↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN499+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:58:13 PM UTC 2026

% Result   : Theorem 3.04s 1.10s
% Output   : Refutation 3.67s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a123)
          & ~ c0_1(a123)
          & ~ c1_1(a123) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a124)
          & c2_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a125)
          & c2_1(a125)
          & ~ c0_1(a125) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a127)
          & ~ c2_1(a127)
          & ~ c3_1(a127) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a128)
          & c1_1(a128)
          & ~ c3_1(a128) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a130)
          & ~ c1_1(a130)
          & ~ c3_1(a130) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a131)
          & ~ c1_1(a131)
          & ~ c2_1(a131) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a132)
          & ~ c0_1(a132)
          & ~ c2_1(a132) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a134)
          & ~ c0_1(a134)
          & ~ c3_1(a134) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a138)
          & c1_1(a138)
          & ~ c2_1(a138) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a140)
          & ~ c2_1(a140)
          & ~ c3_1(a140) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c1_1(a141)
          & ~ c2_1(a141)
          & ~ c3_1(a141) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a142)
          & c3_1(a142)
          & ~ c1_1(a142) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a143)
          & c3_1(a143)
          & ~ c1_1(a143) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a147)
          & ~ c1_1(a147)
          & ~ c3_1(a147) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a153)
          & c3_1(a153)
          & ~ c0_1(a153) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a154)
          & c3_1(a154)
          & ~ c0_1(a154) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a155)
          & ~ c0_1(a155)
          & ~ c2_1(a155) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a160)
          & ~ c1_1(a160)
          & ~ c2_1(a160) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a164)
          & c3_1(a164)
          & ~ c2_1(a164) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a168)
          & ~ c0_1(a168)
          & ~ c3_1(a168) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a170)
          & c2_1(a170)
          & ~ c1_1(a170) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a176)
          & ~ c1_1(a176)
          & ~ c2_1(a176) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a179)
          & ~ c1_1(a179)
          & ~ c3_1(a179) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a182)
          & ~ c2_1(a182)
          & ~ c3_1(a182) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a189)
          & ~ c0_1(a189)
          & ~ c1_1(a189) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a225)
          & c2_1(a225)
          & ~ c3_1(a225) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a122)
          & c2_1(a122)
          & c3_1(a122) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a133)
          & c2_1(a133)
          & c3_1(a133) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a136)
          & c1_1(a136)
          & c2_1(a136) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a167)
          & c1_1(a167)
          & c3_1(a167) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c1_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)
              | ~ c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c3_1(X10)
              | ~ c2_1(X10) ) )
        | hskp27 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | hskp0 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | ~ c0_1(X14)
              | ~ c1_1(X14) ) )
        | hskp1 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c2_1(X15) ) )
        | hskp2
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c1_1(X17) ) )
        | hskp3 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c0_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c0_1(X24)
              | ~ c2_1(X24) ) )
        | hskp27 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | ~ c1_1(X26)
              | ~ c2_1(X26) ) )
        | hskp5 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c0_1(X34)
              | ~ c3_1(X34) ) )
        | hskp6 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c1_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | hskp7 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp28
        | hskp8 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | c3_1(X40) ) )
        | hskp29
        | hskp7 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | hskp9
        | hskp7 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | c3_1(X42) ) )
        | hskp10
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp12 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp13 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp28 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c1_1(X52) ) )
        | hskp28
        | hskp3 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | hskp14 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp29 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp12 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp14
        | hskp7 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp10
        | hskp15 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp16 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | c3_1(X69)
              | ~ c2_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c1_1(X75)
              | ~ c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c1_1(X77)
              | ~ c2_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) )
        | hskp17
        | hskp0 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp29
        | hskp7 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp0
        | hskp18 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp12 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | c3_1(X86) ) )
        | hskp2
        | hskp16 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c0_1(X87) ) )
        | hskp19
        | hskp17 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c1_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c2_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp6 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c3_1(X93)
              | ~ c2_1(X93) ) )
        | hskp30
        | hskp20 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | hskp7 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp21
        | hskp6 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp3
        | hskp15 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp0
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c1_1(X100)
              | ~ c2_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp22
        | hskp7 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp8
        | hskp23 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp9 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c1_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) ) )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | hskp15
        | hskp24 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) )
        | hskp9
        | hskp22 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | hskp10
        | hskp18 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c3_1(X112) ) )
        | hskp1
        | hskp3 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c3_1(X113) ) )
        | hskp25
        | hskp6 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c1_1(X114)
              | ~ c3_1(X114) ) )
        | hskp17
        | hskp13 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp17
        | hskp24 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp15
        | hskp13 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c1_1(X117) ) )
        | hskp12
        | hskp11 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c1_1(X118) ) )
        | hskp7
        | hskp24 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c1_1(X119)
              | ~ c2_1(X119) ) )
        | hskp27
        | hskp19 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp22 )
      & ( ! [X121] :
            ( ndr1_0
           => ( c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | hskp14
        | hskp23 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c1_1(X122)
              | ~ c2_1(X122) ) )
        | hskp14
        | hskp25 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c3_1(X123) ) )
        | hskp22
        | hskp10 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c1_1(X124)
              | ~ c3_1(X124) ) )
        | hskp2
        | hskp19 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp9
        | hskp8 )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp3
        | hskp13 )
      & ( hskp30
        | hskp9
        | hskp6 )
      & ( hskp27
        | hskp3
        | hskp15 )
      & ( hskp21
        | hskp20
        | hskp6 )
      & ( hskp26
        | hskp20
        | hskp15 )
      & ( hskp12
        | hskp19
        | hskp13 )
      & ( hskp2
        | hskp19
        | hskp8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a123)
            & ~ c0_1(a123)
            & ~ c1_1(a123) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a124)
            & c2_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a125)
            & c2_1(a125)
            & ~ c0_1(a125) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a127)
            & ~ c2_1(a127)
            & ~ c3_1(a127) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a128)
            & c1_1(a128)
            & ~ c3_1(a128) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a130)
            & ~ c1_1(a130)
            & ~ c3_1(a130) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a131)
            & ~ c1_1(a131)
            & ~ c2_1(a131) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a132)
            & ~ c0_1(a132)
            & ~ c2_1(a132) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a134)
            & ~ c0_1(a134)
            & ~ c3_1(a134) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a138)
            & c1_1(a138)
            & ~ c2_1(a138) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a140)
            & ~ c2_1(a140)
            & ~ c3_1(a140) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c1_1(a141)
            & ~ c2_1(a141)
            & ~ c3_1(a141) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a142)
            & c3_1(a142)
            & ~ c1_1(a142) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a143)
            & c3_1(a143)
            & ~ c1_1(a143) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a147)
            & ~ c1_1(a147)
            & ~ c3_1(a147) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a153)
            & c3_1(a153)
            & ~ c0_1(a153) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a154)
            & c3_1(a154)
            & ~ c0_1(a154) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a155)
            & ~ c0_1(a155)
            & ~ c2_1(a155) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a160)
            & ~ c1_1(a160)
            & ~ c2_1(a160) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a164)
            & c3_1(a164)
            & ~ c2_1(a164) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a168)
            & ~ c0_1(a168)
            & ~ c3_1(a168) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a170)
            & c2_1(a170)
            & ~ c1_1(a170) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a176)
            & ~ c1_1(a176)
            & ~ c2_1(a176) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a179)
            & ~ c1_1(a179)
            & ~ c3_1(a179) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a182)
            & ~ c2_1(a182)
            & ~ c3_1(a182) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a189)
            & ~ c0_1(a189)
            & ~ c1_1(a189) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a225)
            & c2_1(a225)
            & ~ c3_1(a225) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a122)
            & c2_1(a122)
            & c3_1(a122) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a133)
            & c2_1(a133)
            & c3_1(a133) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a136)
            & c1_1(a136)
            & c2_1(a136) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a167)
            & c1_1(a167)
            & c3_1(a167) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_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)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c3_1(X10)
                | ~ c2_1(X10) ) )
          | hskp27 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp0 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c0_1(X14)
                | ~ c1_1(X14) ) )
          | hskp1 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c2_1(X15) ) )
          | hskp2
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c1_1(X17) ) )
          | hskp3 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c0_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | ~ c2_1(X24) ) )
          | hskp27 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | ~ c1_1(X26)
                | ~ c2_1(X26) ) )
          | hskp5 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) )
          | hskp6 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c1_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp28
          | hskp8 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | c3_1(X40) ) )
          | hskp29
          | hskp7 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | hskp9
          | hskp7 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | hskp10
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp12 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp13 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp28 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c1_1(X52) ) )
          | hskp28
          | hskp3 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | hskp14 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp29 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp12 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp14
          | hskp7 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp10
          | hskp15 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp16 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c1_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) )
          | hskp17
          | hskp0 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp29
          | hskp7 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp0
          | hskp18 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp12 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | c3_1(X86) ) )
          | hskp2
          | hskp16 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c0_1(X87) ) )
          | hskp19
          | hskp17 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp6 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c3_1(X93)
                | ~ c2_1(X93) ) )
          | hskp30
          | hskp20 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp7 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp21
          | hskp6 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp3
          | hskp15 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp0
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c1_1(X100)
                | ~ c2_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp22
          | hskp7 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp8
          | hskp23 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp9 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | hskp15
          | hskp24 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) )
          | hskp9
          | hskp22 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp10
          | hskp18 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c3_1(X112) ) )
          | hskp1
          | hskp3 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c3_1(X113) ) )
          | hskp25
          | hskp6 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) )
          | hskp17
          | hskp13 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp17
          | hskp24 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp15
          | hskp13 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c1_1(X117) ) )
          | hskp12
          | hskp11 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c1_1(X118) ) )
          | hskp7
          | hskp24 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp27
          | hskp19 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp22 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp14
          | hskp23 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp14
          | hskp25 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c3_1(X123) ) )
          | hskp22
          | hskp10 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c1_1(X124)
                | ~ c3_1(X124) ) )
          | hskp2
          | hskp19 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp9
          | hskp8 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp3
          | hskp13 )
        & ( hskp30
          | hskp9
          | hskp6 )
        & ( hskp27
          | hskp3
          | hskp15 )
        & ( hskp21
          | hskp20
          | hskp6 )
        & ( hskp26
          | hskp20
          | hskp15 )
        & ( hskp12
          | hskp19
          | hskp13 )
        & ( hskp2
          | hskp19
          | hskp8 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c1_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)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c3_1(X10)
            | ~ c2_1(X10) ) )
      | hskp27 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | hskp0 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | ~ c0_1(X14)
            | ~ c1_1(X14) ) )
      | hskp1 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c2_1(X15) ) )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | ~ c1_1(X17) ) )
      | hskp3 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | hskp4 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c0_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | ~ c0_1(X24)
            | ~ c2_1(X24) ) )
      | hskp27 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | ~ c1_1(X26)
            | ~ c2_1(X26) ) )
      | hskp5 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c2_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) )
      | hskp6 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c1_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) )
      | hskp7 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c1_1(X37)
            | ~ c3_1(X37) ) )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | c3_1(X40) ) )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | c3_1(X41) ) )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | c3_1(X42) ) )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp12 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c0_1(X49) ) )
      | hskp13 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | ~ c1_1(X51) ) )
      | hskp28 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c1_1(X52) ) )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | hskp14 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | hskp29 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp12 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | c3_1(X67)
            | ~ c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp16 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | ~ c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c3_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c0_1(X75)
            | ~ c1_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c1_1(X77)
            | ~ c2_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c1_1(X78)
            | ~ c3_1(X78) ) )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | hskp12 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c2_1(X86)
            | c3_1(X86) ) )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | ~ c0_1(X87) ) )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c2_1(X91)
            | ~ c3_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp6 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c3_1(X93)
            | ~ c2_1(X93) ) )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp7 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c1_1(X100)
            | ~ c2_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c3_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp9 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c1_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c1_1(X109) ) )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c0_1(X110)
            | ~ c1_1(X110) ) )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | ~ c0_1(X112)
            | ~ c3_1(X112) ) )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c3_1(X113) ) )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | ~ c1_1(X114)
            | ~ c3_1(X114) ) )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c1_1(X116)
            | ~ c3_1(X116) ) )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c1_1(X117) ) )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c0_1(X118)
            | ~ c1_1(X118) ) )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c1_1(X119)
            | ~ c2_1(X119) ) )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp22 )
    & ( ! [X121] :
          ( ndr1_0
         => ( c3_1(X121)
            | ~ c1_1(X121)
            | ~ c2_1(X121) ) )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c1_1(X122)
            | ~ c2_1(X122) ) )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c3_1(X123) ) )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c1_1(X124)
            | ~ c3_1(X124) ) )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c1_1(X126)
            | ~ c2_1(X126)
            | ~ c3_1(X126) ) )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_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)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X121] :
          ( c3_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a123)
        & ~ c0_1(a123)
        & ~ c1_1(a123) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a124)
        & c2_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a125)
        & c2_1(a125)
        & ~ c0_1(a125) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a127)
        & ~ c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a130)
        & ~ c1_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a131)
        & ~ c1_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c2_1(a132) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a138)
        & c1_1(a138)
        & ~ c2_1(a138) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a140)
        & ~ c2_1(a140)
        & ~ c3_1(a140) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c1_1(a141)
        & ~ c2_1(a141)
        & ~ c3_1(a141) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a142)
        & c3_1(a142)
        & ~ c1_1(a142) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a143)
        & c3_1(a143)
        & ~ c1_1(a143) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a147)
        & ~ c1_1(a147)
        & ~ c3_1(a147) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a153)
        & c3_1(a153)
        & ~ c0_1(a153) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a154)
        & c3_1(a154)
        & ~ c0_1(a154) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a155)
        & ~ c0_1(a155)
        & ~ c2_1(a155) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a160)
        & ~ c1_1(a160)
        & ~ c2_1(a160) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a164)
        & c3_1(a164)
        & ~ c2_1(a164) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c3_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a170)
        & c2_1(a170)
        & ~ c1_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a176)
        & ~ c1_1(a176)
        & ~ c2_1(a176) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a179)
        & ~ c1_1(a179)
        & ~ c3_1(a179) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a182)
        & ~ c2_1(a182)
        & ~ c3_1(a182) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a189)
        & ~ c0_1(a189)
        & ~ c1_1(a189) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a225)
        & c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a122)
        & c2_1(a122)
        & c3_1(a122) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a133)
        & c2_1(a133)
        & c3_1(a133) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a136)
        & c1_1(a136)
        & c2_1(a136) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a167)
        & c1_1(a167)
        & c3_1(a167) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | ~ c1_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)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c3_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c3_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c3_1(X24)
          | ~ c0_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c1_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp17
      | hskp0 )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp29
      | hskp7 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | hskp2
      | hskp16 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp21
      | hskp6 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp0
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp10
      | hskp18 )
    & ( ! [X112] :
          ( c2_1(X112)
          | ~ c0_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X114] :
          ( c2_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp17
      | hskp13 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ ndr1_0 )
      | hskp7
      | hskp24 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X121] :
          ( c3_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp14
      | hskp25 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp22
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c1_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp2
      | hskp19 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp9
      | hskp8 )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( hskp30
      | hskp9
      | hskp6 )
    & ( hskp27
      | hskp3
      | hskp15 )
    & ( hskp21
      | hskp20
      | hskp6 )
    & ( hskp26
      | hskp20
      | hskp15 )
    & ( hskp12
      | hskp19
      | hskp13 )
    & ( hskp2
      | hskp19
      | hskp8 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp2
    | hskp19
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp12
    | hskp19
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X126] :
      ( ~ c1_1(X126)
      | ~ c2_1(X126)
      | ~ c3_1(X126)
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X125] :
      ( ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0
      | hskp9
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X123] :
      ( ~ c0_1(X123)
      | ~ c1_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp22
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X118] :
      ( c3_1(X118)
      | ~ c0_1(X118)
      | ~ c1_1(X118)
      | ~ ndr1_0
      | hskp7
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X117] :
      ( c3_1(X117)
      | ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X116] :
      ( c2_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X115] :
      ( c2_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp17
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X114] :
      ( c2_1(X114)
      | ~ c1_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp17
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X111] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | hskp10
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X109] :
      ( c2_1(X109)
      | c3_1(X109)
      | ~ c1_1(X109)
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X102] :
      ( c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp22
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X101,X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ c2_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X98] :
      ( c1_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | hskp0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X91,X92] :
      ( c1_1(X91)
      | c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | ~ c0_1(X87)
      | ~ ndr1_0
      | hskp19
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X83] :
      ( c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X76,X77,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c1_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X72,X73,X74] :
      ( c0_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X63] :
      ( c0_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp10
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c2_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X41] :
      ( c0_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | hskp9
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X40] :
      ( c0_1(X40)
      | c2_1(X40)
      | c3_1(X40)
      | ~ ndr1_0
      | hskp29
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c2_1(X19)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | c2_1(X5)
      | ~ c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c2_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c1_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a136) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c3_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c2_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | ~ c0_1(a182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c3_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | ~ c1_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c2_1(a179) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c2_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c0_1(a176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c2_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c1_1(a164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c2_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp18
    | ~ c1_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp18
    | c3_1(a160) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c0_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c1_1(a155) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c0_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | c3_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c2_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c1_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c3_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c2_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c1_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | c3_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c0_1(a142) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c3_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | ~ c2_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | ~ c1_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c3_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c2_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c0_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c2_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | c1_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | ~ c0_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c2_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | ~ c0_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c3_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c2_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | ~ c1_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | ~ c0_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c3_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | ~ c1_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | ~ c0_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c3_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | c1_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c0_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | ~ c2_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c1_1(a127) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c0_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | c2_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | c1_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c1_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | ~ c0_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c2_1(a123) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ! [X101,X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c1_1(X100)
      | ~ c2_1(X100)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f213,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f214,plain,
    ! [X91,X92] :
      ( c1_1(X91)
      | c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f215,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f216,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f217,plain,
    ! [X80,X81,X79] :
      ( c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f218,plain,
    ! [X76,X77,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | ~ c2_1(X76)
      | c3_1(X77)
      | ~ c1_1(X77)
      | ~ c2_1(X77) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f219,plain,
    ! [X72,X73,X74] :
      ( c0_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | c3_1(X73)
      | ~ c1_1(X73)
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f224,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f225,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f228,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f229,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f230,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | c2_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f231,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f233,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f234,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f235,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f236,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c1_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f239,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c2_1(X19)
      | ~ c1_1(X19)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f245,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | ~ c1_1(X4)
      | c0_1(X5)
      | c2_1(X5)
      | ~ c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f248,definition,
    ( spl0_1
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_2
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_3
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f256,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f254,f251,f248]) ).

