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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN444+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:24 PM UTC 2026

% Result   : Theorem 0.17s 0.30s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a213)
          & c3_1(a213)
          & ~ c2_1(a213) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a214)
          & c2_1(a214)
          & ~ c0_1(a214) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a215)
          & ~ c0_1(a215)
          & ~ c1_1(a215) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c3_1(a216)
          & ~ c0_1(a216)
          & ~ c2_1(a216) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a218)
          & ~ c0_1(a218)
          & ~ c1_1(a218) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a220)
          & ~ c0_1(a220)
          & ~ c3_1(a220) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a221)
          & c1_1(a221)
          & ~ c2_1(a221) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a224)
          & c3_1(a224)
          & ~ c1_1(a224) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a225)
          & ~ c2_1(a225)
          & ~ c3_1(a225) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a228)
          & ~ c1_1(a228)
          & ~ c2_1(a228) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a229)
          & c3_1(a229)
          & ~ c0_1(a229) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a230)
          & c3_1(a230)
          & ~ c1_1(a230) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a235)
          & ~ c1_1(a235)
          & ~ c3_1(a235) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c1_1(a236)
          & ~ c2_1(a236)
          & ~ c3_1(a236) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a237)
          & c2_1(a237)
          & ~ c1_1(a237) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a238)
          & c2_1(a238)
          & ~ c3_1(a238) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a239)
          & c2_1(a239)
          & ~ c3_1(a239) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a243)
          & ~ c1_1(a243)
          & ~ c2_1(a243) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a247)
          & c3_1(a247)
          & ~ c2_1(a247) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a252)
          & ~ c2_1(a252)
          & ~ c3_1(a252) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a259)
          & c1_1(a259)
          & ~ c3_1(a259) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a260)
          & ~ c0_1(a260)
          & ~ c2_1(a260) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a263)
          & c3_1(a263)
          & ~ c0_1(a263) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a278)
          & ~ c2_1(a278)
          & ~ c3_1(a278) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a282)
          & ~ c1_1(a282)
          & ~ c3_1(a282) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a288)
          & ~ c0_1(a288)
          & ~ c3_1(a288) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a223)
          & c2_1(a223)
          & c3_1(a223) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a232)
          & c2_1(a232)
          & c3_1(a232) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a246)
          & c1_1(a246)
          & c2_1(a246) ) )
      & ( ! [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
           => ( ~ c0_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | ~ c2_1(X6)
              | ~ c3_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp2
        | hskp3 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | hskp1
        | hskp4 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | ~ c1_1(X13) ) )
        | hskp3 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c1_1(X16)
              | ~ c3_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c2_1(X18) ) )
        | hskp5 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c3_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp6 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | c3_1(X27)
              | ~ c0_1(X27) ) )
        | hskp0 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | hskp26 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | ~ c1_1(X31)
              | ~ c3_1(X31) ) )
        | hskp7 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | hskp8
        | hskp0 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | hskp1
        | hskp9 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | hskp10
        | hskp11 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | c2_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c3_1(X40)
              | ~ c0_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | hskp4 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c0_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c0_1(X47)
              | ~ c3_1(X47) ) )
        | hskp27 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c0_1(X49)
              | ~ c1_1(X49) ) )
        | hskp9 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | hskp10
        | hskp12 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | hskp13 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp14
        | hskp15 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp16
        | hskp2 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) )
        | hskp6 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp0 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp17 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp11 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp26 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c2_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) )
        | hskp28 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c3_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | hskp18 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) )
        | hskp28
        | hskp15 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp28
        | hskp18 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp19 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | hskp27 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp15
        | hskp0 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp26 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp6
        | hskp18 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp20
        | hskp21 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c1_1(X86)
              | ~ c3_1(X86) ) )
        | hskp20
        | hskp13 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c1_1(X87)
              | ~ c3_1(X87) ) )
        | hskp22
        | hskp12 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c0_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | hskp3 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp8
        | hskp3 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | ~ c1_1(X91) ) )
        | hskp0
        | hskp12 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | hskp4
        | hskp13 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c2_1(X93) ) )
        | hskp27 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp20 )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) )
        | hskp5
        | hskp3 )
      & ( hskp20
        | hskp18
        | hskp23 )
      & ( hskp15
        | hskp7
        | hskp11 )
      & ( hskp24
        | hskp8
        | hskp10 )
      & ( hskp16
        | hskp9
        | hskp23 )
      & ( hskp25
        | hskp2
        | hskp3 )
      & ( hskp10
        | hskp11
        | hskp13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a213)
            & c3_1(a213)
            & ~ c2_1(a213) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a214)
            & c2_1(a214)
            & ~ c0_1(a214) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a215)
            & ~ c0_1(a215)
            & ~ c1_1(a215) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c3_1(a216)
            & ~ c0_1(a216)
            & ~ c2_1(a216) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a218)
            & ~ c0_1(a218)
            & ~ c1_1(a218) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a220)
            & ~ c0_1(a220)
            & ~ c3_1(a220) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a221)
            & c1_1(a221)
            & ~ c2_1(a221) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a224)
            & c3_1(a224)
            & ~ c1_1(a224) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a225)
            & ~ c2_1(a225)
            & ~ c3_1(a225) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a228)
            & ~ c1_1(a228)
            & ~ c2_1(a228) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a229)
            & c3_1(a229)
            & ~ c0_1(a229) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a230)
            & c3_1(a230)
            & ~ c1_1(a230) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a235)
            & ~ c1_1(a235)
            & ~ c3_1(a235) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c1_1(a236)
            & ~ c2_1(a236)
            & ~ c3_1(a236) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a237)
            & c2_1(a237)
            & ~ c1_1(a237) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a238)
            & c2_1(a238)
            & ~ c3_1(a238) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a239)
            & c2_1(a239)
            & ~ c3_1(a239) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a243)
            & ~ c1_1(a243)
            & ~ c2_1(a243) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a247)
            & c3_1(a247)
            & ~ c2_1(a247) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a252)
            & ~ c2_1(a252)
            & ~ c3_1(a252) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a259)
            & c1_1(a259)
            & ~ c3_1(a259) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a260)
            & ~ c0_1(a260)
            & ~ c2_1(a260) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a263)
            & c3_1(a263)
            & ~ c0_1(a263) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a278)
            & ~ c2_1(a278)
            & ~ c3_1(a278) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a282)
            & ~ c1_1(a282)
            & ~ c3_1(a282) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a288)
            & ~ c0_1(a288)
            & ~ c3_1(a288) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a223)
            & c2_1(a223)
            & c3_1(a223) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a232)
            & c2_1(a232)
            & c3_1(a232) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a246)
            & c1_1(a246)
            & c2_1(a246) ) )
        & ( ! [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
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp2
          | hskp3 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | hskp1
          | hskp4 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | ~ c1_1(X13) ) )
          | hskp3 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c2_1(X18) ) )
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c3_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c3_1(X27)
                | ~ c0_1(X27) ) )
          | hskp0 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | hskp26 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp7 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | hskp8
          | hskp0 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | hskp1
          | hskp9 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | hskp10
          | hskp11 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c3_1(X40)
                | ~ c0_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | hskp4 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp27 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | hskp10
          | hskp12 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp13 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp14
          | hskp15 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp16
          | hskp2 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | hskp6 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp0 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp17 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp11 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp26 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) )
          | hskp28 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | hskp18 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) )
          | hskp28
          | hskp15 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp28
          | hskp18 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp19 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp27 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp15
          | hskp0 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp26 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp6
          | hskp18 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp20
          | hskp21 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c1_1(X86)
                | ~ c3_1(X86) ) )
          | hskp20
          | hskp13 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c1_1(X87)
                | ~ c3_1(X87) ) )
          | hskp22
          | hskp12 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c0_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp3 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp8
          | hskp3 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | ~ c1_1(X91) ) )
          | hskp0
          | hskp12 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | hskp4
          | hskp13 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c2_1(X93) ) )
          | hskp27 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp20 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | hskp5
          | hskp3 )
        & ( hskp20
          | hskp18
          | hskp23 )
        & ( hskp15
          | hskp7
          | hskp11 )
        & ( hskp24
          | hskp8
          | hskp10 )
        & ( hskp16
          | hskp9
          | hskp23 )
        & ( hskp25
          | hskp2
          | hskp3 )
        & ( hskp10
          | hskp11
          | hskp13 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a213)
        & c3_1(a213)
        & ~ c2_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a214)
        & c2_1(a214)
        & ~ c0_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a216)
        & ~ c0_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a218)
        & ~ c0_1(a218)
        & ~ c1_1(a218) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a220)
        & ~ c0_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a221)
        & c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a224)
        & c3_1(a224)
        & ~ c1_1(a224) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a225)
        & ~ c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a228)
        & ~ c1_1(a228)
        & ~ c2_1(a228) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a229)
        & c3_1(a229)
        & ~ c0_1(a229) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a230)
        & c3_1(a230)
        & ~ c1_1(a230) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c3_1(a235) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c1_1(a237) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a238)
        & c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a239)
        & c2_1(a239)
        & ~ c3_1(a239) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a243)
        & ~ c1_1(a243)
        & ~ c2_1(a243) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a247)
        & c3_1(a247)
        & ~ c2_1(a247) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a252)
        & ~ c2_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a259)
        & c1_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a260)
        & ~ c0_1(a260)
        & ~ c2_1(a260) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a263)
        & c3_1(a263)
        & ~ c0_1(a263) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a278)
        & ~ c2_1(a278)
        & ~ c3_1(a278) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a282)
        & ~ c1_1(a282)
        & ~ c3_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a288)
        & ~ c0_1(a288)
        & ~ c3_1(a288) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & c3_1(a223) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a232)
        & c2_1(a232)
        & c3_1(a232) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a246)
        & c1_1(a246)
        & c2_1(a246) ) )
