference(forward_subsumption_resolution,[],[f3925,f934]) ).

fof(f3954,plain,
    ( $false
    | ~ spl52_27
    | ~ spl52_38
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(forward_subsumption_resolution,[],[f3942,f659]) ).

fof(f3955,plain,
    ( ~ spl52_27
    | ~ spl52_38
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(avatar_contradiction_clause,[],[f3954]) ).

fof(f3962,plain,
    ( $false
    | ~ spl52_38
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112
    | ~ spl52_113 ),
    inference(forward_subsumption_resolution,[],[f3946,f882]) ).

fof(f3963,plain,
    ( ~ spl52_38
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112
    | ~ spl52_113 ),
    inference(avatar_contradiction_clause,[],[f3962]) ).

fof(f3964,plain,
    ( $false
    | ~ spl52_38
    | spl52_120
    | ~ spl52_121
    | ~ spl52_122 ),
    inference(forward_subsumption_resolution,[],[f3947,f929]) ).

fof(f3965,plain,
    ( ~ spl52_38
    | spl52_120
    | ~ spl52_121
    | ~ spl52_122 ),
    inference(avatar_contradiction_clause,[],[f3964]) ).

fof(f4020,plain,
    ( c3_1(a2072)
    | c0_1(a2072)
    | ~ spl52_44
    | spl52_127 ),
    inference(resolution,[],[f539,f965]) ).

fof(f4028,plain,
    ( c0_1(a2072)
    | c3_1(a2072)
    | ~ spl52_41
    | ~ spl52_207 ),
    inference(resolution,[],[f3162,f527]) ).

fof(f4063,plain,
    ( ~ c3_1(a2069)
    | ~ c0_1(a2069)
    | ~ spl52_56
    | ~ spl52_142 ),
    inference(resolution,[],[f1041,f601]) ).

fof(f4084,plain,
    ( ~ c3_1(a2074)
    | c2_1(a2074)
    | ~ spl52_125
    | ~ spl52_158 ),
    inference(resolution,[],[f1116,f955]) ).

fof(f4090,plain,
    ( ~ c3_1(a2095)
    | c2_1(a2095)
    | ~ spl52_100
    | ~ spl52_158 ),
    inference(resolution,[],[f1116,f826]) ).

fof(f4104,plain,
    ( c2_1(a2074)
    | ~ spl52_124
    | ~ spl52_125
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f4084,f950]) ).

fof(f4106,plain,
    ( $false
    | spl52_123
    | ~ spl52_124
    | ~ spl52_125
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f4104,f945]) ).

fof(f4107,plain,
    ( spl52_123
    | ~ spl52_124
    | ~ spl52_125
    | ~ spl52_158 ),
    inference(avatar_contradiction_clause,[],[f4106]) ).

fof(f4112,plain,
    ( spl52_211
    | ~ spl52_23
    | ~ spl52_52
    | ~ spl52_54 ),
    inference(avatar_split_clause,[],[f2470,f588,f578,f448,f3649]) ).

fof(f4124,plain,
    ( c2_1(a2072)
    | ~ spl52_35
    | spl52_126
    | spl52_127 ),
    inference(forward_subsumption_resolution,[],[f3899,f960]) ).

fof(f4131,plain,
    ( $false
    | ~ spl52_35
    | spl52_126
    | spl52_127
    | spl52_207 ),
    inference(forward_subsumption_resolution,[],[f4124,f3161]) ).

fof(f4132,plain,
    ( ~ spl52_35
    | spl52_126
    | spl52_127
    | spl52_207 ),
    inference(avatar_contradiction_clause,[],[f4131]) ).

fof(f4160,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ spl52_19
    | ~ spl52_53 ),
    inference(resolution,[],[f433,f585]) ).

fof(f4164,plain,
    ( ~ c0_1(a2073)
    | ~ spl52_19
    | ~ spl52_52
    | ~ spl52_53 ),
    inference(forward_subsumption_resolution,[],[f4160,f580]) ).

fof(f4166,plain,
    ( $false
    | ~ spl52_19
    | ~ spl52_52
    | ~ spl52_53
    | ~ spl52_54 ),
    inference(forward_subsumption_resolution,[],[f4164,f590]) ).

fof(f4167,plain,
    ( ~ spl52_19
    | ~ spl52_52
    | ~ spl52_53
    | ~ spl52_54 ),
    inference(avatar_contradiction_clause,[],[f4166]) ).

fof(f4168,plain,
    ( c0_1(a2072)
    | ~ spl52_44
    | spl52_126
    | spl52_127 ),
    inference(forward_subsumption_resolution,[],[f4020,f960]) ).

fof(f4178,plain,
    ( $false
    | ~ spl52_44
    | spl52_126
    | spl52_127
    | spl52_128 ),
    inference(forward_subsumption_resolution,[],[f4168,f970]) ).

fof(f4179,plain,
    ( ~ spl52_44
    | spl52_126
    | spl52_127
    | spl52_128 ),
    inference(avatar_contradiction_clause,[],[f4178]) ).

fof(f4185,plain,
    ( ~ c3_1(a2095)
    | spl52_98
    | ~ spl52_100
    | ~ spl52_158 ),
    inference(forward_subsumption_resolution,[],[f4090,f816]) ).

fof(f4189,plain,
    ( $false
    | ~ spl52_44
    | spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_158
    | ~ spl52_166 ),
    inference(forward_subsumption_resolution,[],[f4185,f3767]) ).

fof(f4190,plain,
    ( ~ spl52_44
    | spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_158
    | ~ spl52_166 ),
    inference(avatar_contradiction_clause,[],[f4189]) ).

fof(f4201,plain,
    ( c3_1(a2072)
    | ~ spl52_41
    | spl52_128
    | ~ spl52_207 ),
    inference(forward_subsumption_resolution,[],[f4028,f970]) ).

fof(f4203,plain,
    ( ~ c0_1(a2069)
    | ~ spl52_55
    | ~ spl52_56
    | ~ spl52_142 ),
    inference(forward_subsumption_resolution,[],[f4063,f596]) ).

fof(f4211,plain,
    ( $false
    | ~ spl52_41
    | spl52_126
    | spl52_128
    | ~ spl52_207 ),
    inference(forward_subsumption_resolution,[],[f4201,f960]) ).

fof(f4212,plain,
    ( ~ spl52_41
    | spl52_126
    | spl52_128
    | ~ spl52_207 ),
    inference(avatar_contradiction_clause,[],[f4211]) ).

fof(f4213,plain,
    ( $false
    | ~ spl52_55
    | ~ spl52_56
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(forward_subsumption_resolution,[],[f4203,f606]) ).

fof(f4214,plain,
    ( ~ spl52_55
    | ~ spl52_56
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(avatar_contradiction_clause,[],[f4213]) ).