fof(f258,definition,
    ( spl0_4
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_5
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_4
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f261,f251,f258]) ).

fof(f265,definition,
    ( spl0_6
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f275,definition,
    ( spl0_9
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_11
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_13
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_16
  <=> ! [X126] :
        ( ~ c1_1(X126)
        | ~ c3_1(X126)
        | ~ c2_1(X126) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f300,plain,
    ( ! [X126] :
        ( ~ c3_1(X126)
        | ~ c1_1(X126)
        | ~ c2_1(X126) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f12,f299,f296,f282,f258]) ).

fof(f302,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f299,f296,f289,f248]) ).

fof(f304,definition,
    ( spl0_17
  <=> ! [X124] :
        ( ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ c1_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X124] :
        ( ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ c1_1(X124) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f308,definition,
    ( spl0_18
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f313,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_15
    | spl0_17 ),
    inference(avatar_split_clause,[],[f15,f304,f296,f311,f308]) ).

fof(f321,definition,
    ( spl0_22
  <=> ! [X122] :
        ( ~ c0_1(X122)
        | ~ c2_1(X122)
        | ~ c1_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X122] :
        ( ~ c0_1(X122)
        | ~ c2_1(X122)
        | ~ c1_1(X122) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f325,definition,
    ( spl0_23
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_24
  <=> ! [X121] :
        ( c3_1(X121)
        | ~ c2_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X121] :
        ( c3_1(X121)
        | ~ c2_1(X121)
        | ~ c1_1(X121) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f331,plain,
    ( spl0_19
    | ~ spl0_15
    | spl0_24 ),
    inference(avatar_split_clause,[],[f18,f328,f296,f311]) ).