    & ( ! [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
         => ( ~ c0_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | ~ c0_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp2
      | hskp3 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | hskp1
      | hskp4 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c2_1(X13)
            | ~ c1_1(X13) ) )
      | hskp3 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c2_1(X18) ) )
      | hskp5 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | ~ c1_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c3_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp6 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c3_1(X27)
            | ~ c0_1(X27) ) )
      | hskp0 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) )
      | hskp26 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | ~ c1_1(X31)
            | ~ c3_1(X31) ) )
      | hskp7 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | hskp8
      | hskp0 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | hskp1
      | hskp9 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | c2_1(X36)
            | ~ c0_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c2_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | c3_1(X40)
            | ~ c0_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | hskp4 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c0_1(X47)
            | ~ c3_1(X47) ) )
      | hskp27 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c0_1(X49)
            | ~ c1_1(X49) ) )
      | hskp9 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | hskp10
      | hskp12 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) )
      | hskp13 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | hskp14
      | hskp15 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | hskp16
      | hskp2 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c0_1(X62)
            | ~ c3_1(X62) ) )
      | hskp6 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp0 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | hskp17 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp11 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp26 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | ~ c1_1(X72) ) )
      | hskp28 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c3_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) )
      | hskp18 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) )
      | hskp28
      | hskp15 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c0_1(X76)
            | ~ c2_1(X76) ) )
      | hskp28
      | hskp18 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp19 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) )
      | hskp27 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp15
      | hskp0 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp26 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) )
      | hskp6
      | hskp18 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | hskp20
      | hskp21 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | ~ c1_1(X86)
            | ~ c3_1(X86) ) )
      | hskp20
      | hskp13 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c1_1(X87)
            | ~ c3_1(X87) ) )
      | hskp22
      | hskp12 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c0_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) )
      | hskp3 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c0_1(X90)
            | ~ c1_1(X90) ) )
      | hskp8
      | hskp3 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | ~ c0_1(X91)
            | ~ c1_1(X91) ) )
      | hskp0
      | hskp12 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c1_1(X92) ) )
      | hskp4
      | hskp13 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c2_1(X93) ) )
      | hskp27 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c1_1(X95)
            | ~ c3_1(X95) ) )
      | hskp20 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) )
      | hskp5
      | hskp3 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp15
      | hskp7
      | hskp11 )
    & ( hskp24
      | hskp8
      | hskp10 )
    & ( hskp16
      | hskp9
      | hskp23 )
    & ( hskp25
      | hskp2
      | hskp3 )
    & ( hskp10
      | hskp11
      | hskp13 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a213)
        & c3_1(a213)
        & ~ c2_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a214)
        & c2_1(a214)
        & ~ c0_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a216)
        & ~ c0_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a218)
        & ~ c0_1(a218)
        & ~ c1_1(a218) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a220)
        & ~ c0_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a221)
        & c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a224)
        & c3_1(a224)
        & ~ c1_1(a224) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a225)
        & ~ c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a228)
        & ~ c1_1(a228)
        & ~ c2_1(a228) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a229)
        & c3_1(a229)
        & ~ c0_1(a229) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a230)
        & c3_1(a230)
        & ~ c1_1(a230) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c3_1(a235) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c1_1(a237) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a238)
        & c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a239)
        & c2_1(a239)
        & ~ c3_1(a239) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a243)
        & ~ c1_1(a243)
        & ~ c2_1(a243) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a247)
        & c3_1(a247)
        & ~ c2_1(a247) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a252)
        & ~ c2_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a259)
        & c1_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a260)
        & ~ c0_1(a260)
        & ~ c2_1(a260) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a263)
        & c3_1(a263)
        & ~ c0_1(a263) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a278)
        & ~ c2_1(a278)
        & ~ c3_1(a278) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a282)
        & ~ c1_1(a282)
        & ~ c3_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a288)
        & ~ c0_1(a288)
        & ~ c3_1(a288) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & c3_1(a223) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a232)
        & c2_1(a232)
        & c3_1(a232) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a246)
        & c1_1(a246)
        & c2_1(a246) ) )
    & ( ! [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] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp8
      | hskp0 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp10
      | hskp12 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp16
      | hskp2 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp28
      | hskp15 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X86] :
          ( c2_1(X86)
          | ~ c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp20
      | hskp13 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp22
      | hskp12 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X90] :
          ( c3_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp8
      | hskp3 )
    & ( ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp4
      | hskp13 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp3 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp15
      | hskp7
      | hskp11 )
    & ( hskp24
      | hskp8
      | hskp10 )
    & ( hskp16
      | hskp9
      | hskp23 )
    & ( hskp25
      | hskp2
      | hskp3 )
    & ( hskp10
      | hskp11
      | hskp13 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a213)
        & c3_1(a213)
        & ~ c2_1(a213) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a214)
        & c2_1(a214)
        & ~ c0_1(a214) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a215)
        & ~ c0_1(a215)
        & ~ c1_1(a215) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c3_1(a216)
        & ~ c0_1(a216)
        & ~ c2_1(a216) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a218)
        & ~ c0_1(a218)
        & ~ c1_1(a218) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a220)
        & ~ c0_1(a220)
        & ~ c3_1(a220) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a221)
        & c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a224)
        & c3_1(a224)
        & ~ c1_1(a224) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a225)
        & ~ c2_1(a225)
        & ~ c3_1(a225) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a228)
        & ~ c1_1(a228)
        & ~ c2_1(a228) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a229)
        & c3_1(a229)
        & ~ c0_1(a229) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a230)
        & c3_1(a230)
        & ~ c1_1(a230) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c3_1(a235) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c1_1(a236)
        & ~ c2_1(a236)
        & ~ c3_1(a236) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a237)
        & c2_1(a237)
        & ~ c1_1(a237) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a238)
        & c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a239)
        & c2_1(a239)
        & ~ c3_1(a239) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a243)
        & ~ c1_1(a243)
        & ~ c2_1(a243) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a247)
        & c3_1(a247)
        & ~ c2_1(a247) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a252)
        & ~ c2_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a259)
        & c1_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a260)
        & ~ c0_1(a260)
        & ~ c2_1(a260) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a263)
        & c3_1(a263)
        & ~ c0_1(a263) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a278)
        & ~ c2_1(a278)
        & ~ c3_1(a278) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a282)
        & ~ c1_1(a282)
        & ~ c3_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a288)
        & ~ c0_1(a288)
        & ~ c3_1(a288) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a223)
        & c2_1(a223)
        & c3_1(a223) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a232)
        & c2_1(a232)
        & c3_1(a232) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a246)
        & c1_1(a246)
        & c2_1(a246) ) )
    & ( ! [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] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | c3_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp8
      | hskp0 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | c2_1(X36)
          | ~ c0_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp10
      | hskp12 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp16
      | hskp2 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp28
      | hskp15 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( ! [X85] :
          ( c2_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X86] :
          ( c2_1(X86)
          | ~ c1_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp20
      | hskp13 )
    & ( ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp22
      | hskp12 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X90] :
          ( c3_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp8
      | hskp3 )
    & ( ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp4
      | hskp13 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp3 )
    & ( hskp20
      | hskp18
      | hskp23 )
    & ( hskp15
      | hskp7
      | hskp11 )
    & ( hskp24
      | hskp8
      | hskp10 )
    & ( hskp16
      | hskp9
      | hskp23 )
    & ( hskp25
      | hskp2
      | hskp3 )
    & ( hskp10
      | hskp11
      | hskp13 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp10
    | hskp11
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp25
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp24
    | hskp8
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp20
    | hskp18
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X96] :
      ( ~ c1_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp5
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X94,X95] :
      ( ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X93] :
      ( c3_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X92] :
      ( c3_1(X92)
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ~ ndr1_0
      | hskp4
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X91] :
      ( c3_1(X91)
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | hskp0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X90] :
      ( c3_1(X90)
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ ndr1_0
      | hskp8
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X88,X89] :
      ( c3_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X86] :
      ( c2_1(X86)
      | ~ c1_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp20
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X85] :
      ( c2_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | hskp20
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X84] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | hskp6
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X81] :
      ( c2_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X76] :
      ( c1_1(X76)
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp28
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X75] :
      ( c1_1(X75)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | hskp28
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c3_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X68,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | c3_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X63,X64] :
      ( c1_1(X63)
      | c2_1(X63)
      | c3_1(X63)
      | ~ ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X56] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | hskp10
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | c3_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X36,X37,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c1_1(X36)
      | c2_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | hskp1
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X32] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | hskp8
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | c3_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | hskp1
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | ~ c0_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp28
    | c2_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp28
    | c1_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp28
    | c0_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp27
    | c3_1(a232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp27
    | c2_1(a232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp27
    | c0_1(a232) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp25
    | ~ c3_1(a288) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp25
    | ~ c0_1(a288) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp25
    | c1_1(a288) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp24
    | ~ c3_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp24
    | ~ c1_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp24
    | c0_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp23
    | ~ c3_1(a278) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp23
    | ~ c2_1(a278) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp23
    | ~ c0_1(a278) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp21
    | ~ c2_1(a260) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp21
    | ~ c0_1(a260) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp21
    | c1_1(a260) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp20
    | ~ c3_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp20
    | c1_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp20
    | c0_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp19
    | ~ c3_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp19
    | ~ c2_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp18
    | ~ c2_1(a247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp18
    | c3_1(a247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp18
    | c0_1(a247) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp17
    | ~ c2_1(a243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp17
    | ~ c1_1(a243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp17