cnf(s1,plain,
    ( spl52_1
    | spl52_2
    | spl52_3 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s2,plain,
    ( spl52_3
    | spl52_4
    | spl52_5 ),
    inference(sat_conversion,[],[f371]) ).

cnf(s4,plain,
    ( spl52_1
    | spl52_7
    | spl52_9 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s5,plain,
    ( spl52_5
    | spl52_7
    | spl52_10 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s6,plain,
    ( spl52_10
    | spl52_11
    | spl52_12 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s7,plain,
    ( spl52_12
    | spl52_13 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s10,plain,
    ( spl52_12
    | spl52_17
    | ~ spl52_18
    | spl52_19 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s13,plain,
    ( spl52_17
    | ~ spl52_18
    | spl52_24 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s17,plain,
    ( spl52_4
    | ~ spl52_18
    | spl52_28
    | spl52_29 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s20,plain,
    ( spl52_11
    | ~ spl52_18
    | spl52_32
    | spl52_33 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s21,plain,
    ( spl52_1
    | ~ spl52_18
    | spl52_30
    | spl52_34 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s22,plain,
    ( spl52_11
    | spl52_12
    | ~ spl52_18
    | spl52_35 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s25,plain,
    ( ~ spl52_18
    | spl52_36
    | spl52_38 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s27,plain,
    ( spl52_3
    | ~ spl52_18
    | spl52_40
    | spl52_41 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s29,plain,
    ( spl52_7
    | ~ spl52_18
    | spl52_20
    | spl52_43 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s31,plain,
    ( spl52_6
    | spl52_13
    | ~ spl52_18
    | spl52_45 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s32,plain,
    ( spl52_11
    | ~ spl52_18
    | spl52_30
    | spl52_45 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s40,plain,
    ( ~ spl52_16
    | spl52_52 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s41,plain,
    ( ~ spl52_16
    | spl52_53 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s42,plain,
    ( ~ spl52_16
    | spl52_54 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s44,plain,
    ( ~ spl52_30
    | spl52_55 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s45,plain,
    ( ~ spl52_30
    | spl52_56 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s46,plain,
    ( ~ spl52_30
    | spl52_57 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s47,plain,
    ( ~ spl52_2
    | ~ spl52_58 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s48,plain,
    ( ~ spl52_2
    | ~ spl52_59 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s49,plain,
    ( ~ spl52_2
    | spl52_60 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s50,plain,
    ( ~ spl52_2
    | spl52_18 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s51,plain,
    ( ~ spl52_5
    | ~ spl52_61 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s52,plain,
    ( ~ spl52_5
    | spl52_62 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s53,plain,
    ( ~ spl52_5
    | spl52_63 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s55,plain,
    ( ~ spl52_10
    | ~ spl52_64 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s56,plain,
    ( ~ spl52_10
    | spl52_65 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s57,plain,
    ( ~ spl52_10
    | spl52_66 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s59,plain,
    ( ~ spl52_17
    | ~ spl52_67 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s60,plain,
    ( ~ spl52_17
    | spl52_68 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s61,plain,
    ( ~ spl52_17
    | spl52_69 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s65,plain,
    ( ~ spl52_25
    | ~ spl52_73 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s66,plain,
    ( ~ spl52_25
    | ~ spl52_74 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s67,plain,
    ( ~ spl52_25
    | ~ spl52_75 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s71,plain,
    ( ~ spl52_1
    | ~ spl52_79 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s72,plain,
    ( ~ spl52_1
    | ~ spl52_80 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s73,plain,
    ( ~ spl52_1
    | spl52_81 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s74,plain,
    ( ~ spl52_1
    | spl52_18 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s75,plain,
    ( ~ spl52_12
    | ~ spl52_82 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s76,plain,
    ( ~ spl52_12
    | spl52_83 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s77,plain,
    ( ~ spl52_12
    | spl52_84 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s82,plain,
    ( ~ spl52_14
    | ~ spl52_88 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s83,plain,
    ( ~ spl52_14
    | ~ spl52_89 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s89,plain,
    ( ~ spl52_40
    | ~ spl52_95 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s90,plain,
    ( ~ spl52_40
    | ~ spl52_96 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s92,plain,
    ( ~ spl52_3
    | ~ spl52_98 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s93,plain,
    ( ~ spl52_3
    | ~ spl52_99 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s94,plain,
    ( ~ spl52_3
    | spl52_100 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s95,plain,
    ( ~ spl52_3
    | spl52_18 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s96,plain,
    ( ~ spl52_28
    | ~ spl52_101 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s97,plain,
    ( ~ spl52_28
    | ~ spl52_102 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s98,plain,
    ( ~ spl52_28
    | spl52_103 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s99,plain,
    ( ~ spl52_4
    | ~ spl52_104 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s100,plain,
    ( ~ spl52_4
    | ~ spl52_105 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s101,plain,
    ( ~ spl52_4
    | spl52_106 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s103,plain,
    ( ~ spl52_107
    | ~ spl52_108 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s104,plain,
    ( ~ spl52_108
    | spl52_109 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s105,plain,
    ( ~ spl52_108
    | spl52_110 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s106,plain,
    ( ~ spl52_33
    | ~ spl52_111 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s107,plain,
    ( ~ spl52_33
    | spl52_112 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s108,plain,
    ( ~ spl52_33
    | spl52_113 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s113,plain,
    ( ~ spl52_9
    | ~ spl52_117 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s114,plain,
    ( ~ spl52_9
    | ~ spl52_118 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s115,plain,
    ( ~ spl52_9
    | spl52_119 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s117,plain,
    ( ~ spl52_7
    | ~ spl52_120 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s118,plain,
    ( ~ spl52_7
    | spl52_121 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s119,plain,
    ( ~ spl52_7
    | spl52_122 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s121,plain,
    ( ~ spl52_20
    | ~ spl52_123 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s122,plain,
    ( ~ spl52_20
    | spl52_124 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s123,plain,
    ( ~ spl52_20
    | spl52_125 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s124,plain,
    ( ~ spl52_6
    | ~ spl52_126 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s125,plain,
    ( ~ spl52_6
    | ~ spl52_127 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s126,plain,
    ( ~ spl52_6
    | ~ spl52_128 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s128,plain,
    ( ~ spl52_13
    | ~ spl52_129 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s129,plain,
    ( ~ spl52_13
    | spl52_130 ),
    inference(sat_conversion,[],[f982]) ).