fof(f334,definition,
    ( spl0_25
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f340,definition,
    ( spl0_27
  <=> ! [X118] :
        ( c3_1(X118)
        | ~ c1_1(X118)
        | ~ c0_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f341,plain,
    ( ! [X118] :
        ( ~ c0_1(X118)
        | ~ c1_1(X118)
        | c3_1(X118) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f342,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f20,f340,f296,f337,f334]) ).

fof(f344,definition,
    ( spl0_28
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f346,plain,
    ( spl0_28
    | spl0_5
    | ~ spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f21,f340,f296,f261,f344]) ).

fof(f348,definition,
    ( spl0_29
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | c2_1(X116)
        | ~ c1_1(X116) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f350,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f22,f348,f296,f265,f258]) ).

fof(f352,definition,
    ( spl0_30
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f354,plain,
    ( spl0_25
    | spl0_30
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f23,f348,f296,f352,f334]) ).

fof(f355,plain,
    ( spl0_4
    | spl0_30
    | ~ spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f24,f348,f296,f352,f258]) ).

fof(f357,definition,
    ( spl0_31
  <=> ! [X113] :
        ( c2_1(X113)
        | ~ c3_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X113] :
        ( ~ c0_1(X113)
        | ~ c3_1(X113)
        | c2_1(X113) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f365,definition,
    ( spl0_33
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_34
  <=> ! [X111] :
        ( c2_1(X111)
        | ~ c1_1(X111)
        | ~ c0_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X111] :
        ( ~ c0_1(X111)
        | ~ c1_1(X111)
        | c2_1(X111) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f27,f368,f296,f308,f365]) ).

fof(f373,definition,
    ( spl0_35
  <=> ! [X109] :
        ( c2_1(X109)
        | ~ c1_1(X109)
        | c3_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | ~ c1_1(X109)
        | c2_1(X109) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_25
    | spl0_6
    | ~ spl0_15
    | spl0_35 ),
    inference(avatar_split_clause,[],[f29,f373,f296,f265,f334]) ).

fof(f379,definition,
    ( spl0_36
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c1_1(X103)
        | ~ c2_1(X103) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( spl0_23
    | spl0_1
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f32,f379,f296,f248,f325]) ).

fof(f382,plain,
    ( spl0_26
    | spl0_19
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f33,f379,f296,f311,f337]) ).

fof(f383,plain,
    ( spl0_17
    | spl0_24
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f212,f379,f296,f328,f304]) ).

fof(f385,definition,
    ( spl0_37
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f388,definition,
    ( spl0_38
  <=> ! [X98] :
        ( c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | c1_1(X98) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_26
    | spl0_37
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f35,f388,f296,f385,f337]) ).

fof(f391,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f36,f388,f296,f282,f265]) ).

fof(f393,plain,
    ( spl0_26
    | spl0_34
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f213,f388,f296,f368,f337]) ).

fof(f395,definition,
    ( spl0_39
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c2_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | ~ c2_1(X93)
        | c1_1(X93) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f399,definition,
    ( spl0_40
  <=> ! [X92] :
        ( ~ c0_1(X92)
        | ~ c3_1(X92)
        | ~ c2_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f400,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c3_1(X92)
        | ~ c2_1(X92) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f402,definition,
    ( spl0_41
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | c2_1(X91) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f404,plain,
    ( spl0_9
    | spl0_40
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f214,f402,f296,f399,f275]) ).

fof(f405,plain,
    ( spl0_31
    | spl0_35
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f215,f402,f296,f373,f357]) ).

fof(f407,definition,
    ( spl0_42
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c0_1(X87)
        | c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f408,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | c1_1(X87)
        | c2_1(X87) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( spl0_30
    | spl0_2
    | ~ spl0_15
    | spl0_42 ),
    inference(avatar_split_clause,[],[f42,f407,f296,f251,f352]) ).

fof(f414,definition,
    ( spl0_44
  <=> ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c1_1(X86)
        | c2_1(X86) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f417,plain,
    ( spl0_5
    | spl0_27
    | ~ spl0_15
    | spl0_44 ),
    inference(avatar_split_clause,[],[f216,f414,f296,f340,f261]) ).

fof(f419,definition,
    ( spl0_45
  <=> ! [X83] :
        ( c0_1(X83)
        | ~ c3_1(X83)
        | ~ c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X83] :
        ( c0_1(X83)
        | ~ c3_1(X83)
        | ~ c2_1(X83) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f421,plain,
    ( spl0_33
    | spl0_37
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f45,f419,f296,f385,f365]) ).

fof(f423,definition,
    ( spl0_46
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f426,plain,
    ( spl0_17
    | spl0_42
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f217,f419,f296,f407,f304]) ).

fof(f432,definition,
    ( spl0_48
  <=> ! [X75] :
        ( c0_1(X75)
        | ~ c2_1(X75)
        | ~ c1_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X75] :
        ( c0_1(X75)
        | ~ c2_1(X75)
        | ~ c1_1(X75) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_24
    | spl0_39
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f218,f432,f296,f395,f328]) ).

fof(f436,definition,
    ( spl0_49
  <=> ! [X72] :
        ( c0_1(X72)
        | ~ c2_1(X72)
        | c3_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X72] :
        ( c0_1(X72)
        | ~ c2_1(X72)
        | c3_1(X72) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl0_29
    | spl0_35
    | ~ spl0_15
    | spl0_49 ),
    inference(avatar_split_clause,[],[f219,f436,f296,f373,f348]) ).

fof(f446,definition,
    ( spl0_51
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_6
    | spl0_18
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f54,f446,f296,f308,f265]) ).

fof(f454,plain,
    ( spl0_46
    | spl0_35
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f224,f446,f296,f373,f423]) ).

fof(f455,plain,
    ( spl0_42
    | spl0_48
    | ~ spl0_15
    | spl0_51 ),
    inference(avatar_split_clause,[],[f225,f446,f296,f432,f407]) ).

fof(f461,definition,
    ( spl0_54
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f462,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c2_1(X52) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f465,plain,
    ( spl0_4
    | spl0_42
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f228,f461,f296,f407,f258]) ).

fof(f466,plain,
    ( spl0_5
    | spl0_51
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f229,f461,f296,f446,f261]) ).

fof(f467,plain,
    ( spl0_31
    | spl0_51
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f230,f461,f296,f446,f357]) ).

fof(f469,definition,
    ( spl0_55
  <=> ! [X42] :
        ( c0_1(X42)
        | c3_1(X42)
        | c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | c3_1(X42)
        | c2_1(X42) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,plain,
    ( spl0_26
    | spl0_13
    | ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f66,f469,f296,f289,f337]) ).

fof(f473,plain,
    ( spl0_26
    | spl0_46
    | ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f67,f469,f296,f423,f337]) ).

fof(f474,plain,
    ( spl0_1
    | spl0_40
    | ~ spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f231,f469,f296,f399,f248]) ).

fof(f476,definition,
    ( spl0_56
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c3_1(X37)
        | c1_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X37] :
        ( c0_1(X37)
        | ~ c3_1(X37)
        | c1_1(X37) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f480,plain,
    ( spl0_9
    | spl0_38
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f233,f476,f296,f388,f275]) ).

fof(f481,plain,
    ( spl0_36
    | spl0_41
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f234,f476,f296,f402,f379]) ).

fof(f482,plain,
    ( spl0_24
    | spl0_54
    | ~ spl0_15
    | spl0_56 ),
    inference(avatar_split_clause,[],[f235,f476,f296,f461,f328]) ).

fof(f484,definition,
    ( spl0_57
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_58
  <=> ! [X25] :
        ( c0_1(X25)
        | ~ c2_1(X25)
        | c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X25] :
        ( c0_1(X25)
        | ~ c2_1(X25)
        | c1_1(X25) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_57
    | spl0_22
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f236,f487,f296,f321,f484]) ).

fof(f496,definition,
    ( spl0_60
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f498,plain,
    ( spl0_60
    | spl0_54
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f239,f487,f296,f461,f496]) ).

fof(f504,definition,
    ( spl0_62
  <=> ! [X15] :
        ( c0_1(X15)
        | c2_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f505,plain,
    ( ! [X15] :
        ( c0_1(X15)
        | c2_1(X15)
        | c1_1(X15) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f514,plain,
    ( spl0_51
    | spl0_54
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f245,f504,f296,f461,f446]) ).

fof(f532,definition,
    ( spl0_67
  <=> c2_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_67
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f90,f423,f532]) ).

fof(f537,definition,
    ( spl0_68
  <=> c1_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f539,plain,
    ( spl0_68
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f91,f423,f537]) ).

fof(f541,definition,
    ( spl0_69
  <=> c0_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f542,plain,
    ( c0_1(a136)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( spl0_69
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f92,f423,f541]) ).

fof(f602,definition,
    ( spl0_82
  <=> c3_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_82
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f110,f334,f602]) ).

fof(f607,definition,
    ( spl0_83
  <=> c2_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_83
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f111,f334,f607]) ).

fof(f611,definition,
    ( spl0_84
  <=> c0_1(a182) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f612,plain,
    ( ~ c0_1(a182)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_84
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f112,f334,f611]) ).

fof(f616,definition,
    ( spl0_85
  <=> c3_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c3_1(a179)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f619,plain,
    ( ~ spl0_85
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f114,f325,f616]) ).

fof(f621,definition,
    ( spl0_86
  <=> c1_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ spl0_86
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f115,f325,f621]) ).

fof(f625,definition,
    ( spl0_87
  <=> c2_1(a179) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f627,plain,
    ( spl0_87
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f116,f325,f625]) ).

fof(f630,definition,
    ( spl0_88
  <=> c2_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_88
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f118,f311,f630]) ).

fof(f635,definition,
    ( spl0_89
  <=> c1_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_89
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f119,f311,f635]) ).

fof(f639,definition,
    ( spl0_90
  <=> c0_1(a176) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f640,plain,
    ( c0_1(a176)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( spl0_90
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f120,f311,f639]) ).

fof(f672,definition,
    ( spl0_97
  <=> c2_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ spl0_97
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f130,f251,f672]) ).

fof(f677,definition,
    ( spl0_98
  <=> c3_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f678,plain,
    ( c3_1(a164)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( spl0_98
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f131,f251,f677]) ).

fof(f681,definition,
    ( spl0_99
  <=> c1_1(a164) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_99
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f132,f251,f681]) ).

fof(f684,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f133,f251,f296]) ).

fof(f686,definition,
    ( spl0_100
  <=> c2_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ spl0_100
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f134,f365,f686]) ).