    | ~ c0_1(a243) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp15
    | ~ c3_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp15
    | c2_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp15
    | c0_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp14
    | ~ c1_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp14
    | c2_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp14
    | c0_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp13
    | ~ c3_1(a236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp13
    | ~ c2_1(a236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp13
    | ~ c1_1(a236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp12
    | ~ c3_1(a235) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp12
    | ~ c1_1(a235) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp12
    | ~ c0_1(a235) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp11
    | ~ c1_1(a230) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp11
    | c3_1(a230) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp11
    | c2_1(a230) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp10
    | ~ c0_1(a229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp10
    | c3_1(a229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp10
    | c2_1(a229) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp9
    | ~ c2_1(a228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp9
    | ~ c1_1(a228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp9
    | c3_1(a228) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp8
    | ~ c3_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp8
    | ~ c2_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp8
    | c0_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp6
    | ~ c2_1(a221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp6
    | c1_1(a221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp6
    | c0_1(a221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp5
    | ~ c3_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp5
    | ~ c0_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp5
    | c2_1(a220) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp4
    | ~ c1_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp4
    | ~ c0_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp4
    | c3_1(a218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp3
    | ~ c2_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp3
    | ~ c0_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp3
    | c3_1(a216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c1_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp2
    | ~ c0_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp2
    | c2_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp1
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp1
    | c2_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp1
    | c1_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp0
    | ~ c2_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp0
    | c3_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp0
    | c1_1(a213) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp0
    | ~ c3_1(a213) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f185,plain,
    ( hskp1
    | c1_1(a214) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f186,plain,
    ( hskp1
    | c2_1(a214) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f187,plain,
    ( hskp1
    | ~ c0_1(a214) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f189,plain,
    ( hskp2
    | c2_1(a215) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f190,plain,
    ( hskp2
    | ~ c0_1(a215) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f191,plain,
    ( hskp2
    | ~ c1_1(a215) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f193,plain,
    ( ~ hskp3
    | ~ c3_1(a216) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f195,plain,
    ( hskp4
    | ~ c3_1(a218) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f196,plain,
    ( hskp4
    | ~ c0_1(a218) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f197,plain,
    ( hskp4
    | ~ c1_1(a218) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f199,plain,
    ( hskp5
    | c2_1(a220) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f200,plain,
    ( hskp5
    | ~ c0_1(a220) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f201,plain,
    ( hskp5
    | c3_1(a220) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f203,plain,
    ( hskp6
    | c0_1(a221) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f204,plain,
    ( hskp6
    | c1_1(a221) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f205,plain,
    ( hskp6
    | ~ c2_1(a221) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f211,plain,
    ( hskp8
    | c0_1(a225) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f212,plain,
    ( hskp8
    | ~ c2_1(a225) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f213,plain,
    ( hskp8
    | c3_1(a225) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f215,plain,
    ( hskp9
    | ~ c3_1(a228) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f216,plain,
    ( hskp9
    | ~ c1_1(a228) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f217,plain,
    ( hskp9
    | ~ c2_1(a228) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f218,plain,
    ( ~ hskp10
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f219,plain,
    ( ~ hskp10
    | ~ c3_1(a229) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f220,plain,
    ( ~ hskp11
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f221,plain,
    ( ~ hskp11
    | ~ c3_1(a230) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f223,plain,
    ( hskp12
    | ~ c0_1(a235) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f224,plain,
    ( hskp12
    | ~ c1_1(a235) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f225,plain,
    ( hskp12
    | c3_1(a235) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f226,plain,
    ( ~ hskp13
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f227,plain,
    ( ~ hskp13
    | c3_1(a236) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f229,plain,
    ( hskp14
    | c0_1(a237) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f230,plain,
    ( hskp14
    | c2_1(a237) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f231,plain,
    ( hskp14
    | ~ c1_1(a237) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f233,plain,
    ( hskp15
    | c0_1(a238) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f234,plain,
    ( hskp15
    | c2_1(a238) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f235,plain,
    ( hskp15
    | c3_1(a238) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f240,plain,
    ( ~ hskp18
    | ~ c3_1(a247) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f242,plain,
    ( ~ hskp19
    | c3_1(a252) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f244,plain,
    ( hskp20
    | c0_1(a259) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f245,plain,
    ( hskp20
    | c1_1(a259) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f246,plain,
    ( hskp20
    | c3_1(a259) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f251,plain,
    ( ~ hskp23
    | c3_1(a278) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f253,plain,
    ( ~ hskp24
    | c3_1(a282) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f255,plain,
    ( ~ hskp25
    | c3_1(a288) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f259,plain,
    ( hskp27
    | c0_1(a232) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f260,plain,
    ( hskp27
    | c2_1(a232) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f261,plain,
    ( hskp27
    | ~ c3_1(a232) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ndr1_0
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f264,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ndr1_0
      | c2_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f266,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ndr1_0
      | ~ hskp2
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f267,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ndr1_0
      | c1_1(X9)
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ndr1_0
      | c2_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f268,plain,
    ! [X11] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ndr1_0
      | ~ hskp1
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f271,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c2_1(X18)
      | ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f272,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ndr1_0
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | c3_1(X20)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f273,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | c0_1(X22)
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | ndr1_0
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | c3_1(X23)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f274,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f275,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ndr1_0
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f278,plain,
    ! [X32] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ndr1_0
      | ~ hskp8
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f279,plain,
    ! [X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ndr1_0
      | ~ hskp1
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f280,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ndr1_0
      | hskp10
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f281,plain,
    ! [X36,X37,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ndr1_0
      | c1_1(X36)
      | c2_1(X36)
      | ~ c0_1(X36)
      | ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f282,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | ndr1_0
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ c0_1(X40)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f284,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | ndr1_0
      | ~ c3_1(X44)
      | ~ c0_1(X44)
      | ~ c1_1(X44)
      | ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f286,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | ndr1_0
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X49)
      | ndr1_0
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f287,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | ndr1_0
      | c1_1(X52)
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f288,plain,
    ! [X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ndr1_0
      | hskp10
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f289,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c1_1(X55)
      | ~ c2_1(X55)
      | c3_1(X55)
      | ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f290,plain,
    ! [X56] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | c3_1(X56)
      | ndr1_0
      | ~ hskp14
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f293,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | c3_1(X62)
      | ndr1_0
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f294,plain,
    ! [X63,X64] :
      ( c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f295,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65)
      | ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | c3_1(X66)
      | ndr1_0
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f296,plain,
    ! [X68,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ndr1_0
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | c3_1(X68)
      | ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f298,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | ndr1_0
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f300,plain,
    ! [X75] :
      ( c1_1(X75)
      | ~ c0_1(X75)
      | ~ c2_1(X75)
      | ndr1_0
      | hskp28
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f301,plain,
    ! [X76] :
      ( c1_1(X76)
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | ndr1_0
      | hskp28
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f302,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ndr1_0
      | c1_1(X78)
      | ~ c2_1(X78)
      | c3_1(X78)
      | ndr1_0
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f303,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c2_1(X79)
      | c3_1(X79)
      | ndr1_0
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ c0_1(X80)
      | ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f304,plain,
    ! [X81] :
      ( c2_1(X81)
      | ~ c3_1(X81)
      | ~ c0_1(X81)
      | ndr1_0
      | ~ hskp15
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f306,plain,
    ! [X84] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ndr1_0
      | ~ hskp6
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f307,plain,
    ! [X85] :
      ( c2_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ndr1_0
      | ~ hskp20
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f308,plain,
    ! [X86] :
      ( c2_1(X86)
      | ~ c1_1(X86)
      | c3_1(X86)
      | ndr1_0
      | ~ hskp20
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f310,plain,
    ! [X88,X89] :
      ( ~ c3_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ndr1_0
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | c3_1(X89)
      | ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f311,plain,
    ! [X90] :
      ( ~ c3_1(X90)
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ndr1_0
      | ~ hskp8
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f312,plain,
    ! [X91] :
      ( ~ c3_1(X91)
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ndr1_0
      | hskp0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f313,plain,
    ! [X92] :
      ( ~ c3_1(X92)
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ndr1_0
      | ~ hskp4
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f314,plain,
    ! [X93] :
      ( ~ c3_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f315,plain,
    ! [X94,X95] :
      ( ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | c3_1(X95)
      | ndr1_0
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f316,plain,
    ! [X96] :
      ( ~ c1_1(X96)
      | ~ c2_1(X96)
      | c3_1(X96)
      | ndr1_0
      | ~ hskp5
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f317,plain,
    ( ~ hskp20
    | hskp18
    | hskp23 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f319,plain,
    ( hskp24
    | ~ hskp8
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f321,plain,
    ( hskp25
    | ~ hskp2
    | hskp3 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f322,plain,
    ! [X94,X95] :
      ( ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | c3_1(X95)
      | ~ hskp20 ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f323,plain,
    ! [X88,X89] :
      ( ~ c3_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ndr1_0
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | c3_1(X89)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f325,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c2_1(X79)
      | c3_1(X79)
      | ndr1_0
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ c0_1(X80)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f326,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ndr1_0
      | c1_1(X78)
      | ~ c2_1(X78)
      | c3_1(X78)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f328,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c3_1(X71)
      | ~ c2_1(X71)
      | ndr1_0
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f330,plain,
    ! [X68,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ndr1_0
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | c3_1(X68)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f331,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | ~ c3_1(X65)
      | ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | c3_1(X66)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f332,plain,
    ! [X63,X64] :
      ( c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ndr1_0
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f333,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | c3_1(X62)
      | ~ hskp6 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f335,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c1_1(X55)
      | ~ c2_1(X55)
      | c3_1(X55)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f336,plain,
    ! [X50,X51,X52] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | c1_1(X52)
      | ~ c3_1(X52)
      | ~ c2_1(X52) ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f337,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | ndr1_0
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X49)
      | ~ hskp9 ),
    inference(duplicate_literal_removal,[],[f286]) ).