cnf(s130,plain,
    ( ~ spl52_13
    | spl52_131 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s132,plain,
    ( ~ spl52_11
    | ~ spl52_132 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s133,plain,
    ( ~ spl52_11
    | spl52_133 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s134,plain,
    ( ~ spl52_11
    | spl52_134 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s136,plain,
    ( ~ spl52_36
    | ~ spl52_135 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s137,plain,
    ( ~ spl52_36
    | ~ spl52_136 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s138,plain,
    ( ~ spl52_36
    | spl52_137 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s139,plain,
    ( spl52_35
    | spl52_138 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s140,plain,
    ( spl52_45
    | spl52_139 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s141,plain,
    ( ~ spl52_18
    | ~ spl52_138
    | ~ spl52_139
    | spl52_140 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s142,plain,
    ( spl52_45
    | spl52_141 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s143,plain,
    ( ~ spl52_18
    | spl52_36
    | ~ spl52_141
    | spl52_142 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s144,plain,
    ( spl52_143
    | spl52_144 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s145,plain,
    ( spl52_16
    | ~ spl52_18
    | spl52_44
    | ~ spl52_143 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s146,plain,
    ( spl52_145
    | spl52_146 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s147,plain,
    ( ~ spl52_18
    | spl52_20
    | spl52_44
    | ~ spl52_145 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s153,plain,
    ( spl52_29
    | spl52_151 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s154,plain,
    ( spl52_9
    | ~ spl52_18
    | ~ spl52_151
    | spl52_152 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s160,plain,
    ( spl52_157
    | spl52_158 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s161,plain,
    ( spl52_43
    | spl52_159 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s162,plain,
    ( ~ spl52_18
    | spl52_146
    | ~ spl52_157
    | ~ spl52_159 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s163,plain,
    ( spl52_140
    | spl52_160 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s164,plain,
    ( ~ spl52_18
    | spl52_33
    | spl52_146
    | ~ spl52_160 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s167,plain,
    ( spl52_140
    | spl52_162 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s168,plain,
    ( ~ spl52_18
    | spl52_24
    | spl52_108
    | ~ spl52_162 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s169,plain,
    ( spl52_140
    | spl52_163 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s170,plain,
    ( ~ spl52_18
    | spl52_23
    | spl52_108
    | ~ spl52_163 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s171,plain,
    ( spl52_154
    | spl52_164 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s172,plain,
    ( spl52_42
    | spl52_165 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s173,plain,
    ( ~ spl52_18
    | ~ spl52_164
    | ~ spl52_165
    | spl52_166 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s174,plain,
    ( spl52_34
    | spl52_167 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s175,plain,
    ( ~ spl52_18
    | spl52_20
    | spl52_42
    | ~ spl52_167 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s176,plain,
    ( spl52_42
    | spl52_168 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s177,plain,
    ( spl52_4
    | ~ spl52_18
    | spl52_142
    | ~ spl52_168 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s178,plain,
    ( spl52_166
    | spl52_169 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s179,plain,
    ( ~ spl52_18
    | spl52_20
    | spl52_142
    | ~ spl52_169 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s182,plain,
    ( spl52_41
    | spl52_172 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s183,plain,
    ( spl52_11
    | ~ spl52_18
    | ~ spl52_172
    | spl52_173 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s186,plain,
    ( spl52_41
    | spl52_176 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s187,plain,
    ( spl52_4
    | ~ spl52_18
    | spl52_27
    | ~ spl52_176 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s188,plain,
    ( spl52_158
    | spl52_177 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s189,plain,
    ( spl52_41
    | spl52_178 ),
    inference(sat_conversion,[],[f1222]) ).

cnf(s190,plain,
    ( ~ spl52_18
    | spl52_23
    | ~ spl52_177
    | ~ spl52_178 ),
    inference(sat_conversion,[],[f1223]) ).

cnf(s193,plain,
    ( spl52_173
    | spl52_180 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s194,plain,
    ( ~ spl52_18
    | spl52_28
    | spl52_146
    | ~ spl52_180 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s195,plain,
    ( spl52_38
    | spl52_181 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s196,plain,
    ( spl52_14
    | ~ spl52_18
    | spl52_34
    | ~ spl52_181 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s197,plain,
    ( spl52_29
    | spl52_182 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s198,plain,
    ( spl52_24
    | spl52_183 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s199,plain,
    ( ~ spl52_18
    | spl52_38
    | ~ spl52_182
    | ~ spl52_183 ),
    inference(sat_conversion,[],[f1252]) ).

cnf(s200,plain,
    ( spl52_27
    | spl52_184 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s201,plain,
    ( spl52_16
    | ~ spl52_18
    | spl52_37
    | ~ spl52_184 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s204,plain,
    ( spl52_37
    | spl52_187 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s205,plain,
    ( ~ spl52_18
    | spl52_21
    | spl52_30
    | ~ spl52_187 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s212,plain,
    ( spl52_27
    | spl52_192 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s213,plain,
    ( ~ spl52_18
    | spl52_30
    | spl52_32
    | ~ spl52_192 ),
    inference(sat_conversion,[],[f1300]) ).

cnf(s214,plain,
    ( spl52_158
    | spl52_193 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s215,plain,
    ( spl52_6
    | ~ spl52_18
    | spl52_32
    | ~ spl52_193 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s216,plain,
    ( spl52_19
    | spl52_194 ),
    inference(sat_conversion,[],[f1311]) ).

cnf(s217,plain,
    ( spl52_142
    | spl52_195 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s218,plain,
    ( ~ spl52_18
    | spl52_32
    | ~ spl52_194
    | ~ spl52_195 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s219,plain,
    ( spl52_29
    | spl52_196 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s220,plain,
    ( spl52_12
    | ~ spl52_18
    | spl52_154
    | ~ spl52_196 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s223,plain,
    ( spl52_23
    | spl52_198 ),
    inference(sat_conversion,[],[f1334]) ).

cnf(s224,plain,
    ( spl52_6
    | ~ spl52_18
    | spl52_27
    | ~ spl52_198 ),
    inference(sat_conversion,[],[f1335]) ).

cnf(s225,plain,
    ( spl52_27
    | spl52_199 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s226,plain,
    ( ~ spl52_18
    | spl52_21
    | spl52_25
    | ~ spl52_199 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s227,plain,
    ( spl52_21
    | spl52_200 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s228,plain,
    ( ~ spl52_18
    | spl52_28
    | spl52_186
    | ~ spl52_200 ),
    inference(sat_conversion,[],[f1347]) ).

cnf(s229,plain,
    ( spl52_158
    | spl52_201 ),
    inference(sat_conversion,[],[f1352]) ).

cnf(s230,plain,
    ( spl52_7
    | ~ spl52_18
    | spl52_24
    | ~ spl52_201 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s231,plain,
    ( spl52_24
    | spl52_202 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s232,plain,
    ( spl52_3
    | ~ spl52_18
    | ~ spl52_202
    | spl52_203 ),
    inference(sat_conversion,[],[f1362]) ).