fof(f691,definition,
    ( spl0_101
  <=> c1_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ spl0_101
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f135,f365,f691]) ).

fof(f695,definition,
    ( spl0_102
  <=> c3_1(a160) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f696,plain,
    ( c3_1(a160)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( spl0_102
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f136,f365,f695]) ).

fof(f700,definition,
    ( spl0_103
  <=> c2_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ spl0_103
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f138,f352,f700]) ).

fof(f705,definition,
    ( spl0_104
  <=> c0_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f706,plain,
    ( ~ c0_1(a155)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( ~ spl0_104
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f139,f352,f705]) ).

fof(f709,definition,
    ( spl0_105
  <=> c1_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_105
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f140,f352,f709]) ).

fof(f728,definition,
    ( spl0_109
  <=> c0_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ c0_1(a153)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( ~ spl0_109
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f146,f265,f728]) ).

fof(f733,definition,
    ( spl0_110
  <=> c3_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f734,plain,
    ( c3_1(a153)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_110
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f147,f265,f733]) ).

fof(f737,definition,
    ( spl0_111
  <=> c2_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f739,plain,
    ( spl0_111
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f148,f265,f737]) ).

fof(f756,definition,
    ( spl0_115
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f759,plain,
    ( ~ spl0_115
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f154,f258,f756]) ).

fof(f761,definition,
    ( spl0_116
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f762,plain,
    ( c3_1(a143)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f763,plain,
    ( spl0_116
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f155,f258,f761]) ).

fof(f765,definition,
    ( spl0_117
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_117
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f156,f258,f765]) ).

fof(f770,definition,
    ( spl0_118
  <=> c1_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_118
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f158,f261,f770]) ).

fof(f775,definition,
    ( spl0_119
  <=> c3_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f776,plain,
    ( c3_1(a142)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( spl0_119
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f261,f775]) ).

fof(f779,definition,
    ( spl0_120
  <=> c0_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f780,plain,
    ( c0_1(a142)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f781,plain,
    ( spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f160,f261,f779]) ).

fof(f784,definition,
    ( spl0_121
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ c3_1(a141)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( ~ spl0_121
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f162,f344,f784]) ).

fof(f789,definition,
    ( spl0_122
  <=> c2_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ spl0_122
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f163,f344,f789]) ).

fof(f793,definition,
    ( spl0_123
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ spl0_123
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f164,f344,f793]) ).

fof(f798,definition,
    ( spl0_124
  <=> c3_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ c3_1(a140)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( ~ spl0_124
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f166,f308,f798]) ).

fof(f803,definition,
    ( spl0_125
  <=> c2_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_125
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f167,f308,f803]) ).

fof(f807,definition,
    ( spl0_126
  <=> c0_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f808,plain,
    ( c0_1(a140)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f809,plain,
    ( spl0_126
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f168,f308,f807]) ).

fof(f812,definition,
    ( spl0_127
  <=> c2_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ spl0_127
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f170,f289,f812]) ).

fof(f817,definition,
    ( spl0_128
  <=> c1_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_128
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f171,f289,f817]) ).

fof(f821,definition,
    ( spl0_129
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f822,plain,
    ( c0_1(a138)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f823,plain,
    ( spl0_129
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f172,f289,f821]) ).

fof(f826,definition,
    ( spl0_130
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ c3_1(a134)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( ~ spl0_130
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f248,f826]) ).

fof(f831,definition,
    ( spl0_131
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ c0_1(a134)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f833,plain,
    ( ~ spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f248,f831]) ).

fof(f835,definition,
    ( spl0_132
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f837,plain,
    ( spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f248,f835]) ).

fof(f838,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f248,f296]) ).

fof(f840,definition,
    ( spl0_133
  <=> c2_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f843,plain,
    ( ~ spl0_133
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f178,f337,f840]) ).

fof(f845,definition,
    ( spl0_134
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ c0_1(a132)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( ~ spl0_134
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f179,f337,f845]) ).

fof(f849,definition,
    ( spl0_135
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f850,plain,
    ( c3_1(a132)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f851,plain,
    ( spl0_135
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f337,f849]) ).

fof(f854,definition,
    ( spl0_136
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_136
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f182,f275,f854]) ).

fof(f859,definition,
    ( spl0_137
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_137
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f183,f275,f859]) ).

fof(f863,definition,
    ( spl0_138
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ c0_1(a131)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f865,plain,
    ( ~ spl0_138
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f184,f275,f863]) ).

fof(f868,definition,
    ( spl0_139
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f871,plain,
    ( ~ spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f186,f484,f868]) ).

fof(f873,definition,
    ( spl0_140
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ spl0_140
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f187,f484,f873]) ).

fof(f877,definition,
    ( spl0_141
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f878,plain,
    ( ~ c0_1(a130)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f879,plain,
    ( ~ spl0_141
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f188,f484,f877]) ).

fof(f882,definition,
    ( spl0_142
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ c3_1(a128)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( ~ spl0_142
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f190,f496,f882]) ).

fof(f887,definition,
    ( spl0_143
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f889,plain,
    ( spl0_143
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f191,f496,f887]) ).

fof(f891,definition,
    ( spl0_144
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f892,plain,
    ( c0_1(a128)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( spl0_144
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f192,f496,f891]) ).

fof(f896,definition,
    ( spl0_145
  <=> c3_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f897,plain,
    ( ~ c3_1(a127)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( ~ spl0_145
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f194,f282,f896]) ).

fof(f901,definition,
    ( spl0_146
  <=> c2_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ spl0_146
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f195,f282,f901]) ).

fof(f905,definition,
    ( spl0_147
  <=> c1_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f907,plain,
    ( spl0_147
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f196,f282,f905]) ).

fof(f910,definition,
    ( spl0_148
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c0_1(a125)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f913,plain,
    ( ~ spl0_148
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f198,f254,f910]) ).

fof(f915,definition,
    ( spl0_149
  <=> c2_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f917,plain,
    ( spl0_149
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f199,f254,f915]) ).

fof(f919,definition,
    ( spl0_150
  <=> c1_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_150
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f254,f919]) ).

fof(f922,plain,
    ( spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f201,f254,f296]) ).

fof(f938,definition,
    ( spl0_154
  <=> c1_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ spl0_154
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f206,f385,f938]) ).

fof(f943,definition,
    ( spl0_155
  <=> c0_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ c0_1(a123)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f945,plain,
    ( ~ spl0_155
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f207,f385,f943]) ).

fof(f947,definition,
    ( spl0_156
  <=> c2_1(a123) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f949,plain,
    ( spl0_156
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f208,f385,f947]) ).

fof(f970,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(resolution,[],[f329,f300]) ).

fof(f971,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f970]) ).

fof(f976,plain,
    ( c2_1(a164)
    | ~ c1_1(a164)
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(resolution,[],[f349,f678]) ).

fof(f1001,definition,
    ( spl0_159
  <=> c1_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1002,plain,
    ( c1_1(a153)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1025,plain,
    ( ~ c2_1(a179)
    | c1_1(a179)
    | ~ spl0_39
    | spl0_85 ),
    inference(resolution,[],[f396,f617]) ).

fof(f1029,plain,
    ( spl0_86
    | ~ spl0_87
    | ~ spl0_39
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1025,f616,f395,f625,f621]) ).

fof(f1063,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(resolution,[],[f420,f389]) ).

fof(f1070,plain,
    ( ~ c3_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_45
    | spl0_109 ),
    inference(resolution,[],[f420,f729]) ).

fof(f1076,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1063]) ).

fof(f1079,plain,
    ( spl0_36
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1076,f419,f388,f379]) ).

fof(f1085,plain,
    ( ~ c2_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f542,f322]) ).

fof(f1086,plain,
    ( ~ c3_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_17
    | ~ spl0_69 ),
    inference(resolution,[],[f542,f305]) ).

fof(f1089,definition,
    ( spl0_163
  <=> c3_1(a136) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1090,plain,
    ( ~ c3_1(a136)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1091,plain,
    ( ~ spl0_68
    | ~ spl0_163
    | ~ spl0_17
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1086,f541,f304,f1089,f537]) ).

fof(f1095,plain,
    ( ~ spl0_111
    | ~ spl0_110
    | ~ spl0_45
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1070,f728,f419,f733,f737]) ).

fof(f1116,plain,
    ( c1_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f380,f762]) ).

fof(f1117,plain,
    ( c1_1(a153)
    | ~ c2_1(a153)
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(resolution,[],[f380,f734]) ).

fof(f1125,plain,
    ( ~ spl0_117
    | spl0_115
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1116,f761,f379,f756,f765]) ).

fof(f1126,plain,
    ( ~ spl0_99
    | spl0_97
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f976,f677,f348,f672,f681]) ).

fof(f1127,plain,
    ( c1_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(resolution,[],[f776,f380]) ).

fof(f1130,definition,
    ( spl0_165
  <=> c2_1(a142) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1133,plain,
    ( ~ spl0_165
    | spl0_118
    | ~ spl0_36
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1127,f775,f379,f770,f1130]) ).

fof(f1134,plain,
    ( ~ c3_1(a142)
    | c1_1(a142)
    | ~ spl0_38
    | ~ spl0_120 ),
    inference(resolution,[],[f780,f389]) ).

fof(f1136,plain,
    ( ~ c3_1(a142)
    | c2_1(a142)
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(resolution,[],[f780,f358]) ).

fof(f1143,plain,
    ( spl0_118
    | ~ spl0_119
    | ~ spl0_38
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1134,f779,f388,f775,f770]) ).

fof(f1145,plain,
    ( ~ c2_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_24
    | spl0_130 ),
    inference(resolution,[],[f827,f329]) ).

fof(f1147,definition,
    ( spl0_166
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1154,plain,
    ( c2_1(a132)
    | ~ c1_1(a132)
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(resolution,[],[f349,f850]) ).

fof(f1167,definition,
    ( spl0_167
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ spl0_167
    | spl0_133
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1154,f849,f348,f840,f1167]) ).

fof(f1177,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(resolution,[],[f403,f776]) ).

fof(f1180,plain,
    ( c1_1(a160)
    | c2_1(a160)
    | ~ spl0_41
    | ~ spl0_102 ),
    inference(resolution,[],[f403,f696]) ).

fof(f1187,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_41
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1180,f695,f402,f691,f686]) ).