fof(f339,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X43)
      | ndr1_0
      | ~ c3_1(X44)
      | ~ c0_1(X44)
      | ~ c1_1(X44)
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45) ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f341,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ c0_1(X40) ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f342,plain,
    ! [X36,X37,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ndr1_0
      | c1_1(X36)
      | c2_1(X36)
      | ~ c0_1(X36)
      | c2_1(X37)
      | ~ c1_1(X37)
      | c3_1(X37) ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f345,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ndr1_0
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ c0_1(X27)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f346,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | ~ hskp6 ),
    inference(duplicate_literal_removal,[],[f274]) ).

fof(f347,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | c0_1(X22)
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f348,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ndr1_0
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f349,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c2_1(X18)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f352,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ndr1_0
      | c1_1(X9)
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | c2_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f354,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ndr1_0
      | c2_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f264]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f357,definition,
    ( spl0_1
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_2
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f365,definition,
    ( spl0_3
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f368,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f365,f361,f357]) ).

fof(f370,definition,
    ( spl0_4
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_5
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f378,definition,
    ( spl0_6
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f381,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f321,f378,f374,f370]) ).

fof(f383,definition,
    ( spl0_7
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_8
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f396,definition,
    ( spl0_10
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f403,plain,
    ( spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f319,f400,f396,f365]) ).

fof(f409,definition,
    ( spl0_13
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_14
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f418,definition,
    ( spl0_15
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_7
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f317,f418,f414,f383]) ).

fof(f423,definition,
    ( spl0_16
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f431,definition,
    ( spl0_18
  <=> ! [X96] :
        ( ~ c1_1(X96)
        | c3_1(X96)
        | ~ c2_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X96] :
        ( ~ c2_1(X96)
        | c3_1(X96)
        | ~ c1_1(X96) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f316,f431,f427,f423,f370]) ).

fof(f435,definition,
    ( spl0_19
  <=> ! [X95] :
        ( ~ c0_1(X95)
        | c3_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X95] :
        ( ~ c0_1(X95)
        | c3_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f438,definition,
    ( spl0_20
  <=> ! [X94] :
        ( ~ c0_1(X94)
        | ~ c2_1(X94)
        | ~ c1_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X94] :
        ( ~ c0_1(X94)
        | ~ c2_1(X94)
        | ~ c1_1(X94) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f322,f438,f427,f435,f418]) ).

fof(f442,definition,
    ( spl0_21
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_22
  <=> ! [X93] :
        ( ~ c3_1(X93)
        | ~ c2_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X93] :
        ( ~ c0_1(X93)
        | ~ c2_1(X93)
        | ~ c3_1(X93) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( ~ spl0_21
    | spl0_17
    | spl0_22 ),
    inference(avatar_split_clause,[],[f314,f446,f427,f442]) ).

fof(f450,definition,
    ( spl0_23
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_24
  <=> ! [X92] :
        ( ~ c3_1(X92)
        | ~ c1_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | ~ c1_1(X92)
        | ~ c3_1(X92) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_1
    | ~ spl0_23
    | spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f313,f454,f427,f450,f357]) ).

fof(f458,definition,
    ( spl0_25
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f462,definition,
    ( spl0_26
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f465,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f312,f454,f427,f462,f458]) ).

fof(f466,plain,
    ( spl0_4
    | ~ spl0_10
    | spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f311,f454,f427,f396,f370]) ).

fof(f467,plain,
    ( spl0_4
    | spl0_19
    | spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f323,f454,f427,f435,f370]) ).

fof(f473,definition,
    ( spl0_28
  <=> ! [X87] :
        ( c2_1(X87)
        | c3_1(X87)
        | ~ c1_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f474,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | c3_1(X87)
        | ~ c1_1(X87) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f476,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_17
    | spl0_28 ),
    inference(avatar_split_clause,[],[f308,f473,f427,f418,f357]) ).

fof(f478,definition,
    ( spl0_29
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f482,definition,
    ( spl0_30
  <=> ! [X85] :
        ( c2_1(X85)
        | ~ c1_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f483,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c1_1(X85)
        | c2_1(X85) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f484,plain,
    ( spl0_29
    | ~ spl0_15
    | spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f307,f482,f427,f418,f478]) ).

fof(f486,definition,
    ( spl0_31
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f489,plain,
    ( spl0_14
    | ~ spl0_31
    | spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f306,f482,f427,f486,f414]) ).

fof(f496,definition,
    ( spl0_33
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c0_1(X81)
        | ~ c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f497,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c2_1(X81)
        | ~ c3_1(X81) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( spl0_26
    | ~ spl0_13
    | spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f304,f496,f427,f409,f462]) ).

fof(f500,definition,
    ( spl0_34
  <=> ! [X79] :
        ( c1_1(X79)
        | c3_1(X79)
        | ~ c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X79] :
        ( ~ c2_1(X79)
        | c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( ~ spl0_21
    | spl0_33
    | spl0_17
    | spl0_34 ),
    inference(avatar_split_clause,[],[f325,f500,f427,f496,f442]) ).

fof(f504,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f508,definition,
    ( spl0_36
  <=> ! [X77] :
        ( c1_1(X77)
        | c3_1(X77)
        | ~ c0_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X77] :
        ( ~ c0_1(X77)
        | c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f510,plain,
    ( spl0_35
    | spl0_34
    | spl0_17
    | spl0_36 ),
    inference(avatar_split_clause,[],[f326,f508,f427,f500,f504]) ).

fof(f512,definition,
    ( spl0_37
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f516,definition,
    ( spl0_38
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c2_1(X76)
        | c1_1(X76) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( spl0_14
    | spl0_37
    | spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f301,f516,f427,f512,f414]) ).

fof(f519,plain,
    ( ~ spl0_13
    | spl0_37
    | spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f300,f516,f427,f512,f409]) ).

fof(f521,definition,
    ( spl0_39
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | ~ c3_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f522,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | c1_1(X73)
        | ~ c3_1(X73) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f524,plain,
    ( spl0_37
    | spl0_30
    | spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f328,f521,f427,f482,f512]) ).

fof(f526,definition,
    ( spl0_40
  <=> ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f527,plain,
    ( ! [X69] :
        ( c2_1(X69)
        | c3_1(X69)
        | c1_1(X69) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f530,definition,
    ( spl0_41
  <=> ! [X68] :
        ( ~ c0_1(X68)
        | c3_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f531,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | c3_1(X68)
        | ~ c2_1(X68) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,definition,
    ( spl0_42
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X67] :
        ( ~ c0_1(X67)
        | c1_1(X67)
        | c2_1(X67) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f535,plain,
    ( spl0_2
    | spl0_41
    | spl0_17
    | spl0_42 ),
    inference(avatar_split_clause,[],[f330,f533,f427,f530,f361]) ).

fof(f537,definition,
    ( spl0_43
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f541,definition,
    ( spl0_44
  <=> ! [X65] :
        ( c1_1(X65)
        | ~ c3_1(X65)
        | c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X65] :
        ( c2_1(X65)
        | ~ c3_1(X65)
        | c1_1(X65) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( spl0_43
    | spl0_41
    | spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f331,f541,f427,f530,f537]) ).

fof(f544,plain,
    ( spl0_26
    | spl0_41
    | spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f332,f541,f427,f530,f462]) ).

fof(f546,definition,
    ( spl0_45
  <=> ! [X62] :
        ( c2_1(X62)
        | c3_1(X62)
        | ~ c0_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X62] :
        ( ~ c0_1(X62)
        | c3_1(X62)
        | c2_1(X62) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,definition,
    ( spl0_46
  <=> ! [X61] :
        ( c0_1(X61)
        | c3_1(X61)
        | ~ c2_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X61] :
        ( c0_1(X61)
        | c3_1(X61)
        | ~ c2_1(X61) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f551,plain,
    ( ~ spl0_31
    | spl0_45
    | spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f333,f549,f427,f546,f486]) ).

fof(f554,definition,
    ( spl0_47
  <=> ! [X57] :
        ( c0_1(X57)
        | c3_1(X57)
        | ~ c1_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f555,plain,
    ( ! [X57] :
        ( c0_1(X57)
        | c3_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f558,definition,
    ( spl0_48
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ spl0_13
    | ~ spl0_48
    | spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f290,f554,f427,f558,f409]) ).

fof(f562,plain,
    ( spl0_1
    | spl0_34
    | spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f335,f554,f427,f500,f357]) ).

fof(f564,definition,
    ( spl0_49
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f565,plain,
    ( ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f566,plain,
    ( ~ spl0_25
    | spl0_3
    | spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f288,f564,f427,f365,f458]) ).

fof(f568,definition,
    ( spl0_50
  <=> ! [X51] :
        ( c1_1(X51)
        | ~ c0_1(X51)
        | ~ c3_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X51] :
        ( ~ c0_1(X51)
        | c1_1(X51)
        | ~ c3_1(X51) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( spl0_39
    | spl0_50
    | spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f336,f564,f427,f568,f521]) ).