cnf(s233,plain,
    ( spl52_23
    | spl52_204 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s234,plain,
    ( ~ spl52_18
    | spl52_20
    | spl52_190
    | ~ spl52_204 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s262,plain,
    ( ~ spl52_19
    | ~ spl52_29
    | ~ spl52_65
    | ~ spl52_66 ),
    inference(sat_conversion,[],[f1472]) ).

cnf(s263,plain,
    ( ~ spl52_19
    | ~ spl52_29
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s266,plain,
    ( ~ spl52_23
    | ~ spl52_65
    | ~ spl52_66
    | ~ spl52_142 ),
    inference(sat_conversion,[],[f1498]) ).

cnf(s267,plain,
    ( ~ spl52_23
    | ~ spl52_133
    | ~ spl52_134
    | ~ spl52_142 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s302,plain,
    ( ~ spl52_35
    | spl52_88
    | spl52_89
    | ~ spl52_154 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s306,plain,
    ( ~ spl52_19
    | ~ spl52_38
    | ~ spl52_124
    | ~ spl52_125 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s312,plain,
    ( ~ spl52_42
    | ~ spl52_43
    | spl52_98
    | spl52_99 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s330,plain,
    ( ~ spl52_37
    | ~ spl52_42
    | spl52_136
    | ~ spl52_137 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s337,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_64
    | ~ spl52_65 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s338,plain,
    ( ~ spl52_23
    | ~ spl52_52
    | ~ spl52_54
    | ~ spl52_142 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s362,plain,
    ( ~ spl52_45
    | spl52_135
    | spl52_136
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s366,plain,
    ( ~ spl52_27
    | spl52_82
    | ~ spl52_83
    | ~ spl52_146 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s368,plain,
    ( ~ spl52_27
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s375,plain,
    ( ~ spl52_130
    | ~ spl52_131
    | ~ spl52_142
    | ~ spl52_190 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s394,plain,
    ( ~ spl52_45
    | spl52_127
    | spl52_128
    | ~ spl52_144 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s466,plain,
    ( ~ spl52_27
    | spl52_107
    | ~ spl52_109
    | ~ spl52_110 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s468,plain,
    ( ~ spl52_44
    | spl52_58
    | spl52_59
    | ~ spl52_166 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s470,plain,
    ( ~ spl52_37
    | ~ spl52_41
    | spl52_67
    | ~ spl52_69 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s476,plain,
    ( ~ spl52_32
    | ~ spl52_44
    | spl52_104
    | spl52_105 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s478,plain,
    ( spl52_111
    | ~ spl52_112
    | ~ spl52_144
    | ~ spl52_173 ),
    inference(sat_conversion,[],[f2287]) ).

cnf(s480,plain,
    ( ~ spl52_23
    | spl52_132
    | ~ spl52_133
    | ~ spl52_134 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s481,plain,
    ( ~ spl52_37
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s494,plain,
    ( ~ spl52_37
    | ~ spl52_41
    | spl52_59
    | ~ spl52_60
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f2381]) ).

cnf(s499,plain,
    ( ~ spl52_38
    | spl52_59
    | ~ spl52_60
    | ~ spl52_166 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s506,plain,
    ( ~ spl52_29
    | ~ spl52_32
    | spl52_64
    | ~ spl52_66 ),
    inference(sat_conversion,[],[f2455]) ).

cnf(s507,plain,
    ( ~ spl52_29
    | ~ spl52_32
    | spl52_82
    | ~ spl52_84 ),
    inference(sat_conversion,[],[f2457]) ).

cnf(s513,plain,
    ( ~ spl52_38
    | spl52_111
    | ~ spl52_113
    | ~ spl52_166 ),
    inference(sat_conversion,[],[f2469]) ).

cnf(s516,plain,
    ( ~ spl52_41
    | ~ spl52_43
    | spl52_58
    | spl52_59 ),
    inference(sat_conversion,[],[f2496]) ).

cnf(s528,plain,
    ( ~ spl52_24
    | spl52_80
    | ~ spl52_81
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s529,plain,
    ( ~ spl52_24
    | spl52_123
    | ~ spl52_125
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f2559]) ).

cnf(s530,plain,
    ( ~ spl52_32
    | spl52_101
    | spl52_102
    | ~ spl52_103 ),
    inference(sat_conversion,[],[f2582]) ).

cnf(s531,plain,
    ( ~ spl52_23
    | ~ spl52_32
    | spl52_117
    | spl52_118
    | ~ spl52_119 ),
    inference(sat_conversion,[],[f2584]) ).

cnf(s552,plain,
    ( spl52_104
    | spl52_105
    | ~ spl52_106
    | ~ spl52_146 ),
    inference(sat_conversion,[],[f2746]) ).

cnf(s554,plain,
    ( ~ spl52_27
    | ~ spl52_32
    | spl52_82
    | ~ spl52_83
    | ~ spl52_84 ),
    inference(sat_conversion,[],[f2751]) ).

cnf(s558,plain,
    ( ~ spl52_23
    | ~ spl52_45
    | spl52_74
    | spl52_75
    | ~ spl52_186 ),
    inference(sat_conversion,[],[f2759]) ).

cnf(s574,plain,
    ( ~ spl52_35
    | ~ spl52_38
    | spl52_98
    | spl52_99
    | ~ spl52_152
    | ~ spl52_154 ),
    inference(sat_conversion,[],[f2862]) ).

cnf(s581,plain,
    ( ~ spl52_23
    | ~ spl52_43
    | spl52_73
    | spl52_74
    | ~ spl52_186 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s586,plain,
    ( spl52_120
    | ~ spl52_122
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(sat_conversion,[],[f2913]) ).

cnf(s610,plain,
    ( ~ spl52_21
    | ~ spl52_41
    | spl52_61
    | ~ spl52_62
    | ~ spl52_63 ),
    inference(sat_conversion,[],[f3007]) ).

cnf(s614,plain,
    ( ~ spl52_23
    | ~ spl52_42
    | spl52_135
    | ~ spl52_137 ),
    inference(sat_conversion,[],[f3019]) ).

cnf(s631,plain,
    ( ~ spl52_41
    | ~ spl52_43
    | spl52_126
    | spl52_128 ),
    inference(sat_conversion,[],[f3093]) ).

cnf(s643,plain,
    ( ~ spl52_19
    | ~ spl52_29
    | ~ spl52_55
    | ~ spl52_57 ),
    inference(sat_conversion,[],[f3139]) ).

cnf(s648,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | ~ spl52_44
    | spl52_95
    | spl52_96 ),
    inference(sat_conversion,[],[f3156]) ).

cnf(s685,plain,
    ( spl52_98
    | ~ spl52_100
    | ~ spl52_154
    | ~ spl52_158 ),
    inference(sat_conversion,[],[f3295]) ).

cnf(s694,plain,
    ( spl52_59
    | ~ spl52_60
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(sat_conversion,[],[f3346]) ).