fof(f1195,plain,
    ( ~ spl0_111
    | spl0_159
    | ~ spl0_36
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1117,f733,f379,f1001,f737]) ).

fof(f1211,plain,
    ( ~ c2_1(a153)
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_159 ),
    inference(resolution,[],[f1002,f971]) ).

fof(f1212,plain,
    ( ~ spl0_111
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1211,f1001,f328,f299,f737]) ).

fof(f1216,plain,
    ( ~ c1_1(a127)
    | c2_1(a127)
    | ~ spl0_35
    | spl0_145 ),
    inference(resolution,[],[f374,f897]) ).

fof(f1228,plain,
    ( spl0_146
    | ~ spl0_147
    | ~ spl0_35
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1216,f896,f373,f905,f901]) ).

fof(f1248,definition,
    ( spl0_169
  <=> c3_1(a155) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1291,plain,
    ( ~ c3_1(a131)
    | c2_1(a131)
    | ~ spl0_51
    | spl0_138 ),
    inference(resolution,[],[f447,f864]) ).

fof(f1292,plain,
    ( ~ c3_1(a132)
    | c2_1(a132)
    | ~ spl0_51
    | spl0_134 ),
    inference(resolution,[],[f447,f846]) ).

fof(f1296,plain,
    ( ~ c3_1(a155)
    | c2_1(a155)
    | ~ spl0_51
    | spl0_104 ),
    inference(resolution,[],[f447,f706]) ).

fof(f1302,plain,
    ( spl0_103
    | ~ spl0_169
    | ~ spl0_51
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1296,f705,f446,f1248,f700]) ).

fof(f1304,plain,
    ( spl0_133
    | ~ spl0_135
    | ~ spl0_51
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1292,f845,f446,f849,f840]) ).

fof(f1307,definition,
    ( spl0_171
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1309,plain,
    ( spl0_136
    | ~ spl0_171
    | ~ spl0_51
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1291,f863,f446,f1307,f854]) ).

fof(f1321,plain,
    ( ~ c2_1(a136)
    | ~ c1_1(a136)
    | ~ spl0_24
    | spl0_163 ),
    inference(resolution,[],[f1090,f329]) ).

fof(f1344,plain,
    ( ~ c1_1(a132)
    | c2_1(a132)
    | ~ spl0_54
    | spl0_134 ),
    inference(resolution,[],[f462,f846]) ).

fof(f1348,plain,
    ( ~ c1_1(a155)
    | c2_1(a155)
    | ~ spl0_54
    | spl0_104 ),
    inference(resolution,[],[f462,f706]) ).

fof(f1356,plain,
    ( spl0_103
    | ~ spl0_105
    | ~ spl0_54
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1348,f705,f461,f709,f700]) ).

fof(f1358,plain,
    ( spl0_133
    | ~ spl0_167
    | ~ spl0_54
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1344,f845,f461,f1167,f840]) ).

fof(f1361,plain,
    ( c1_1(a142)
    | c2_1(a142)
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f408,f780]) ).

fof(f1363,plain,
    ( c1_1(a176)
    | c2_1(a176)
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(resolution,[],[f408,f640]) ).

fof(f1372,plain,
    ( spl0_165
    | spl0_118
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1361,f779,f407,f770,f1130]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(resolution,[],[f470,f408]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1373]) ).

fof(f1397,plain,
    ( spl0_44
    | ~ spl0_42
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1389,f469,f407,f414]) ).

fof(f1402,definition,
    ( spl0_173
  <=> c1_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1407,plain,
    ( ~ c1_1(a140)
    | c3_1(a140)
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(resolution,[],[f808,f341]) ).

fof(f1411,plain,
    ( spl0_124
    | ~ spl0_173
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1407,f807,f340,f1402,f798]) ).

fof(f1422,plain,
    ( ~ c1_1(a138)
    | c3_1(a138)
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(resolution,[],[f822,f341]) ).

fof(f1424,plain,
    ( ~ c3_1(a138)
    | ~ c1_1(a138)
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(resolution,[],[f822,f305]) ).

fof(f1427,definition,
    ( spl0_174
  <=> c3_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1429,plain,
    ( ~ spl0_128
    | ~ spl0_174
    | ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1424,f821,f304,f1427,f817]) ).

fof(f1431,plain,
    ( spl0_174
    | ~ spl0_128
    | ~ spl0_27
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1422,f821,f340,f817,f1427]) ).

fof(f1442,plain,
    ( ~ c1_1(a138)
    | c2_1(a138)
    | ~ spl0_34
    | ~ spl0_129 ),
    inference(resolution,[],[f369,f822]) ).

fof(f1449,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_34
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1442,f821,f368,f817,f812]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(resolution,[],[f477,f408]) ).

fof(f1456,plain,
    ( ~ c3_1(a131)
    | c1_1(a131)
    | ~ spl0_56
    | spl0_138 ),
    inference(resolution,[],[f477,f864]) ).

fof(f1457,plain,
    ( ~ c3_1(a132)
    | c1_1(a132)
    | ~ spl0_56
    | spl0_134 ),
    inference(resolution,[],[f477,f846]) ).

fof(f1459,plain,
    ( ~ c3_1(a153)
    | c1_1(a153)
    | ~ spl0_56
    | spl0_109 ),
    inference(resolution,[],[f477,f729]) ).

fof(f1465,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1451]) ).

fof(f1469,plain,
    ( spl0_167
    | ~ spl0_135
    | ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1457,f845,f476,f849,f1167]) ).

fof(f1472,plain,
    ( spl0_41
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1465,f476,f407,f402]) ).

fof(f1473,plain,
    ( spl0_165
    | ~ spl0_119
    | ~ spl0_31
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1136,f779,f357,f775,f1130]) ).

fof(f1475,plain,
    ( spl0_165
    | spl0_118
    | ~ spl0_41
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1177,f775,f402,f770,f1130]) ).

fof(f1488,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ spl0_41
    | ~ spl0_135 ),
    inference(resolution,[],[f403,f850]) ).

fof(f1495,plain,
    ( spl0_133
    | spl0_167
    | ~ spl0_41
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1488,f849,f402,f1167,f840]) ).

fof(f1503,plain,
    ( ~ c2_1(a123)
    | c1_1(a123)
    | ~ spl0_58
    | spl0_155 ),
    inference(resolution,[],[f488,f944]) ).

fof(f1507,plain,
    ( ~ c2_1(a134)
    | c1_1(a134)
    | ~ spl0_58
    | spl0_131 ),
    inference(resolution,[],[f488,f832]) ).

fof(f1517,plain,
    ( spl0_166
    | ~ spl0_132
    | ~ spl0_58
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1507,f831,f487,f835,f1147]) ).

fof(f1520,plain,
    ( spl0_154
    | ~ spl0_156
    | ~ spl0_58
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1503,f943,f487,f947,f938]) ).

fof(f1523,plain,
    ( ~ c1_1(a128)
    | c2_1(a128)
    | ~ spl0_35
    | spl0_142 ),
    inference(resolution,[],[f883,f374]) ).

fof(f1526,definition,
    ( spl0_175
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1529,plain,
    ( spl0_175
    | ~ spl0_143
    | ~ spl0_35
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1523,f882,f373,f887,f1526]) ).

fof(f1532,plain,
    ( ~ c1_1(a128)
    | c2_1(a128)
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(resolution,[],[f892,f369]) ).

fof(f1534,plain,
    ( ~ c1_1(a128)
    | c3_1(a128)
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(resolution,[],[f892,f341]) ).

fof(f1538,plain,
    ( spl0_142
    | ~ spl0_143
    | ~ spl0_27
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1534,f891,f340,f887,f882]) ).

fof(f1539,plain,
    ( spl0_175
    | ~ spl0_143
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1532,f891,f368,f887,f1526]) ).

fof(f1551,plain,
    ( ~ c3_1(a142)
    | ~ c2_1(a142)
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(resolution,[],[f400,f780]) ).

fof(f1555,plain,
    ( ~ spl0_165
    | ~ spl0_119
    | ~ spl0_40
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1551,f779,f399,f775,f1130]) ).

fof(f1589,plain,
    ( c3_1(a131)
    | c2_1(a131)
    | ~ spl0_55
    | spl0_138 ),
    inference(resolution,[],[f470,f864]) ).

fof(f1593,plain,
    ( c3_1(a155)
    | c2_1(a155)
    | ~ spl0_55
    | spl0_104 ),
    inference(resolution,[],[f470,f706]) ).

fof(f1595,plain,
    ( c3_1(a182)
    | c2_1(a182)
    | ~ spl0_55
    | spl0_84 ),
    inference(resolution,[],[f470,f612]) ).

fof(f1599,plain,
    ( spl0_83
    | spl0_82
    | ~ spl0_55
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1595,f611,f469,f602,f607]) ).

fof(f1600,plain,
    ( spl0_103
    | spl0_169
    | ~ spl0_55
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1593,f705,f469,f1248,f700]) ).

fof(f1601,plain,
    ( spl0_136
    | spl0_171
    | ~ spl0_55
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1589,f863,f469,f1307,f854]) ).

fof(f1609,plain,
    ( c2_1(a131)
    | c1_1(a131)
    | ~ spl0_62
    | spl0_138 ),
    inference(resolution,[],[f505,f864]) ).

fof(f1619,plain,
    ( spl0_137
    | spl0_136
    | ~ spl0_62
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1609,f863,f504,f854,f859]) ).

fof(f1621,plain,
    ( spl0_137
    | ~ spl0_171
    | ~ spl0_56
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1456,f863,f476,f1307,f859]) ).

fof(f1622,plain,
    ( spl0_159
    | ~ spl0_110
    | ~ spl0_56
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1459,f728,f476,f733,f1001]) ).

fof(f1623,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1085,f541,f321,f532,f537]) ).

fof(f1638,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_24
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1321,f1089,f328,f532,f537]) ).

fof(f1649,plain,
    ( ~ c1_1(a140)
    | c2_1(a140)
    | ~ spl0_35
    | spl0_124 ),
    inference(resolution,[],[f799,f374]) ).

fof(f1650,plain,
    ( spl0_125
    | ~ spl0_173
    | ~ spl0_35
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1649,f798,f373,f1402,f803]) ).