fof(f572,definition,
    ( spl0_51
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | ~ c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f573,plain,
    ( ! [X48] :
        ( c0_1(X48)
        | ~ c2_1(X48)
        | ~ c3_1(X48) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( ~ spl0_8
    | spl0_24
    | spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f337,f572,f427,f454,f387]) ).

fof(f577,definition,
    ( spl0_52
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | ~ c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f578,plain,
    ( ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | ~ c3_1(X43) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f579,plain,
    ( spl0_20
    | spl0_24
    | spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f339,f577,f427,f454,f438]) ).

fof(f582,definition,
    ( spl0_53
  <=> ! [X38] :
        ( c0_1(X38)
        | c3_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f583,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | c3_1(X38)
        | c2_1(X38) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f584,plain,
    ( spl0_33
    | spl0_34
    | spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f341,f582,f427,f500,f496]) ).

fof(f585,plain,
    ( spl0_28
    | spl0_42
    | spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f342,f582,f427,f533,f473]) ).

fof(f587,definition,
    ( spl0_54
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c2_1(X34) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_2
    | spl0_3
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f280,f587,f427,f365,f361]) ).

fof(f591,definition,
    ( spl0_55
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ spl0_8
    | ~ spl0_55
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f279,f587,f427,f591,f387]) ).

fof(f596,definition,
    ( spl0_56
  <=> ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f597,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( spl0_26
    | ~ spl0_10
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f278,f596,f427,f396,f462]) ).

fof(f604,plain,
    ( spl0_26
    | spl0_33
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f345,f596,f427,f496,f462]) ).

fof(f605,plain,
    ( ~ spl0_31
    | spl0_46
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f346,f596,f427,f549,f486]) ).

fof(f606,plain,
    ( spl0_41
    | spl0_51
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f347,f596,f427,f572,f530]) ).

fof(f608,definition,
    ( spl0_58
  <=> ! [X19] :
        ( c0_1(X19)
        | c3_1(X19)
        | c1_1(X19) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f609,plain,
    ( ! [X19] :
        ( c0_1(X19)
        | c3_1(X19)
        | c1_1(X19) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( spl0_19
    | spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f348,f608,f427,f435]) ).

fof(f611,plain,
    ( ~ spl0_16
    | spl0_38
    | spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f349,f608,f427,f516,f423]) ).

fof(f615,definition,
    ( spl0_59
  <=> ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11)
        | c1_1(X11) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_23
    | ~ spl0_55
    | spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f268,f615,f427,f591,f450]) ).

fof(f618,plain,
    ( spl0_30
    | spl0_39
    | spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f352,f615,f427,f521,f482]) ).

fof(f620,definition,
    ( spl0_60
  <=> ! [X7] :
        ( c0_1(X7)
        | ~ c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f621,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | ~ c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f266,f620,f427,f374,f370]) ).

fof(f624,plain,
    ( spl0_26
    | spl0_45
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f354,f620,f427,f546,f462]) ).

fof(f626,definition,
    ( spl0_61
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( spl0_20
    | spl0_47
    | spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f355,f626,f427,f554,f438]) ).

fof(f630,definition,
    ( spl0_62
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_62
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f66,f512,f630]) ).

fof(f635,definition,
    ( spl0_63
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_63
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f67,f512,f635]) ).

fof(f640,definition,
    ( spl0_64
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f642,plain,
    ( c0_1(a246)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( spl0_64
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f68,f512,f640]) ).

fof(f646,definition,
    ( spl0_65
  <=> c3_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_65
    | spl0_21 ),
    inference(avatar_split_clause,[],[f261,f442,f646]) ).

fof(f651,definition,
    ( spl0_66
  <=> c2_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f653,plain,
    ( c2_1(a232)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f654,plain,
    ( spl0_66
    | spl0_21 ),
    inference(avatar_split_clause,[],[f260,f442,f651]) ).

fof(f656,definition,
    ( spl0_67
  <=> c0_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f658,plain,
    ( c0_1(a232)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,plain,
    ( spl0_67
    | spl0_21 ),
    inference(avatar_split_clause,[],[f259,f442,f656]) ).

fof(f678,definition,
    ( spl0_71
  <=> c3_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f681,plain,
    ( spl0_71
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f255,f378,f678]) ).

fof(f683,definition,
    ( spl0_72
  <=> c0_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ c0_1(a288)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( ~ spl0_72
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f79,f378,f683]) ).

fof(f688,definition,
    ( spl0_73
  <=> c1_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_73
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f80,f378,f688]) ).

fof(f694,definition,
    ( spl0_74
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_74
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f253,f400,f694]) ).

fof(f699,definition,
    ( spl0_75
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ spl0_75
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f83,f400,f699]) ).

fof(f704,definition,
    ( spl0_76
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f706,plain,
    ( c0_1(a282)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( spl0_76
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f84,f400,f704]) ).

fof(f710,definition,
    ( spl0_77
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f713,plain,
    ( spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f251,f383,f710]) ).

fof(f715,definition,
    ( spl0_78
  <=> c2_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ spl0_78
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f87,f383,f715]) ).

fof(f720,definition,
    ( spl0_79
  <=> c0_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ c0_1(a278)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( ~ spl0_79
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f88,f383,f720]) ).

fof(f742,definition,
    ( spl0_83
  <=> c2_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ spl0_83
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f478,f742]) ).

fof(f747,definition,
    ( spl0_84
  <=> c0_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c0_1(a260)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( ~ spl0_84
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f478,f747]) ).

fof(f752,definition,
    ( spl0_85
  <=> c1_1(a260) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f755,plain,
    ( spl0_85
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f96,f478,f752]) ).

fof(f758,definition,
    ( spl0_86
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_86
    | spl0_15 ),
    inference(avatar_split_clause,[],[f246,f418,f758]) ).

fof(f763,definition,
    ( spl0_87
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f766,plain,
    ( spl0_87
    | spl0_15 ),
    inference(avatar_split_clause,[],[f245,f418,f763]) ).

fof(f768,definition,
    ( spl0_88
  <=> c0_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f770,plain,
    ( c0_1(a259)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_88
    | spl0_15 ),
    inference(avatar_split_clause,[],[f244,f418,f768]) ).

fof(f774,definition,
    ( spl0_89
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f777,plain,
    ( spl0_89
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f242,f504,f774]) ).

fof(f779,definition,
    ( spl0_90
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c2_1(a252)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( ~ spl0_90
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f103,f504,f779]) ).

fof(f790,definition,
    ( spl0_92
  <=> c2_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f106,f414,f790]) ).

fof(f795,definition,
    ( spl0_93
  <=> c3_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ spl0_93
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f240,f414,f795]) ).

fof(f800,definition,
    ( spl0_94
  <=> c0_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f802,plain,
    ( c0_1(a247)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f108,f414,f800]) ).

fof(f806,definition,
    ( spl0_95
  <=> c2_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ spl0_95
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f110,f537,f806]) ).

fof(f811,definition,
    ( spl0_96
  <=> c1_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_96
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f111,f537,f811]) ).

fof(f816,definition,
    ( spl0_97
  <=> c0_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ c0_1(a243)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( ~ spl0_97
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f112,f537,f816]) ).

fof(f838,definition,
    ( spl0_101
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_101
    | spl0_13 ),
    inference(avatar_split_clause,[],[f235,f409,f838]) ).

fof(f843,definition,
    ( spl0_102
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f845,plain,
    ( c2_1(a238)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_102
    | spl0_13 ),
    inference(avatar_split_clause,[],[f234,f409,f843]) ).

fof(f848,definition,
    ( spl0_103
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f850,plain,
    ( c0_1(a238)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl0_103
    | spl0_13 ),
    inference(avatar_split_clause,[],[f233,f409,f848]) ).

fof(f854,definition,
    ( spl0_104
  <=> c1_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_104
    | spl0_48 ),
    inference(avatar_split_clause,[],[f231,f558,f854]) ).

fof(f859,definition,
    ( spl0_105
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_105
    | spl0_48 ),
    inference(avatar_split_clause,[],[f230,f558,f859]) ).

fof(f864,definition,
    ( spl0_106
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f866,plain,
    ( c0_1(a237)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f867,plain,
    ( spl0_106
    | spl0_48 ),
    inference(avatar_split_clause,[],[f229,f558,f864]) ).

fof(f870,definition,
    ( spl0_107
  <=> c3_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f227,f357,f870]) ).

fof(f875,definition,
    ( spl0_108
  <=> c2_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c2_1(a236)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f357,f875]) ).

fof(f880,definition,
    ( spl0_109
  <=> c1_1(a236) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f357,f880]) ).

fof(f884,plain,
    ( ~ spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f226,f357,f427]) ).

fof(f886,definition,
    ( spl0_110
  <=> c3_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f888,plain,
    ( c3_1(a235)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_110
    | spl0_25 ),
    inference(avatar_split_clause,[],[f225,f458,f886]) ).

fof(f891,definition,
    ( spl0_111
  <=> c1_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ spl0_111
    | spl0_25 ),
    inference(avatar_split_clause,[],[f224,f458,f891]) ).

fof(f896,definition,
    ( spl0_112
  <=> c0_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ c0_1(a235)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( ~ spl0_112
    | spl0_25 ),
    inference(avatar_split_clause,[],[f223,f458,f896]) ).

fof(f902,definition,
    ( spl0_113
  <=> c1_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_113
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f361,f902]) ).

fof(f907,definition,
    ( spl0_114
  <=> c3_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ spl0_114
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f221,f361,f907]) ).

fof(f912,definition,
    ( spl0_115
  <=> c2_1(a230) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f914,plain,
    ( c2_1(a230)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f915,plain,
    ( spl0_115
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f136,f361,f912]) ).