cnf(s695,plain,
    ( ~ spl52_27
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(sat_conversion,[],[f3348]) ).

cnf(s698,plain,
    ( spl52_111
    | ~ spl52_113
    | ~ spl52_140
    | ~ spl52_173 ),
    inference(sat_conversion,[],[f3354]) ).

cnf(s707,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_132
    | ~ spl52_133
    | ~ spl52_158 ),
    inference(sat_conversion,[],[f3408]) ).

cnf(s708,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | ~ spl52_137
    | ~ spl52_158 ),
    inference(sat_conversion,[],[f3410]) ).

cnf(s730,plain,
    ( spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f3574]) ).

cnf(s732,plain,
    ( ~ spl52_27
    | ~ spl52_34
    | spl52_135
    | spl52_136
    | ~ spl52_137
    | ~ spl52_140 ),
    inference(sat_conversion,[],[f3577]) ).

cnf(s741,plain,
    ( ~ spl52_27
    | ~ spl52_35
    | spl52_126
    | spl52_127
    | ~ spl52_146 ),
    inference(sat_conversion,[],[f3622]) ).

cnf(s746,plain,
    ( ~ spl52_27
    | spl52_129
    | ~ spl52_130
    | ~ spl52_146
    | ~ spl52_203 ),
    inference(sat_conversion,[],[f3645]) ).

cnf(s747,plain,
    ( ~ spl52_23
    | ~ spl52_55
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(sat_conversion,[],[f3647]) ).

cnf(s756,plain,
    ( ~ spl52_45
    | spl52_127
    | spl52_128
    | spl52_207 ),
    inference(sat_conversion,[],[f3670]) ).

cnf(s763,plain,
    ( ~ spl52_24
    | ~ spl52_43
    | spl52_79
    | spl52_80
    | ~ spl52_81 ),
    inference(sat_conversion,[],[f3751]) ).

cnf(s766,plain,
    ( ~ spl52_24
    | ~ spl52_44
    | spl52_79
    | spl52_80
    | ~ spl52_81
    | ~ spl52_166 ),
    inference(sat_conversion,[],[f3775]) ).

cnf(s779,plain,
    ( ~ spl52_42
    | spl52_135
    | spl52_136
    | ~ spl52_137 ),
    inference(sat_conversion,[],[f3799]) ).

cnf(s787,plain,
    ( ~ spl52_21
    | ~ spl52_53
    | ~ spl52_54
    | ~ spl52_211 ),
    inference(sat_conversion,[],[f3895]) ).

cnf(s789,plain,
    ( ~ spl52_35
    | spl52_73
    | spl52_74
    | spl52_75 ),
    inference(sat_conversion,[],[f3913]) ).

cnf(s796,plain,
    ( ~ spl52_27
    | ~ spl52_38
    | spl52_67
    | ~ spl52_68
    | ~ spl52_69 ),
    inference(sat_conversion,[],[f3955]) ).

cnf(s800,plain,
    ( ~ spl52_38
    | ~ spl52_41
    | spl52_111
    | ~ spl52_112
    | ~ spl52_113 ),
    inference(sat_conversion,[],[f3963]) ).

cnf(s801,plain,
    ( ~ spl52_38
    | spl52_120
    | ~ spl52_121
    | ~ spl52_122 ),
    inference(sat_conversion,[],[f3965]) ).

cnf(s807,plain,
    ( spl52_123
    | ~ spl52_124
    | ~ spl52_125
    | ~ spl52_158 ),
    inference(sat_conversion,[],[f4107]) ).

cnf(s810,plain,
    ( ~ spl52_23
    | ~ spl52_52
    | ~ spl52_54
    | spl52_211 ),
    inference(sat_conversion,[],[f4112]) ).

cnf(s817,plain,
    ( ~ spl52_35
    | spl52_126
    | spl52_127
    | spl52_207 ),
    inference(sat_conversion,[],[f4132]) ).

cnf(s822,plain,
    ( ~ spl52_19
    | ~ spl52_52
    | ~ spl52_53
    | ~ spl52_54 ),
    inference(sat_conversion,[],[f4167]) ).

cnf(s828,plain,
    ( ~ spl52_44
    | spl52_126
    | spl52_127
    | spl52_128 ),
    inference(sat_conversion,[],[f4179]) ).

cnf(s829,plain,
    ( ~ spl52_44
    | spl52_98
    | spl52_99
    | ~ spl52_100
    | ~ spl52_158
    | ~ spl52_166 ),
    inference(sat_conversion,[],[f4190]) ).

cnf(s833,plain,
    ( ~ spl52_41
    | spl52_126
    | spl52_128
    | ~ spl52_207 ),
    inference(sat_conversion,[],[f4212]) ).

cnf(s834,plain,
    ( ~ spl52_55
    | ~ spl52_56
    | ~ spl52_57
    | ~ spl52_142 ),
    inference(sat_conversion,[],[f4214]) ).

cnf(s837,plain,
    ( spl52_23
    | spl52_6
    | ~ spl52_3 ),
    inference(rat,[],[s466,s103,s104,s105,s224,s170,s223,s95,s169,s730,s92,s94,s93]) ).

cnf(s838,plain,
    ( spl52_7
    | spl52_6
    | spl52_5
    | spl52_4
    | ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s807,s121,s122,s123,s29,s312,s176,s214,s177,s215,s266,s531,s56,s57,s113,s114,s115,s5,s4,s95,s93,s92,s837]) ).

cnf(s839,plain,
    ( ~ spl52_10
    | ~ spl52_142
    | ~ spl52_23 ),
    inference(rat,[],[s266,s56,s57]) ).

cnf(s840,plain,
    ( ~ spl52_20
    | ~ spl52_158 ),
    inference(rat,[],[s807,s121,s122,s123]) ).

cnf(s841,plain,
    ( ~ spl52_30
    | ~ spl52_142
    | ~ spl52_23 ),
    inference(rat,[],[s747,s44,s46]) ).

cnf(s842,plain,
    ( spl52_32
    | ~ spl52_34
    | spl52_30
    | spl52_135
    | ~ spl52_137
    | spl52_6
    | ~ spl52_18 ),
    inference(rat,[],[s708,s212,s214,s213,s215]) ).

cnf(s843,plain,
    ( ~ spl52_12
    | ~ spl52_146
    | ~ spl52_27 ),
    inference(rat,[],[s366,s75,s76]) ).

cnf(s844,plain,
    ( ~ spl52_11
    | ~ spl52_142
    | ~ spl52_23 ),
    inference(rat,[],[s267,s133,s134]) ).

cnf(s845,plain,
    ( spl52_6
    | spl52_5
    | spl52_4
    | ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s530,s96,s97,s98,s17,s507,s75,s77,s6,s844,s842,s21,s841,s839,s177,s176,s779,s136,s137,s138,s25,s801,s117,s118,s119,s838,s837,s95]) ).