fof(f1655,definition,
    ( spl0_176
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1658,plain,
    ( c2_1(a130)
    | c1_1(a130)
    | ~ spl0_62
    | spl0_141 ),
    inference(resolution,[],[f878,f505]) ).

fof(f1663,plain,
    ( spl0_140
    | spl0_176
    | ~ spl0_62
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1658,f877,f504,f1655,f873]) ).

fof(f1667,plain,
    ( ~ c2_1(a125)
    | ~ c1_1(a125)
    | ~ spl0_48
    | spl0_148 ),
    inference(resolution,[],[f433,f911]) ).

fof(f1671,plain,
    ( ~ c2_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_48
    | spl0_131 ),
    inference(resolution,[],[f433,f832]) ).

fof(f1672,plain,
    ( ~ c2_1(a153)
    | ~ c1_1(a153)
    | ~ spl0_48
    | spl0_109 ),
    inference(resolution,[],[f433,f729]) ).

fof(f1679,plain,
    ( ~ spl0_159
    | ~ spl0_111
    | ~ spl0_48
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1672,f728,f432,f737,f1001]) ).

fof(f1680,plain,
    ( ~ spl0_166
    | ~ spl0_132
    | ~ spl0_48
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1671,f831,f432,f835,f1147]) ).

fof(f1681,plain,
    ( ~ spl0_150
    | ~ spl0_149
    | ~ spl0_48
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1667,f910,f432,f915,f919]) ).

fof(f1684,plain,
    ( ~ spl0_166
    | ~ spl0_132
    | ~ spl0_24
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1145,f826,f328,f835,f1147]) ).

fof(f1688,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1363,f639,f407,f635,f630]) ).

fof(f1708,plain,
    ( ~ c2_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_24
    | spl0_142 ),
    inference(resolution,[],[f329,f883]) ).

fof(f1715,plain,
    ( ~ spl0_143
    | ~ spl0_175
    | ~ spl0_24
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1708,f882,f328,f1526,f887]) ).

fof(f1722,plain,
    ( c1_1(a140)
    | c2_1(a140)
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f408,f808]) ).

fof(f1733,plain,
    ( spl0_125
    | spl0_173
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1722,f807,f407,f1402,f803]) ).

fof(f1739,plain,
    ( c1_1(a140)
    | c2_1(a140)
    | ~ spl0_44
    | spl0_124 ),
    inference(resolution,[],[f415,f799]) ).

fof(f1740,plain,
    ( c1_1(a141)
    | c2_1(a141)
    | ~ spl0_44
    | spl0_121 ),
    inference(resolution,[],[f415,f785]) ).

fof(f1747,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_44
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1740,f784,f414,f793,f789]) ).

fof(f1748,plain,
    ( spl0_125
    | spl0_173
    | ~ spl0_44
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1739,f798,f414,f1402,f803]) ).

fof(f1754,plain,
    ( ~ c2_1(a130)
    | c3_1(a130)
    | ~ spl0_49
    | spl0_141 ),
    inference(resolution,[],[f437,f878]) ).

fof(f1757,plain,
    ( ~ c2_1(a134)
    | c3_1(a134)
    | ~ spl0_49
    | spl0_131 ),
    inference(resolution,[],[f437,f832]) ).

fof(f1764,plain,
    ( spl0_130
    | ~ spl0_132
    | ~ spl0_49
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1757,f831,f436,f835,f826]) ).

fof(f1766,plain,
    ( spl0_139
    | ~ spl0_176
    | ~ spl0_49
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1754,f877,f436,f1655,f868]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s7,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s10,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s13,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s15,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s16,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s17,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_15
    | spl0_29 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s18,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s19,plain,
    ( spl0_4
    | ~ spl0_15
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s22,plain,
    ( ~ spl0_15
    | spl0_18
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s24,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_25
    | spl0_35 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_23
    | spl0_36 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s28,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_26
    | spl0_36 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s29,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_24
    | spl0_36 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s30,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s31,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_15
    | spl0_38 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s33,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_34
    | spl0_38 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s35,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s36,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s37,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_30
    | spl0_42 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s39,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_27
    | spl0_44 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s40,plain,
    ( ~ spl0_15
    | spl0_33
    | spl0_37
    | spl0_45 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s42,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_42
    | spl0_45 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s44,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_39
    | spl0_48 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s45,plain,
    ( ~ spl0_15
    | spl0_29
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s49,plain,
    ( spl0_6
    | ~ spl0_15
    | spl0_18
    | spl0_51 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s52,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s53,plain,
    ( ~ spl0_15
    | spl0_42
    | spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s57,plain,
    ( spl0_4
    | ~ spl0_15
    | spl0_42
    | spl0_54 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s58,plain,
    ( spl0_5
    | ~ spl0_15
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s59,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s61,plain,
    ( spl0_13
    | ~ spl0_15
    | spl0_26
    | spl0_55 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s62,plain,
    ( ~ spl0_15
    | spl0_26
    | spl0_46
    | spl0_55 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s63,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_40
    | spl0_55 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s66,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s67,plain,
    ( ~ spl0_15
    | spl0_36
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s68,plain,
    ( ~ spl0_15
    | spl0_24
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s69,plain,
    ( ~ spl0_15
    | spl0_22
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s72,plain,
    ( ~ spl0_15
    | spl0_54
    | spl0_58
    | spl0_60 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s79,plain,
    ( ~ spl0_15
    | spl0_51
    | spl0_54
    | spl0_62 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s85,plain,
    ( ~ spl0_46
    | spl0_67 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s86,plain,
    ( ~ spl0_46
    | spl0_68 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s87,plain,
    ( ~ spl0_46
    | spl0_69 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s105,plain,
    ( ~ spl0_25
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s106,plain,
    ( ~ spl0_25
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s107,plain,
    ( ~ spl0_25
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s109,plain,
    ( ~ spl0_23
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s110,plain,
    ( ~ spl0_23
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s111,plain,
    ( ~ spl0_23
    | spl0_87 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s113,plain,
    ( ~ spl0_19
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s114,plain,
    ( ~ spl0_19
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s115,plain,
    ( ~ spl0_19
    | spl0_90 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s125,plain,
    ( ~ spl0_2
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s126,plain,
    ( ~ spl0_2
    | spl0_98 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s127,plain,
    ( ~ spl0_2
    | spl0_99 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s128,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s129,plain,
    ( ~ spl0_33
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s130,plain,
    ( ~ spl0_33
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s131,plain,
    ( ~ spl0_33
    | spl0_102 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s135,plain,
    ( ~ spl0_30
    | spl0_105 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s141,plain,
    ( ~ spl0_6
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s142,plain,
    ( ~ spl0_6
    | spl0_110 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s143,plain,
    ( ~ spl0_6
    | spl0_111 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s149,plain,
    ( ~ spl0_4
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s150,plain,
    ( ~ spl0_4
    | spl0_116 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s151,plain,
    ( ~ spl0_4
    | spl0_117 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s153,plain,
    ( ~ spl0_5
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s154,plain,
    ( ~ spl0_5
    | spl0_119 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s155,plain,
    ( ~ spl0_5
    | spl0_120 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s157,plain,
    ( ~ spl0_28
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s158,plain,
    ( ~ spl0_28
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s159,plain,
    ( ~ spl0_28
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s161,plain,
    ( ~ spl0_18
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s162,plain,
    ( ~ spl0_18
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s163,plain,
    ( ~ spl0_18
    | spl0_126 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s165,plain,
    ( ~ spl0_13
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s166,plain,
    ( ~ spl0_13
    | spl0_128 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s167,plain,
    ( ~ spl0_13
    | spl0_129 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s169,plain,
    ( ~ spl0_1
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s170,plain,
    ( ~ spl0_1
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s171,plain,
    ( ~ spl0_1
    | spl0_132 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s172,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_135 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s177,plain,
    ( ~ spl0_9
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s178,plain,
    ( ~ spl0_9
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s179,plain,
    ( ~ spl0_9
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s181,plain,
    ( ~ spl0_57
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s182,plain,
    ( ~ spl0_57
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s183,plain,
    ( ~ spl0_57
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s185,plain,
    ( ~ spl0_60
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s186,plain,
    ( ~ spl0_60
    | spl0_143 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s187,plain,
    ( ~ spl0_60
    | spl0_144 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s189,plain,
    ( ~ spl0_11
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s190,plain,
    ( ~ spl0_11
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s191,plain,
    ( ~ spl0_11
    | spl0_147 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s193,plain,
    ( ~ spl0_3
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s194,plain,
    ( ~ spl0_3
    | spl0_149 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s195,plain,
    ( ~ spl0_3
    | spl0_150 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s196,plain,
    ( ~ spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s201,plain,
    ( ~ spl0_37
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s202,plain,
    ( ~ spl0_37
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s203,plain,
    ( ~ spl0_37
    | spl0_156 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s215,plain,
    ( ~ spl0_39
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s222,plain,
    ( spl0_36
    | ~ spl0_38
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s223,plain,
    ( ~ spl0_17
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s227,plain,
    ( ~ spl0_45
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s232,plain,
    ( ~ spl0_36
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s233,plain,
    ( ~ spl0_29
    | spl0_97
    | ~ spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s234,plain,
    ( ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s236,plain,
    ( ~ spl0_38
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s240,plain,
    ( ~ spl0_29
    | spl0_133
    | ~ spl0_135
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s243,plain,
    ( ~ spl0_41
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s250,plain,
    ( ~ spl0_36
    | ~ spl0_110
    | ~ spl0_111
    | spl0_159 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s254,plain,
    ( ~ spl0_16
    | ~ spl0_24
    | ~ spl0_111
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s257,plain,
    ( ~ spl0_35
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s267,plain,
    ( ~ spl0_51
    | spl0_103
    | spl0_104
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s269,plain,
    ( ~ spl0_51
    | spl0_133
    | spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s270,plain,
    ( ~ spl0_51
    | spl0_136
    | spl0_138
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1309]) ).

cnf(s277,plain,
    ( ~ spl0_54
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1356]) ).

cnf(s279,plain,
    ( ~ spl0_54
    | spl0_133
    | spl0_134
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s284,plain,
    ( ~ spl0_42
    | spl0_118
    | ~ spl0_120
    | spl0_165 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s289,plain,
    ( ~ spl0_42
    | spl0_44
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f1397]) ).

cnf(s291,plain,
    ( ~ spl0_27
    | spl0_124
    | ~ spl0_126
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1411]) ).