fof(f916,plain,
    ( ~ spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f220,f361,f427]) ).

fof(f918,definition,
    ( spl0_116
  <=> c0_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ c0_1(a229)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( ~ spl0_116
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f365,f918]) ).

fof(f923,definition,
    ( spl0_117
  <=> c3_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ spl0_117
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f219,f365,f923]) ).

fof(f928,definition,
    ( spl0_118
  <=> c2_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f930,plain,
    ( c2_1(a229)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f365,f928]) ).

fof(f932,plain,
    ( ~ spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f218,f365,f427]) ).

fof(f934,definition,
    ( spl0_119
  <=> c2_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ c2_1(a228)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( ~ spl0_119
    | spl0_8 ),
    inference(avatar_split_clause,[],[f217,f387,f934]) ).

fof(f939,definition,
    ( spl0_120
  <=> c1_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ spl0_120
    | spl0_8 ),
    inference(avatar_split_clause,[],[f216,f387,f939]) ).

fof(f944,definition,
    ( spl0_121
  <=> c3_1(a228) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f947,plain,
    ( ~ spl0_121
    | spl0_8 ),
    inference(avatar_split_clause,[],[f215,f387,f944]) ).

fof(f950,definition,
    ( spl0_122
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f953,plain,
    ( spl0_122
    | spl0_10 ),
    inference(avatar_split_clause,[],[f213,f396,f950]) ).

fof(f955,definition,
    ( spl0_123
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ c2_1(a225)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( ~ spl0_123
    | spl0_10 ),
    inference(avatar_split_clause,[],[f212,f396,f955]) ).

fof(f960,definition,
    ( spl0_124
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f962,plain,
    ( c0_1(a225)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( spl0_124
    | spl0_10 ),
    inference(avatar_split_clause,[],[f211,f396,f960]) ).

fof(f982,definition,
    ( spl0_128
  <=> c2_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ c2_1(a221)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,plain,
    ( ~ spl0_128
    | spl0_31 ),
    inference(avatar_split_clause,[],[f205,f486,f982]) ).

fof(f987,definition,
    ( spl0_129
  <=> c1_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f990,plain,
    ( spl0_129
    | spl0_31 ),
    inference(avatar_split_clause,[],[f204,f486,f987]) ).

fof(f992,definition,
    ( spl0_130
  <=> c0_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f994,plain,
    ( c0_1(a221)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( spl0_130
    | spl0_31 ),
    inference(avatar_split_clause,[],[f203,f486,f992]) ).

fof(f998,definition,
    ( spl0_131
  <=> c3_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1000,plain,
    ( c3_1(a220)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1001,plain,
    ( spl0_131
    | spl0_16 ),
    inference(avatar_split_clause,[],[f201,f423,f998]) ).

fof(f1003,definition,
    ( spl0_132
  <=> c0_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1005,plain,
    ( ~ c0_1(a220)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( ~ spl0_132
    | spl0_16 ),
    inference(avatar_split_clause,[],[f200,f423,f1003]) ).

fof(f1008,definition,
    ( spl0_133
  <=> c2_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1011,plain,
    ( spl0_133
    | spl0_16 ),
    inference(avatar_split_clause,[],[f199,f423,f1008]) ).

fof(f1014,definition,
    ( spl0_134
  <=> c1_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ spl0_134
    | spl0_23 ),
    inference(avatar_split_clause,[],[f197,f450,f1014]) ).

fof(f1019,definition,
    ( spl0_135
  <=> c0_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ c0_1(a218)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1022,plain,
    ( ~ spl0_135
    | spl0_23 ),
    inference(avatar_split_clause,[],[f196,f450,f1019]) ).

fof(f1024,definition,
    ( spl0_136
  <=> c3_1(a218) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1027,plain,
    ( ~ spl0_136
    | spl0_23 ),
    inference(avatar_split_clause,[],[f195,f450,f1024]) ).

fof(f1030,definition,
    ( spl0_137
  <=> c2_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1032,plain,
    ( ~ c2_1(a216)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1033,plain,
    ( ~ spl0_137
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f166,f370,f1030]) ).

fof(f1035,definition,
    ( spl0_138
  <=> c0_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ c0_1(a216)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( ~ spl0_138
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f370,f1035]) ).

fof(f1040,definition,
    ( spl0_139
  <=> c3_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ spl0_139
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f193,f370,f1040]) ).

fof(f1046,definition,
    ( spl0_140
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_140
    | spl0_5 ),
    inference(avatar_split_clause,[],[f191,f374,f1046]) ).

fof(f1051,definition,
    ( spl0_141
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ c0_1(a215)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( ~ spl0_141
    | spl0_5 ),
    inference(avatar_split_clause,[],[f190,f374,f1051]) ).

fof(f1056,definition,
    ( spl0_142
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1059,plain,
    ( spl0_142
    | spl0_5 ),
    inference(avatar_split_clause,[],[f189,f374,f1056]) ).

fof(f1062,definition,
    ( spl0_143
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1064,plain,
    ( ~ c0_1(a214)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1065,plain,
    ( ~ spl0_143
    | spl0_55 ),
    inference(avatar_split_clause,[],[f187,f591,f1062]) ).

fof(f1067,definition,
    ( spl0_144
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1070,plain,
    ( spl0_144
    | spl0_55 ),
    inference(avatar_split_clause,[],[f186,f591,f1067]) ).

fof(f1072,definition,
    ( spl0_145
  <=> c1_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1075,plain,
    ( spl0_145
    | spl0_55 ),
    inference(avatar_split_clause,[],[f185,f591,f1072]) ).

fof(f1078,definition,
    ( spl0_146
  <=> c2_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1080,plain,
    ( ~ c2_1(a213)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( ~ spl0_146
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f178,f462,f1078]) ).

fof(f1083,definition,
    ( spl0_147
  <=> c3_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ c3_1(a213)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( ~ spl0_147
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f183,f462,f1083]) ).

fof(f1088,definition,
    ( spl0_148
  <=> c1_1(a213) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1091,plain,
    ( spl0_148
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f462,f1088]) ).

fof(f1095,plain,
    ( ~ c2_1(a282)
    | ~ c3_1(a282)
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(resolution,[],[f447,f706]) ).

fof(f1097,definition,
    ( spl0_149
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1098,plain,
    ( c2_1(a282)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f1100,plain,
    ( ~ spl0_74
    | ~ spl0_149
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1095,f704,f446,f1097,f694]) ).

fof(f1103,plain,
    ( c3_1(a213)
    | ~ c1_1(a213)
    | ~ spl0_28
    | spl0_146 ),
    inference(resolution,[],[f474,f1080]) ).

fof(f1106,plain,
    ( c3_1(a216)
    | ~ c1_1(a216)
    | ~ spl0_28
    | spl0_137 ),
    inference(resolution,[],[f474,f1032]) ).

fof(f1108,plain,
    ( c3_1(a221)
    | ~ c1_1(a221)
    | ~ spl0_28
    | spl0_128 ),
    inference(resolution,[],[f474,f984]) ).

fof(f1127,definition,
    ( spl0_150
  <=> c1_1(a232) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1132,definition,
    ( spl0_151
  <=> c1_1(a247) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1137,definition,
    ( spl0_152
  <=> c1_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1142,definition,
    ( spl0_153
  <=> c1_1(a229) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1147,definition,
    ( spl0_154
  <=> c1_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1152,definition,
    ( spl0_155
  <=> c1_1(a220) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1157,definition,
    ( spl0_156
  <=> c1_1(a216) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1160,plain,
    ( ~ spl0_156
    | spl0_139
    | ~ spl0_28
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1106,f1030,f473,f1040,f1157]) ).

fof(f1182,plain,
    ( c2_1(a282)
    | ~ c3_1(a282)
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f497,f706]) ).

fof(f1183,plain,
    ( ~ spl0_74
    | spl0_149
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1182,f704,f496,f1097,f694]) ).

fof(f1191,plain,
    ( ~ c1_1(a238)
    | ~ c3_1(a238)
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(resolution,[],[f850,f455]) ).

fof(f1192,plain,
    ( ~ c2_1(a238)
    | ~ c3_1(a238)
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(resolution,[],[f850,f447]) ).

fof(f1194,plain,
    ( ~ spl0_101
    | ~ spl0_102
    | ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1192,f848,f446,f843,f838]) ).

fof(f1199,plain,
    ( ~ c2_1(a282)
    | c1_1(a282)
    | ~ spl0_38
    | ~ spl0_76 ),
    inference(resolution,[],[f517,f706]) ).

fof(f1200,plain,
    ( ~ c2_1(a232)
    | c1_1(a232)
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(resolution,[],[f517,f658]) ).

fof(f1206,plain,
    ( ~ c1_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(resolution,[],[f642,f455]) ).

fof(f1207,plain,
    ( c3_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(resolution,[],[f642,f436]) ).

fof(f1209,definition,
    ( spl0_157
  <=> c3_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1212,plain,
    ( ~ spl0_157
    | ~ spl0_63
    | ~ spl0_24
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1206,f640,f454,f635,f1209]) ).

fof(f1217,plain,
    ( ~ c1_1(a259)
    | ~ c3_1(a259)
    | ~ spl0_24
    | ~ spl0_88 ),
    inference(resolution,[],[f770,f455]) ).

fof(f1218,plain,
    ( ~ spl0_86
    | ~ spl0_87
    | ~ spl0_24
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1217,f768,f454,f763,f758]) ).