cnf(s846,plain,
    ( ~ spl52_142
    | ~ spl52_23
    | ~ spl52_6
    | ~ spl52_18 ),
    inference(rat,[],[s338,s40,s42,s145,s144,s394,s32,s844,s841,s828,s125,s124,s126]) ).

cnf(s847,plain,
    ( spl52_146
    | ~ spl52_159
    | spl52_44
    | ~ spl52_18 ),
    inference(rat,[],[s840,s160,s147,s162,s146]) ).

cnf(s848,plain,
    ( ~ spl52_11
    | ~ spl52_23 ),
    inference(rat,[],[s480,s132,s133,s134]) ).

cnf(s849,plain,
    ( ~ spl52_27
    | spl52_11
    | ~ spl52_146
    | ~ spl52_6
    | ~ spl52_18 ),
    inference(rat,[],[s22,s741,s843,s125,s124]) ).

cnf(s850,plain,
    ( spl52_207
    | ~ spl52_6
    | ~ spl52_3 ),
    inference(rat,[],[s141,s139,s140,s817,s756,s95,s730,s92,s94,s93,s126,s125,s124]) ).

cnf(s851,plain,
    ( ~ spl52_23
    | ~ spl52_6
    | spl52_4
    | ~ spl52_3 ),
    inference(rat,[],[s161,s312,s847,s176,s849,s177,s848,s846,s93,s92,s828,s125,s187,s186,s833,s850,s126,s124,s95]) ).

cnf(s852,plain,
    ( ~ spl52_6
    | spl52_4
    | ~ spl52_3 ),
    inference(rat,[],[s466,s103,s104,s105,s170,s851,s187,s186,s833,s850,s124,s126,s95,s169,s730,s92,s94,s93]) ).

cnf(s853,plain,
    ( ~ spl52_12
    | ~ spl52_27
    | spl52_6
    | ~ spl52_3 ),
    inference(rat,[],[s614,s136,s138,s25,s801,s117,s118,s119,s29,s312,s172,s173,s829,s147,s171,s840,s685,s214,s215,s146,s554,s843,s75,s76,s77,s95,s94,s93,s92,s837]) ).

cnf(s854,plain,
    ( ~ spl52_32
    | ~ spl52_10
    | spl52_4
    | ~ spl52_18 ),
    inference(rat,[],[s530,s96,s97,s98,s17,s506,s57,s55]) ).

cnf(s855,plain,
    ( spl52_12
    | spl52_4
    | ~ spl52_3 ),
    inference(rat,[],[s219,s220,s262,s685,s216,s214,s218,s215,s854,s217,s839,s56,s57,s6,s95,s94,s92,s848,s837,s852]) ).

cnf(s856,plain,
    ( spl52_4
    | ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s822,s40,s41,s42,s216,s201,s218,s481,s217,s106,s107,s841,s20,s213,s530,s96,s97,s98,s228,s558,s140,s141,s139,s789,s65,s66,s67,s226,s227,s610,s186,s187,s200,s212,s225,s853,s855,s51,s52,s53,s848,s845,s837,s852,s95,s730,s92,s94,s93]) ).

cnf(s857,plain,
    ( ~ spl52_14
    | ~ spl52_154
    | ~ spl52_35 ),
    inference(rat,[],[s302,s82,s83]) ).

cnf(s858,plain,
    ( ~ spl52_32
    | spl52_34
    | spl52_12
    | ~ spl52_23
    | ~ spl52_3 ),
    inference(rat,[],[s531,s113,s114,s115,s154,s574,s195,s196,s857,s220,s153,s219,s506,s93,s92,s22,s95,s57,s55,s6,s848]) ).

cnf(s859,plain,
    ( ~ spl52_27
    | spl52_6
    | ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s219,s220,s643,s685,s216,s214,s218,s215,s858,s44,s46,s21,s217,s337,s839,s55,s56,s6,s853,s95,s94,s92,s848,s837]) ).

cnf(s861,plain,
    ( ~ spl52_28
    | ~ spl52_32 ),
    inference(rat,[],[s530,s96,s97,s98]) ).

cnf(s862,plain,
    ( ~ spl52_32
    | ~ spl52_199
    | ~ spl52_23
    | spl52_111
    | ~ spl52_112
    | spl52_146
    | spl52_104
    | spl52_105
    | ~ spl52_18 ),
    inference(rat,[],[s581,s65,s66,s228,s226,s227,s787,s810,s40,s41,s42,s145,s144,s478,s193,s194,s861,s161,s847,s476]) ).

cnf(s863,plain,
    ( spl52_6
    | ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s179,s841,s178,s213,s829,s147,s840,s214,s215,s862,s212,s225,s859,s837,s146,s107,s106,s164,s552,s99,s101,s100,s856,s95,s163,s730,s92,s94,s93]) ).

cnf(s864,plain,
    ( ~ spl52_12
    | ~ spl52_27
    | ~ spl52_32 ),
    inference(rat,[],[s554,s75,s76,s77]) ).

cnf(s865,plain,
    ( ~ spl52_3
    | spl52_1 ),
    inference(rat,[],[s337,s55,s56,s858,s6,s864,s225,s862,s218,s216,s822,s40,s41,s42,s145,s144,s478,s183,s217,s848,s846,s190,s188,s840,s182,s189,s147,s833,s828,s850,s124,s125,s126,s863,s106,s107,s164,s146,s552,s99,s100,s101,s856,s163,s730,s92,s93,s94,s95]) ).

cnf(s866,plain,
    ( ~ spl52_32
    | ~ spl52_27
    | spl52_11
    | ~ spl52_18 ),
    inference(rat,[],[s796,s59,s60,s61,s10,s306,s195,s196,s122,s123,s857,s147,s146,s220,s476,s368,s219,s99,s100,s101,s506,s337,s854,s55,s56,s57,s6,s22,s864]) ).

cnf(s867,plain,
    ( ~ spl52_36
    | ~ spl52_34
    | ~ spl52_158
    | ~ spl52_27 ),
    inference(rat,[],[s708,s136,s138]) ).

cnf(s868,plain,
    ( ~ spl52_44
    | ~ spl52_158
    | ~ spl52_27
    | ~ spl52_23
    | spl52_1 ),
    inference(rat,[],[s648,s89,s90,s27,s800,s25,s867,s21,s841,s179,s178,s468,s48,s47,s108,s107,s106,s20,s866,s50,s1,s865,s848,s840]) ).

cnf(s869,plain,
    ( ~ spl52_27
    | spl52_6
    | ~ spl52_23
    | spl52_1 ),
    inference(rat,[],[s857,s220,s196,s219,s195,s643,s513,s216,s44,s46,s178,s218,s21,s179,s217,s337,s839,s55,s56,s6,s22,s843,s146,s147,s868,s840,s106,s108,s214,s20,s215,s866,s50,s1,s865,s848]) ).