cnf(s296,plain,
    ( ~ spl0_17
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1429]) ).

cnf(s297,plain,
    ( ~ spl0_27
    | ~ spl0_128
    | ~ spl0_129
    | spl0_174 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s303,plain,
    ( ~ spl0_34
    | spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s307,plain,
    ( ~ spl0_56
    | spl0_134
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f1469]) ).

cnf(s309,plain,
    ( spl0_41
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1472]) ).

cnf(s310,plain,
    ( ~ spl0_31
    | ~ spl0_119
    | ~ spl0_120
    | spl0_165 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s312,plain,
    ( ~ spl0_41
    | spl0_118
    | ~ spl0_119
    | spl0_165 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s315,plain,
    ( ~ spl0_41
    | spl0_133
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s318,plain,
    ( ~ spl0_58
    | spl0_131
    | ~ spl0_132
    | spl0_166 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s319,plain,
    ( ~ spl0_58
    | spl0_154
    | spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s320,plain,
    ( ~ spl0_35
    | spl0_142
    | ~ spl0_143
    | spl0_175 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s321,plain,
    ( ~ spl0_27
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s322,plain,
    ( ~ spl0_34
    | ~ spl0_143
    | ~ spl0_144
    | spl0_175 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s330,plain,
    ( ~ spl0_40
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s343,plain,
    ( ~ spl0_55
    | spl0_82
    | spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s344,plain,
    ( ~ spl0_55
    | spl0_103
    | spl0_104
    | spl0_169 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s345,plain,
    ( ~ spl0_55
    | spl0_136
    | spl0_138
    | spl0_171 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s346,plain,
    ( ~ spl0_62
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s348,plain,
    ( ~ spl0_56
    | spl0_137
    | spl0_138
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s349,plain,
    ( ~ spl0_56
    | spl0_109
    | ~ spl0_110
    | spl0_159 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s350,plain,
    ( ~ spl0_22
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s361,plain,
    ( ~ spl0_24
    | ~ spl0_67
    | ~ spl0_68
    | spl0_163 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s365,plain,
    ( ~ spl0_35
    | spl0_124
    | spl0_125
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s368,plain,
    ( ~ spl0_62
    | spl0_140
    | spl0_141
    | spl0_176 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s371,plain,
    ( ~ spl0_48
    | spl0_109
    | ~ spl0_111
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s372,plain,
    ( ~ spl0_48
    | spl0_131
    | ~ spl0_132
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s373,plain,
    ( ~ spl0_48
    | spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s376,plain,
    ( ~ spl0_24
    | spl0_130
    | ~ spl0_132
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s381,plain,
    ( ~ spl0_42
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1688]) ).

cnf(s399,plain,
    ( ~ spl0_24
    | spl0_142
    | ~ spl0_143
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s402,plain,
    ( ~ spl0_42
    | spl0_125
    | ~ spl0_126
    | spl0_173 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s405,plain,
    ( ~ spl0_44
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s406,plain,
    ( ~ spl0_44
    | spl0_124
    | spl0_125
    | spl0_173 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s410,plain,
    ( ~ spl0_49
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s411,plain,
    ( ~ spl0_49
    | spl0_139
    | spl0_141
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s414,plain,
    ( spl0_6
    | ~ spl0_5
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s36,s312,s310,s330,s63,s343,s105,s106,s107,s24,s257,s189,s190,s191,s31,s236,s153,s154,s155]) ).

cnf(s415,plain,
    ( spl0_165
    | spl0_35
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(rat,[],[s36,s312,s310,s155,s154,s153]) ).

cnf(s416,plain,
    ( ~ spl0_25
    | ~ spl0_55 ),
    inference(rat,[],[s343,s105,s106,s107]) ).

cnf(s417,plain,
    ( ~ spl0_56
    | spl0_31
    | ~ spl0_24
    | ~ spl0_5
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s59,s269,s279,s307,s173,s174,s175,s33,s303,s165,s166,s167,s8,s254,s349,s236,s153,s154,s155,s143,s142,s141,s414]) ).

cnf(s419,plain,
    ( ~ spl0_19
    | ~ spl0_42 ),
    inference(rat,[],[s381,s113,s114,s115]) ).

cnf(s420,plain,
    ( ~ spl0_33
    | ~ spl0_41 ),
    inference(rat,[],[s243,s129,s130,s131]) ).

cnf(s421,plain,
    ( ~ spl0_56
    | spl0_58
    | ~ spl0_24
    | spl0_35
    | ~ spl0_5
    | ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s411,s368,s181,s182,s183,s69,s350,s85,s86,s87,s79,s45,s52,s279,s240,s269,s307,s173,s174,s175,s33,s303,s165,s166,s167,s8,s254,s349,s236,s153,s154,s155,s143,s142,s141,s414]) ).

cnf(s422,plain,
    ( ~ spl0_41
    | spl0_35
    | ~ spl0_5
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s279,s315,s173,s174,s175,s28,s419,s53,s79,s270,s346,s345,s177,s178,s179,s66,s421,s319,s201,s202,s203,s40,s420,s236,s227,s141,s142,s143,s414,s63,s330,s155,s44,s215,s109,s110,s111,s27,s234,s415,s154,s153,s196,s373,s193,s194,s195]) ).

cnf(s423,plain,
    ( spl0_35
    | ~ spl0_5
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s348,s345,s177,s178,s179,s35,s67,s422,s63,s234,s330,s415,s196,s155,s154,s153]) ).

cnf(s424,plain,
    ( ~ spl0_11
    | ~ spl0_35 ),
    inference(rat,[],[s257,s189,s190,s191]) ).

cnf(s425,plain,
    ( spl0_42
    | spl0_4
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s277,s133,s134,s135,s57,s37]) ).

cnf(s426,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s79,s346,s279,s177,s178,s179,s315,s66,s67,s269,s349,s173,s174,s175,s254,s28,s13,s234,s419,s284,s425,s7,s424,s423,s141,s142,s143,s414,s236,s153,s154,s155,s2,s196,s1]) ).

cnf(s427,plain,
    ( ~ spl0_55
    | spl0_44
    | spl0_48
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s344,s267,s133,s134,s53,s37,s289]) ).

cnf(s428,plain,
    ( spl0_165
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s67,s417,s312,s310,s44,s215,s109,s110,s111,s27,s232,s149,s150,s151,s426,s196,s373,s193,s194,s195,s1,s155,s154,s153]) ).

cnf(s430,plain,
    ( ~ spl0_18
    | ~ spl0_44
    | ~ spl0_35 ),
    inference(rat,[],[s365,s406,s161,s162]) ).

cnf(s431,plain,
    ( ~ spl0_13
    | ~ spl0_34 ),
    inference(rat,[],[s303,s165,s166,s167]) ).

cnf(s432,plain,
    ( ~ spl0_41
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s279,s315,s173,s174,s175,s28,s419,s53,s79,s270,s346,s345,s177,s178,s179,s66,s349,s254,s8,s431,s22,s420,s44,s215,s109,s110,s111,s27,s232,s149,s150,s151,s426,s236,s153,s143,s142,s141,s414,s430,s427,s63,s330,s428,s155,s154,s373,s193,s194,s195,s196,s423,s1]) ).

cnf(s433,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s348,s345,s177,s178,s179,s35,s67,s432,s63,s330,s428,s154,s155,s196,s1,s232,s149,s150,s151,s426]) ).

cnf(s434,plain,
    ( ~ spl0_28
    | ~ spl0_44 ),
    inference(rat,[],[s405,s157,s158,s159]) ).

cnf(s437,plain,
    ( ~ spl0_26
    | ~ spl0_41
    | spl0_5
    | ~ spl0_15 ),
    inference(rat,[],[s279,s58,s315,s269,s173,s174,s175]) ).

cnf(s439,plain,
    ( spl0_42
    | ~ spl0_55
    | spl0_48
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s344,s267,s133,s134,s53,s37]) ).

cnf(s440,plain,
    ( ~ spl0_42
    | spl0_5
    | spl0_36
    | ~ spl0_15 ),
    inference(rat,[],[s309,s67,s437,s28,s419]) ).

cnf(s441,plain,
    ( spl0_26
    | spl0_55
    | spl0_42
    | ~ spl0_24
    | spl0_36
    | ~ spl0_15 ),
    inference(rat,[],[s42,s222,s223,s33,s361,s431,s85,s86,s87,s61,s62]) ).

cnf(s442,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s269,s173,s174,s175,s441,s439,s53,s440,s433,s44,s215,s109,s110,s111,s27,s232,s149,s150,s151,s426,s373,s193,s194,s195,s196,s1]) ).

cnf(s443,plain,
    ( spl0_33
    | spl0_18
    | ~ spl0_24
    | spl0_54
    | spl0_45
    | ~ spl0_15 ),
    inference(rat,[],[s399,s322,s185,s186,s187,s72,s319,s201,s202,s203,s22,s40]) ).

cnf(s446,plain,
    ( ~ spl0_26
    | ~ spl0_51 ),
    inference(rat,[],[s269,s173,s174,s175]) ).

cnf(s448,plain,
    ( ~ spl0_55
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s267,s58,s344,s277,s133,s134,s135,s18,s416,s128,s233,s125,s126,s127]) ).

cnf(s449,plain,
    ( spl0_27
    | spl0_5
    | ~ spl0_15 ),
    inference(rat,[],[s434,s16,s39]) ).

cnf(s450,plain,
    ( ~ spl0_18
    | ~ spl0_42
    | ~ spl0_27 ),
    inference(rat,[],[s291,s402,s161,s162,s163]) ).

cnf(s452,plain,
    ( ~ spl0_13
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(rat,[],[s296,s297,s166,s167]) ).

cnf(s453,plain,
    ( ~ spl0_42
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s250,s254,s142,s143,s49,s446,s8,s61,s452,s10,s450,s13,s440,s419,s448,s449,s128,s442]) ).

cnf(s454,plain,
    ( ~ spl0_4
    | ~ spl0_36 ),
    inference(rat,[],[s232,s149,s150,s151]) ).

cnf(s456,plain,
    ( ~ spl0_57
    | ~ spl0_49
    | ~ spl0_62 ),
    inference(rat,[],[s411,s368,s181,s182,s183]) ).

cnf(s457,plain,
    ( ~ spl0_37
    | ~ spl0_58 ),
    inference(rat,[],[s319,s201,s202,s203]) ).