fof(f1220,definition,
    ( spl0_158
  <=> c2_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1224,plain,
    ( ~ spl0_63
    | spl0_157
    | ~ spl0_19
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1207,f640,f435,f1209,f635]) ).

fof(f1229,plain,
    ( c3_1(a247)
    | ~ c1_1(a247)
    | ~ spl0_19
    | ~ spl0_94 ),
    inference(resolution,[],[f436,f802]) ).

fof(f1231,plain,
    ( c3_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_19
    | ~ spl0_67 ),
    inference(resolution,[],[f436,f658]) ).

fof(f1236,plain,
    ( c3_1(a232)
    | ~ c2_1(a232)
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(resolution,[],[f531,f658]) ).

fof(f1237,plain,
    ( c3_1(a246)
    | ~ c2_1(a246)
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(resolution,[],[f531,f642]) ).

fof(f1238,plain,
    ( ~ spl0_62
    | spl0_157
    | ~ spl0_41
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1237,f640,f530,f1209,f630]) ).

fof(f1239,plain,
    ( ~ spl0_66
    | spl0_65
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1236,f656,f530,f646,f651]) ).

fof(f1246,plain,
    ( ~ c3_1(a225)
    | c1_1(a225)
    | ~ spl0_44
    | spl0_123 ),
    inference(resolution,[],[f542,f957]) ).

fof(f1249,plain,
    ( ~ c3_1(a236)
    | c1_1(a236)
    | ~ spl0_44
    | spl0_108 ),
    inference(resolution,[],[f542,f877]) ).

fof(f1272,definition,
    ( spl0_161
  <=> c3_1(a243) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1282,definition,
    ( spl0_163
  <=> c3_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1297,plain,
    ( c3_1(a247)
    | c2_1(a247)
    | ~ spl0_45
    | ~ spl0_94 ),
    inference(resolution,[],[f547,f802]) ).

fof(f1302,plain,
    ( spl0_92
    | spl0_93
    | ~ spl0_45
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1297,f800,f546,f795,f790]) ).

fof(f1314,plain,
    ( c3_1(a229)
    | ~ c2_1(a229)
    | ~ spl0_46
    | spl0_116 ),
    inference(resolution,[],[f550,f920]) ).

fof(f1325,definition,
    ( spl0_166
  <=> c2_1(a288) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1335,definition,
    ( spl0_168
  <=> c2_1(a235) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1351,plain,
    ( spl0_154
    | ~ spl0_122
    | ~ spl0_44
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1246,f955,f541,f950,f1147]) ).

fof(f1353,plain,
    ( ~ c1_1(a225)
    | c2_1(a225)
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(resolution,[],[f962,f483]) ).

fof(f1354,plain,
    ( ~ c1_1(a225)
    | ~ c3_1(a225)
    | ~ spl0_24
    | ~ spl0_124 ),
    inference(resolution,[],[f962,f455]) ).

fof(f1355,plain,
    ( c3_1(a221)
    | ~ c1_1(a221)
    | ~ spl0_19
    | ~ spl0_130 ),
    inference(resolution,[],[f994,f436]) ).

fof(f1361,plain,
    ( ~ spl0_101
    | ~ spl0_152
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1191,f848,f454,f1137,f838]) ).

fof(f1365,plain,
    ( ~ spl0_150
    | spl0_65
    | ~ spl0_19
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1231,f656,f435,f646,f1127]) ).

fof(f1377,plain,
    ( ~ c2_1(a246)
    | ~ c3_1(a246)
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f447,f642]) ).

fof(f1384,plain,
    ( c1_1(a225)
    | c2_1(a225)
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(resolution,[],[f534,f962]) ).

fof(f1385,plain,
    ( spl0_123
    | spl0_154
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1384,f960,f533,f1147,f955]) ).

fof(f1386,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_47 ),
    inference(resolution,[],[f555,f436]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(resolution,[],[f555,f483]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1389]) ).

fof(f1419,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1386]) ).

fof(f1421,plain,
    ( spl0_109
    | ~ spl0_107
    | ~ spl0_44
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1249,f875,f541,f870,f880]) ).

fof(f1427,plain,
    ( ~ c2_1(a237)
    | c1_1(a237)
    | ~ spl0_38
    | ~ spl0_106 ),
    inference(resolution,[],[f866,f517]) ).

fof(f1440,plain,
    ( ~ c1_1(a213)
    | ~ spl0_19
    | ~ spl0_47
    | spl0_147 ),
    inference(resolution,[],[f1419,f1085]) ).

fof(f1465,plain,
    ( ~ c2_1(a238)
    | ~ c1_1(a238)
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(resolution,[],[f439,f850]) ).

fof(f1466,plain,
    ( ~ spl0_152
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1465,f848,f438,f843,f1137]) ).

fof(f1474,plain,
    ( spl0_123
    | ~ spl0_154
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1353,f960,f482,f1147,f955]) ).

fof(f1475,plain,
    ( ~ spl0_122
    | ~ spl0_154
    | ~ spl0_24
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1354,f960,f454,f1147,f950]) ).

fof(f1490,plain,
    ( ~ c1_1(a221)
    | ~ c3_1(a221)
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(resolution,[],[f994,f455]) ).

fof(f1526,plain,
    ( c3_1(a229)
    | c1_1(a229)
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(resolution,[],[f501,f930]) ).

fof(f1527,plain,
    ( c3_1(a230)
    | c1_1(a230)
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(resolution,[],[f501,f914]) ).

fof(f1531,plain,
    ( c3_1(a232)
    | c1_1(a232)
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(resolution,[],[f501,f653]) ).

fof(f1539,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(resolution,[],[f522,f542]) ).

fof(f1543,plain,
    ( c1_1(a238)
    | ~ c3_1(a238)
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(resolution,[],[f522,f845]) ).

fof(f1545,plain,
    ( c1_1(a282)
    | ~ c3_1(a282)
    | ~ spl0_39
    | ~ spl0_149 ),
    inference(resolution,[],[f522,f1098]) ).

fof(f1548,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1539]) ).

fof(f1550,plain,
    ( ~ spl0_74
    | spl0_75
    | ~ spl0_39
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1545,f1097,f521,f699,f694]) ).

fof(f1592,plain,
    ( c3_1(a229)
    | ~ c1_1(a229)
    | ~ spl0_47
    | spl0_116 ),
    inference(resolution,[],[f555,f920]) ).

fof(f1657,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(resolution,[],[f573,f569]) ).

fof(f1662,plain,
    ( ~ c2_1(a220)
    | ~ c3_1(a220)
    | ~ spl0_51
    | spl0_132 ),
    inference(resolution,[],[f573,f1005]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1657]) ).

fof(f1689,plain,
    ( spl0_39
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1680,f572,f568,f521]) ).

fof(f1694,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(resolution,[],[f583,f436]) ).

fof(f1706,plain,
    ( c3_1(a216)
    | c2_1(a216)
    | ~ spl0_53
    | spl0_138 ),
    inference(resolution,[],[f583,f1037]) ).

fof(f1716,plain,
    ( c3_1(a243)
    | c2_1(a243)
    | ~ spl0_53
    | spl0_97 ),
    inference(resolution,[],[f583,f818]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1694]) ).

fof(f1747,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(resolution,[],[f597,f497]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(resolution,[],[f597,f534]) ).

fof(f1752,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_50
    | ~ spl0_56 ),
    inference(resolution,[],[f597,f569]) ).

fof(f1762,plain,
    ( ~ c3_1(a235)
    | c2_1(a235)
    | ~ spl0_56
    | spl0_112 ),
    inference(resolution,[],[f597,f898]) ).

fof(f1770,plain,
    ( ~ c3_1(a278)
    | c2_1(a278)
    | ~ spl0_56
    | spl0_79 ),
    inference(resolution,[],[f597,f722]) ).

fof(f1772,plain,
    ( ~ c3_1(a288)
    | c2_1(a288)
    | ~ spl0_56
    | spl0_72 ),
    inference(resolution,[],[f597,f685]) ).

fof(f1775,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1752]) ).

fof(f1777,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1750]) ).

fof(f1778,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1747]) ).

fof(f1782,plain,
    ( spl0_166
    | ~ spl0_71
    | ~ spl0_56
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1772,f683,f596,f678,f1325]) ).

fof(f1783,plain,
    ( spl0_78
    | ~ spl0_77
    | ~ spl0_56
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1770,f720,f596,f710,f715]) ).

fof(f1787,plain,
    ( spl0_150
    | ~ spl0_66
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1200,f656,f516,f651,f1127]) ).

fof(f1788,plain,
    ( spl0_75
    | ~ spl0_149
    | ~ spl0_38
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1199,f704,f516,f1097,f699]) ).

fof(f1799,plain,
    ( c3_1(a232)
    | c1_1(a232)
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(resolution,[],[f658,f509]) ).

fof(f1807,plain,
    ( c1_1(a282)
    | ~ c3_1(a282)
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(resolution,[],[f706,f569]) ).

fof(f1808,plain,
    ( ~ spl0_74
    | spl0_75
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1807,f704,f568,f699,f694]) ).

fof(f1813,plain,
    ( ~ spl0_163
    | ~ spl0_129
    | ~ spl0_24
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1490,f992,f454,f987,f1282]) ).

fof(f1822,plain,
    ( ~ c1_1(a247)
    | c2_1(a247)
    | ~ spl0_30
    | ~ spl0_94 ),
    inference(resolution,[],[f802,f483]) ).

fof(f1825,plain,
    ( c1_1(a247)
    | c2_1(a247)
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f802,f534]) ).

fof(f1833,plain,
    ( c2_1(a225)
    | ~ c3_1(a225)
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(resolution,[],[f962,f497]) ).