cnf(s871,plain,
    ( ~ spl52_4
    | ~ spl52_32
    | ~ spl52_199
    | ~ spl52_23
    | ~ spl52_2 ),
    inference(rat,[],[s862,s106,s107,s164,s163,s694,s193,s194,s552,s99,s100,s101,s50,s49,s48,s861]) ).

cnf(s872,plain,
    ( ~ spl52_32
    | ~ spl52_199
    | ~ spl52_23
    | ~ spl52_2 ),
    inference(rat,[],[s507,s75,s77,s6,s17,s854,s871,s861,s50,s848]) ).

cnf(s873,plain,
    ( spl52_6
    | ~ spl52_23
    | spl52_1 ),
    inference(rat,[],[s552,s99,s100,s101,s177,s176,s779,s146,s136,s137,s138,s147,s25,s468,s513,s178,s179,s840,s841,s106,s108,s214,s213,s20,s215,s872,s212,s225,s869,s50,s48,s47,s1,s865,s848]) ).

cnf(s874,plain,
    ( ~ spl52_27
    | ~ spl52_195
    | ~ spl52_6
    | spl52_11
    | ~ spl52_2 ),
    inference(rat,[],[s822,s40,s41,s42,s145,s144,s478,s183,s182,s516,s216,s106,s107,s161,s218,s20,s847,s866,s849,s50,s48,s47,s828,s124,s125,s126]) ).

cnf(s875,plain,
    ( ~ spl52_16
    | ~ spl52_19 ),
    inference(rat,[],[s822,s40,s41,s42]) ).

cnf(s876,plain,
    ( ~ spl52_23
    | spl52_1 ),
    inference(rat,[],[s183,s182,s478,s481,s144,s201,s145,s875,s216,s106,s107,s218,s20,s872,s200,s225,s874,s217,s828,s846,s124,s125,s126,s873,s848,s50,s1,s865]) ).

cnf(s877,plain,
    ( ~ spl52_108
    | ~ spl52_27 ),
    inference(rat,[],[s466,s103,s104,s105]) ).

cnf(s878,plain,
    ( ~ spl52_20
    | ~ spl52_24
    | ~ spl52_140 ),
    inference(rat,[],[s529,s121,s123]) ).

cnf(s879,plain,
    ( ~ spl52_32
    | ~ spl52_27
    | spl52_1 ),
    inference(rat,[],[s175,s174,s779,s732,s136,s137,s138,s25,s499,s178,s179,s375,s234,s878,s231,s232,s746,s194,s128,s129,s130,s7,s864,s861,s233,s193,s694,s169,s170,s877,s50,s876,s49,s48,s1,s865]) ).

cnf(s880,plain,
    ( ~ spl52_36
    | ~ spl52_158
    | ~ spl52_27
    | ~ spl52_18 ),
    inference(rat,[],[s175,s174,s779,s867,s136,s137,s138,s840]) ).

cnf(s881,plain,
    ( spl52_11
    | ~ spl52_38
    | spl52_32
    | spl52_173
    | ~ spl52_18 ),
    inference(rat,[],[s800,s106,s107,s108,s182,s20,s183]) ).

cnf(s882,plain,
    ( ~ spl52_158
    | ~ spl52_27
    | spl52_1 ),
    inference(rat,[],[s179,s834,s44,s45,s46,s21,s707,s132,s133,s881,s178,s499,s25,s880,s840,s694,s169,s170,s877,s50,s876,s49,s48,s1,s865,s879]) ).

cnf(s883,plain,
    ( ~ spl52_27
    | spl52_1 ),
    inference(rat,[],[s175,s174,s779,s732,s136,s137,s138,s143,s375,s234,s878,s231,s232,s746,s128,s129,s130,s7,s843,s162,s142,s161,s756,s516,s833,s189,s124,s125,s126,s190,s215,s160,s188,s214,s882,s879,s169,s170,s877,s50,s48,s47,s1,s865,s233,s876]) ).

cnf(s884,plain,
    ( ~ spl52_30
    | ~ spl52_142 ),
    inference(rat,[],[s834,s44,s45,s46]) ).

cnf(s885,plain,
    ( spl52_41
    | spl52_1 ),
    inference(rat,[],[s146,s147,s552,s840,s99,s100,s101,s188,s187,s190,s186,s189,s828,s124,s125,s126,s224,s883,s50,s1,s865,s223,s876]) ).

cnf(s886,plain,
    ( ~ spl52_12
    | ~ spl52_29
    | ~ spl52_32 ),
    inference(rat,[],[s507,s75,s77]) ).

cnf(s888,plain,
    ( ~ spl52_4
    | ~ spl52_146 ),
    inference(rat,[],[s552,s99,s100,s101]) ).

cnf(s889,plain,
    ( spl52_3
    | spl52_1 ),
    inference(rat,[],[s779,s176,s136,s137,s138,s177,s143,s884,s205,s610,s51,s52,s53,s2,s888,s204,s494,s141,s139,s140,s142,s847,s817,s756,s161,s833,s516,s885,s828,s124,s125,s126,s224,s883,s223,s876,s47,s48,s49,s50,s1]) ).

cnf(s890,plain,
    spl52_1,
    inference(rat,[],[s889,s865]) ).

cnf(s891,plain,
    spl52_18,
    inference(rat,[],[s74,s890]) ).

cnf(s892,plain,
    spl52_81,
    inference(rat,[],[s73,s890]) ).

cnf(s893,plain,
    ~ spl52_80,
    inference(rat,[],[s72,s890]) ).

cnf(s894,plain,
    ~ spl52_79,
    inference(rat,[],[s71,s890]) ).

cnf(s898,plain,
    ( spl52_4
    | spl52_3
    | spl52_30
    | ~ spl52_32
    | spl52_27 ),
    inference(rat,[],[s470,s59,s61,s10,s204,s263,s205,s133,s134,s610,s6,s51,s52,s53,s886,s186,s2,s17,s854,s187,s861,s891]) ).

cnf(s899,plain,
    ( spl52_146
    | spl52_44
    | spl52_126
    | spl52_128
    | spl52_23 ),
    inference(rat,[],[s190,s189,s188,s631,s840,s161,s147,s847,s146,s891]) ).

cnf(s900,plain,
    ( spl52_23
    | ~ spl52_32
    | spl52_27 ),
    inference(rat,[],[s779,s136,s137,s138,s143,s142,s176,s756,s177,s833,s884,s186,s898,s187,s852,s888,s899,s828,s124,s125,s126,s224,s223,s891]) ).

cnf(s901,plain,
    ( spl52_4
    | spl52_11
    | ~ spl52_32 ),
    inference(rat,[],[s886,s6,s17,s854,s861,s891]) ).