cnf(s458,plain,
    ( spl0_41
    | spl0_36
    | ~ spl0_42
    | ~ spl0_15 ),
    inference(rat,[],[s67,s309]) ).

cnf(s459,plain,
    ( ~ spl0_42
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s350,s69,s85,s86,s87,s456,s52,s45,s430,s457,s443,s40,s420,s458,s79,s277,s133,s134,s135,s18,s446,s289,s416,s28,s63,s234,s330,s13,s284,s419,s233,s125,s126,s127,s155,s154,s153,s227,s141,s142,s143,s414,s128,s442]) ).

cnf(s460,plain,
    ( ~ spl0_55
    | spl0_42
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111
    | spl0_38
    | ~ spl0_2 ),
    inference(rat,[],[s346,s177,s178,s179,s66,s349,s371,s79,s53,s267,s344,s277,s133,s134,s135,s18,s416,s128,s233,s125,s126,s127]) ).

cnf(s461,plain,
    ( spl0_159
    | spl0_41
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_15 ),
    inference(rat,[],[s67,s250,s349]) ).

cnf(s462,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s431,s33,s61,s446,s53,s371,s461,s312,s330,s63,s460,s459,s141,s142,s143,s236,s414,s153,s154,s155,s128,s442]) ).

cnf(s463,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s277,s133,s134,s135,s57,s19,s128,s233,s125,s126,s127,s442,s453,s462]) ).

cnf(s465,plain,
    ( ~ spl0_26
    | ~ spl0_54
    | spl0_1 ),
    inference(rat,[],[s307,s67,s279,s437,s173,s174,s175,s128,s442,s462,s454,s463]) ).

cnf(s466,plain,
    ( spl0_26
    | spl0_1 ),
    inference(rat,[],[s29,s452,s441,s61,s448,s449,s128,s442,s453,s462,s454,s463]) ).

cnf(s467,plain,
    spl0_1,
    inference(rat,[],[s58,s465,s446,s466,s462,s128,s442]) ).

cnf(s468,plain,
    spl0_15,
    inference(rat,[],[s172,s467]) ).

cnf(s469,plain,
    spl0_132,
    inference(rat,[],[s171,s467]) ).

cnf(s470,plain,
    ~ spl0_131,
    inference(rat,[],[s170,s467]) ).

cnf(s471,plain,
    ~ spl0_130,
    inference(rat,[],[s169,s467]) ).

cnf(s472,plain,
    ~ spl0_49,
    inference(rat,[],[s410,s469,s470,s471]) ).

cnf(s473,plain,
    ( ~ spl0_42
    | ~ spl0_5 ),
    inference(rat,[],[s320,s399,s185,s186,s72,s45,s279,s240,s315,s173,s174,s175,s318,s28,s458,s376,s234,s13,s284,s419,s155,s154,s153,s468,s472,s469,s470,s471]) ).

cnf(s474,plain,
    ( ~ spl0_35
    | ~ spl0_48
    | spl0_54
    | spl0_38 ),
    inference(rat,[],[s371,s349,s68,s141,s142,s143,s399,s31,s320,s424,s186,s185,s72,s318,s372,s468,s470,s469]) ).

cnf(s475,plain,
    ( ~ spl0_6
    | spl0_41
    | ~ spl0_48 ),
    inference(rat,[],[s461,s371,s141,s142,s143,s468]) ).

cnf(s476,plain,
    ( ~ spl0_26
    | spl0_2
    | ~ spl0_5 ),
    inference(rat,[],[s67,s315,s307,s240,s45,s474,s53,s446,s173,s174,s175,s236,s153,s154,s155,s454,s425,s277,s133,s134,s135,s37,s473,s468,s472]) ).

cnf(s477,plain,
    ( spl0_2
    | ~ spl0_5 ),
    inference(rat,[],[s321,s15,s185,s186,s187,s416,s72,s61,s457,s431,s30,s33,s476,s277,s133,s134,s135,s37,s236,s153,s154,s155,s473,s468]) ).

cnf(s478,plain,
    ( ~ spl0_26
    | ~ spl0_5 ),
    inference(rat,[],[s315,s279,s475,s474,s53,s446,s173,s174,s175,s473,s31,s424,s45,s233,s125,s126,s127,s477,s236,s153,s154,s155,s468,s472]) ).

cnf(s479,plain,
    ~ spl0_5,
    inference(rat,[],[s431,s61,s33,s478,s460,s141,s142,s143,s31,s424,s45,s233,s125,s126,s127,s477,s473,s236,s153,s154,s155,s468,s472]) ).

cnf(s480,plain,
    spl0_27,
    inference(rat,[],[s449,s468,s479]) ).

cnf(s481,plain,
    ~ spl0_42,
    inference(rat,[],[s277,s133,s134,s135,s58,s19,s446,s233,s61,s448,s125,s126,s127,s452,s2,s10,s454,s450,s440,s419,s468,s479,s480]) ).

cnf(s482,plain,
    ~ spl0_26,
    inference(rat,[],[s233,s125,s126,s127,s17,s2,s454,s67,s307,s475,s279,s53,s58,s446,s437,s173,s174,s175,s468,s479,s481]) ).

cnf(s483,plain,
    spl0_2,
    inference(rat,[],[s29,s452,s441,s61,s344,s267,s58,s277,s454,s133,s134,s135,s425,s37,s468,s480,s481,s482,s479]) ).

cnf(s484,plain,
    spl0_99,
    inference(rat,[],[s127,s483]) ).

cnf(s485,plain,
    spl0_98,
    inference(rat,[],[s126,s483]) ).

cnf(s486,plain,
    ~ spl0_97,
    inference(rat,[],[s125,s483]) ).

cnf(s487,plain,
    ~ spl0_55,
    inference(rat,[],[s448,s479,s483]) ).

cnf(s488,plain,
    ~ spl0_29,
    inference(rat,[],[s233,s484,s485,s486]) ).

cnf(s490,plain,
    spl0_13,
    inference(rat,[],[s61,s468,s482,s487]) ).

cnf(s498,plain,
    ~ spl0_34,
    inference(rat,[],[s431,s490]) ).

cnf(s499,plain,
    ~ spl0_17,
    inference(rat,[],[s452,s480,s490]) ).

cnf(s505,plain,
    spl0_38,
    inference(rat,[],[s33,s468,s482,s498]) ).

cnf(s506,plain,
    spl0_45,
    inference(rat,[],[s42,s481,s468,s499]) ).

cnf(s509,plain,
    spl0_36,
    inference(rat,[],[s222,s505,s506]) ).

cnf(s513,plain,
    ~ spl0_4,
    inference(rat,[],[s454,s509]) ).

cnf(s522,plain,
    spl0_6,
    inference(rat,[],[s17,s488,s468,s513]) ).

cnf(s527,plain,
    spl0_111,
    inference(rat,[],[s143,s522]) ).

cnf(s528,plain,
    spl0_110,
    inference(rat,[],[s142,s522]) ).

cnf(s529,plain,
    ~ spl0_109,
    inference(rat,[],[s141,s522]) ).

cnf(s535,plain,
    $false,
    inference(rat,[],[s227,s527,s506,s528,s529]) ).

fof(f1772,plain,
    $false,
    inference(avatar_sat_refutation,[],[s535]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN499+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n009.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 16:17:15 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.04/1.10  % (3196876)Detected formulas, will run a generic FOF schedule.
% 3.04/1.10  % (3196883)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=1908590423:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.10  % (3196886)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1077606943:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.10  % (3196885)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2702166888:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.10  % (3196887)dis-21_1_sil=8000:lcm=predicate:random_seed=4159450053: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)
% 3.04/1.10  % (3196881)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=3705117101:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.10  % (3196882)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=2097138048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.10  % (3196884)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2413211247:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.10  % (3196887)First to succeed.
% 3.04/1.10  % (3196887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3196876"
% 3.04/1.10  % (3196886)Also succeeded, but the first one will report.
% 3.04/1.10  % (3196885)Instruction limit reached! 
% 3.04/1.10  % (3196885)------------------------------
% 3.04/1.10  % (3196885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.10  % (3196885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.10  % (3196885)CaDiCaL version: 2.1.3
% 3.04/1.10  % (3196885)Termination reason: Instruction limit
% 3.04/1.10  % (3196885)Termination phase: Saturation
% 3.04/1.10  % (3196885)Time elapsed: 0.057 s
% 3.04/1.10  % (3196885)Peak memory usage: 88 MB
% 3.04/1.10  % (3196885)Instructions burned: 121 (million)
% 3.04/1.10  % (3196884)Instruction limit reached! 
% 3.04/1.10  % (3196884)------------------------------
% 3.04/1.10  % (3196884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.10  % (3196884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.10  % (3196884)CaDiCaL version: 2.1.3
% 3.04/1.10  % (3196884)Termination reason: Instruction limit
% 3.04/1.10  % (3196884)Termination phase: Saturation
% 3.04/1.10  % (3196884)Time elapsed: 0.070 s
% 3.04/1.10  % (3196884)Peak memory usage: 90 MB
% 3.04/1.10  % (3196884)Instructions burned: 109 (million)
% 3.04/1.10  % (3196895)lrs+10_1_sil=8000:sp=occurrence:random_seed=1564058157:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.04/1.10  % (3196896)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1548506784:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.10  % (3196895)Also succeeded, but the first one will report.
% 3.04/1.10  % (3196896)Also succeeded, but the first one will report.
% 3.04/1.10  % (3196887)Refutation found. Thanks to Tanya!
% 3.04/1.10  % SZS status Theorem for theBenchmark
% 3.04/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.29  % (3196887)------------------------------
% 3.67/1.29  % (3196887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29  % (3196887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29  % (3196887)CaDiCaL version: 2.1.3
% 3.67/1.29  % (3196887)Termination reason: Refutation
% 3.67/1.29  % (3196887)Time elapsed: 0.029 s
% 3.67/1.29  % (3196887)Peak memory usage: 90 MB
% 3.67/1.29  % (3196887)Instructions burned: 49 (million)
% 3.67/1.29  % (3196887)------------------------------
% 3.67/1.29  % (3196887)------------------------------
% 3.67/1.29  % (3196876)Success in time 0.442 s
% 3.67/1.29  % Vampire exiting
%------------------------------------------------------------------------------