cnf(s902,plain,
    ( ~ spl52_32
    | spl52_27 ),
    inference(rat,[],[s862,s106,s107,s164,s163,s586,s117,s119,s230,s229,s763,s840,s193,s161,s147,s194,s847,s146,s476,s888,s99,s100,s901,s848,s900,s861,s225,s891,s894,s893,s892]) ).

cnf(s903,plain,
    ( spl52_23
    | spl52_27 ),
    inference(rat,[],[s330,s137,s138,s143,s142,s176,s394,s177,s144,s888,s145,s899,s828,s124,s125,s126,s224,s223,s201,s875,s216,s218,s217,s884,s213,s212,s902,s200,s891]) ).

cnf(s904,plain,
    ( ~ spl52_6
    | ~ spl52_44 ),
    inference(rat,[],[s828,s124,s125,s126]) ).

cnf(s905,plain,
    spl52_27,
    inference(rat,[],[s198,s199,s766,s513,s178,s179,s840,s214,s215,s904,s145,s144,s478,s183,s182,s481,s106,s107,s108,s20,s848,s903,s197,s201,s643,s875,s216,s218,s217,s884,s44,s46,s213,s902,s200,s212,s891,s894,s893,s892]) ).

cnf(s906,plain,
    ~ spl52_108,
    inference(rat,[],[s877,s905]) ).

cnf(s907,plain,
    ( ~ spl52_6
    | spl52_23 ),
    inference(rat,[],[s746,s128,s129,s7,s232,s843,s850,s899,s833,s904,s124,s126,s231,s189,s190,s188,s880,s25,s796,s59,s60,s61,s13,s528,s169,s170,s905,s891,s893,s892,s906]) ).

cnf(s908,plain,
    spl52_23,
    inference(rat,[],[s746,s194,s128,s129,s861,s232,s31,s215,s837,s907,s214,s362,s880,s136,s137,s25,s193,s796,s695,s59,s60,s61,s13,s231,s528,s169,s170,s905,s891,s892,s893,s906]) ).

cnf(s909,plain,
    ~ spl52_11,
    inference(rat,[],[s848,s908]) ).

cnf(s910,plain,
    ~ spl52_32,
    inference(rat,[],[s866,s891,s905,s909]) ).

cnf(s911,plain,
    spl52_33,
    inference(rat,[],[s20,s910,s891,s909]) ).

cnf(s912,plain,
    spl52_113,
    inference(rat,[],[s108,s911]) ).

cnf(s914,plain,
    ~ spl52_111,
    inference(rat,[],[s106,s911]) ).

cnf(s915,plain,
    ~ spl52_6,
    inference(rat,[],[s695,s183,s167,s59,s60,s61,s182,s168,s13,s631,s763,s161,s847,s849,s904,s124,s126,s905,s891,s909,s906,s894,s893,s892]) ).

cnf(s916,plain,
    ~ spl52_193,
    inference(rat,[],[s215,s910,s891,s915]) ).

cnf(s917,plain,
    spl52_158,
    inference(rat,[],[s214,s916]) ).

cnf(s918,plain,
    ~ spl52_20,
    inference(rat,[],[s840,s917]) ).

cnf(s919,plain,
    ~ spl52_36,
    inference(rat,[],[s880,s891,s905,s917]) ).

cnf(s921,plain,
    spl52_38,
    inference(rat,[],[s25,s891,s919]) ).

cnf(s924,plain,
    spl52_173,
    inference(rat,[],[s881,s891,s909,s910,s921]) ).

cnf(s928,plain,
    ~ spl52_140,
    inference(rat,[],[s698,s914,s912,s924]) ).

cnf(s939,plain,
    spl52_162,
    inference(rat,[],[s167,s928]) ).

cnf(s943,plain,
    spl52_24,
    inference(rat,[],[s168,s906,s891,s939]) ).

cnf(s946,plain,
    ~ spl52_43,
    inference(rat,[],[s763,s892,s893,s894,s943]) ).

cnf(s951,plain,
    spl52_7,
    inference(rat,[],[s29,s918,s891,s946]) ).

cnf(s958,plain,
    spl52_122,
    inference(rat,[],[s119,s951]) ).

cnf(s959,plain,
    spl52_121,
    inference(rat,[],[s118,s951]) ).

cnf(s960,plain,
    ~ spl52_120,
    inference(rat,[],[s117,s951]) ).

cnf(s966,plain,
    $false,
    inference(rat,[],[s801,s958,s921,s959,s960]) ).

fof(f4219,plain,
    $false,
    inference(avatar_sat_refutation,[],[s966]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN485+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n005.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:15:16 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/1.01  % (908180)Detected formulas, will run a generic FOF schedule.
% 0.65/1.01  % (908188)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4074186433:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/1.01  % (908188)First to succeed.
% 0.65/1.01  % (908189)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1876957040:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/1.01  % (908186)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3540920583:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/1.01  % (908187)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1663100378:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/1.01  % (908190)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2285852272:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/1.01  % (908185)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1236085164:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/1.01  % (908191)dis-21_1_sil=8000:lcm=predicate:random_seed=463508999:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.65/1.01  % (908188)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-908180"
% 0.65/1.01  % (908191)Also succeeded, but the first one will report.
% 0.65/1.01  % (908190)Also succeeded, but the first one will report.
% 0.65/1.01  % (908189)Instruction limit reached! 
% 0.65/1.01  % (908189)------------------------------
% 0.65/1.01  % (908189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.65/1.01  % (908189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/1.01  % (908189)CaDiCaL version: 2.1.3
% 0.65/1.01  % (908189)Termination reason: Instruction limit
% 0.65/1.01  % (908189)Termination phase: Saturation
% 0.65/1.01  % (908189)Time elapsed: 0.059 s
% 0.65/1.01  % (908189)Peak memory usage: 88 MB
% 0.65/1.01  % (908189)Instructions burned: 120 (million)
% 0.65/1.01  % (908188)Refutation found. Thanks to Tanya!
% 0.65/1.01  % SZS status Theorem for theBenchmark
% 0.65/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 3.10/1.21  % (908188)------------------------------
% 3.10/1.21  % (908188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.21  % (908188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.21  % (908188)CaDiCaL version: 2.1.3
% 3.10/1.21  % (908188)Termination reason: Refutation
% 3.10/1.21  % (908188)Time elapsed: 0.042 s
% 3.10/1.21  % (908188)Peak memory usage: 91 MB
% 3.10/1.21  % (908188)Instructions burned: 122 (million)
% 3.10/1.21  % (908188)------------------------------
% 3.10/1.21  % (908188)------------------------------
% 3.10/1.21  % (908180)Success in time 0.346 s
% 3.10/1.21  % Vampire exiting
%------------------------------------------------------------------------------