fof(f1836,plain,
    ( c2_1(a221)
    | ~ c3_1(a221)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f994,f497]) ).

fof(f1844,plain,
    ( ~ c3_1(a236)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f1778,f877]) ).

fof(f1848,plain,
    ( ~ c3_1(a252)
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f1778,f781]) ).

fof(f1852,plain,
    ( ~ spl0_89
    | ~ spl0_33
    | ~ spl0_56
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1848,f779,f596,f496,f774]) ).

fof(f1853,plain,
    ( ~ spl0_107
    | ~ spl0_33
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1844,f875,f596,f496,f870]) ).

fof(f1856,plain,
    ( spl0_137
    | spl0_139
    | ~ spl0_53
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1706,f1035,f582,f1040,f1030]) ).

fof(f1860,plain,
    ( spl0_95
    | spl0_161
    | ~ spl0_53
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1716,f816,f582,f1272,f806]) ).

fof(f1900,plain,
    ( ~ c2_1(a232)
    | ~ c1_1(a232)
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(resolution,[],[f439,f658]) ).

fof(f1901,plain,
    ( ~ c2_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(resolution,[],[f439,f642]) ).

fof(f1903,plain,
    ( ~ spl0_63
    | ~ spl0_62
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1901,f640,f438,f630,f635]) ).

fof(f1904,plain,
    ( ~ spl0_150
    | ~ spl0_66
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1900,f656,f438,f651,f1127]) ).

fof(f1934,plain,
    ( c3_1(a229)
    | ~ c1_1(a229)
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(resolution,[],[f432,f930]) ).

fof(f1966,plain,
    ( ~ c2_1(a214)
    | ~ c1_1(a214)
    | ~ spl0_49
    | spl0_143 ),
    inference(resolution,[],[f565,f1064]) ).

fof(f1968,plain,
    ( ~ c2_1(a220)
    | ~ c1_1(a220)
    | ~ spl0_49
    | spl0_132 ),
    inference(resolution,[],[f565,f1005]) ).

fof(f1974,plain,
    ( ~ c2_1(a288)
    | ~ c1_1(a288)
    | ~ spl0_49
    | spl0_72 ),
    inference(resolution,[],[f565,f685]) ).

fof(f2059,plain,
    ( ~ c2_1(a215)
    | c1_1(a215)
    | ~ spl0_59
    | spl0_141 ),
    inference(resolution,[],[f616,f1053]) ).

fof(f2060,plain,
    ( ~ c2_1(a220)
    | c1_1(a220)
    | ~ spl0_59
    | spl0_132 ),
    inference(resolution,[],[f616,f1005]) ).

fof(f2062,plain,
    ( ~ c2_1(a235)
    | c1_1(a235)
    | ~ spl0_59
    | spl0_112 ),
    inference(resolution,[],[f616,f898]) ).

fof(f2076,plain,
    ( spl0_155
    | ~ spl0_133
    | ~ spl0_59
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2060,f1003,f615,f1008,f1152]) ).

fof(f2081,plain,
    ( spl0_150
    | spl0_65
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1531,f651,f500,f646,f1127]) ).

fof(f2083,plain,
    ( spl0_44
    | ~ spl0_42
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1777,f596,f533,f541]) ).

fof(f2086,plain,
    ( spl0_92
    | ~ spl0_151
    | ~ spl0_30
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1822,f800,f482,f1132,f790]) ).

fof(f2087,plain,
    ( spl0_28
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1417,f554,f482,f473]) ).

fof(f2089,plain,
    ( ~ spl0_153
    | spl0_117
    | ~ spl0_18
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1934,f928,f431,f923,f1142]) ).

fof(f2090,plain,
    ( ~ spl0_148
    | spl0_147
    | ~ spl0_28
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1103,f1078,f473,f1083,f1088]) ).

fof(f2093,plain,
    ( spl0_150
    | spl0_65
    | ~ spl0_36
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1799,f656,f508,f646,f1127]) ).

fof(f2094,plain,
    ( ~ spl0_118
    | spl0_117
    | ~ spl0_46
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1314,f918,f549,f923,f928]) ).

fof(f2096,plain,
    ( ~ spl0_153
    | spl0_117
    | ~ spl0_47
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1592,f918,f554,f923,f1142]) ).

fof(f2102,plain,
    ( ~ c1_1(a259)
    | c2_1(a259)
    | ~ spl0_30
    | ~ spl0_88 ),
    inference(resolution,[],[f770,f483]) ).

fof(f2106,plain,
    ( ~ c3_1(a243)
    | c2_1(a243)
    | ~ spl0_56
    | spl0_97 ),
    inference(resolution,[],[f818,f597]) ).

fof(f2107,plain,
    ( c3_1(a243)
    | c1_1(a243)
    | ~ spl0_58
    | spl0_97 ),
    inference(resolution,[],[f818,f609]) ).

fof(f2108,plain,
    ( spl0_96
    | spl0_161
    | ~ spl0_58
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2107,f816,f608,f1272,f811]) ).

fof(f2120,plain,
    ( c3_1(a229)
    | c1_1(a229)
    | ~ spl0_58
    | spl0_116 ),
    inference(resolution,[],[f920,f609]) ).

fof(f2125,plain,
    ( c3_1(a218)
    | c1_1(a218)
    | ~ spl0_58
    | spl0_135 ),
    inference(resolution,[],[f1021,f609]) ).

fof(f2126,plain,
    ( spl0_134
    | spl0_136
    | ~ spl0_58
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2125,f1019,f608,f1024,f1014]) ).

fof(f2127,plain,
    ( ~ spl0_151
    | spl0_93
    | ~ spl0_19
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1229,f800,f435,f795,f1132]) ).

fof(f2129,plain,
    ( ~ spl0_129
    | spl0_163
    | ~ spl0_19
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1355,f992,f435,f1282,f987]) ).

fof(f2131,plain,
    ( ~ spl0_157
    | ~ spl0_62
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1377,f640,f446,f630,f1209]) ).

fof(f2134,plain,
    ( spl0_153
    | spl0_117
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1526,f928,f500,f923,f1142]) ).

fof(f2135,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_34
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1527,f912,f500,f907,f902]) ).

fof(f2138,plain,
    ( ~ spl0_129
    | spl0_163
    | ~ spl0_28
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1108,f982,f473,f1282,f987]) ).

fof(f2139,plain,
    ( spl0_104
    | ~ spl0_105
    | ~ spl0_38
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1427,f864,f516,f859,f854]) ).

fof(f2147,plain,
    ( spl0_158
    | ~ spl0_87
    | ~ spl0_30
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2102,f768,f482,f763,f1220]) ).

fof(f2175,plain,
    ( c1_1(a220)
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_131 ),
    inference(resolution,[],[f1548,f1000]) ).

fof(f2179,plain,
    ( c1_1(a235)
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(resolution,[],[f1548,f888]) ).

fof(f2195,plain,
    ( spl0_111
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2179,f886,f541,f521,f891]) ).

fof(f2197,plain,
    ( spl0_155
    | ~ spl0_39
    | ~ spl0_44
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2175,f998,f541,f521,f1152]) ).

fof(f2219,plain,
    ( ~ c2_1(a259)
    | ~ c3_1(a259)
    | ~ spl0_22
    | ~ spl0_88 ),
    inference(resolution,[],[f447,f770]) ).

fof(f2224,plain,
    ( ~ spl0_86
    | ~ spl0_158
    | ~ spl0_22
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2219,f768,f446,f1220,f758]) ).

fof(f2226,plain,
    ( ~ spl0_148
    | ~ spl0_19
    | ~ spl0_47
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1440,f1083,f554,f435,f1088]) ).

fof(f2242,plain,
    ( spl0_28
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1731,f582,f435,f473]) ).

fof(f2253,plain,
    ( spl0_140
    | ~ spl0_142
    | ~ spl0_59
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2059,f1051,f615,f1056,f1046]) ).

fof(f2254,plain,
    ( spl0_111
    | ~ spl0_168
    | ~ spl0_59
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2062,f896,f615,f1335,f891]) ).

fof(f2257,plain,
    ( spl0_168
    | ~ spl0_110
    | ~ spl0_56
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1762,f896,f596,f886,f1335]) ).

fof(f2262,plain,
    ( spl0_95
    | ~ spl0_161
    | ~ spl0_56
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2106,f816,f596,f1272,f806]) ).

fof(f2264,plain,
    ( spl0_44
    | ~ spl0_50
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1775,f596,f568,f541]) ).

fof(f2267,plain,
    ( ~ spl0_122
    | spl0_123
    | ~ spl0_33
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1833,f960,f496,f955,f950]) ).

fof(f2268,plain,
    ( ~ spl0_163
    | spl0_128
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1836,f992,f496,f982,f1282]) ).

fof(f2269,plain,
    ( ~ spl0_101
    | spl0_152
    | ~ spl0_39
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1543,f843,f521,f1137,f838]) ).

fof(f2270,plain,
    ( spl0_92
    | spl0_151
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1825,f800,f533,f1132,f790]) ).

fof(f2277,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_49
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1966,f1062,f564,f1067,f1072]) ).

fof(f2278,plain,
    ( ~ spl0_155
    | ~ spl0_133
    | ~ spl0_49
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1968,f1003,f564,f1008,f1152]) ).

fof(f2280,plain,
    ( ~ spl0_73
    | ~ spl0_166
    | ~ spl0_49
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1974,f683,f564,f1325,f688]) ).

fof(f2282,plain,
    ( ~ spl0_131
    | ~ spl0_133
    | ~ spl0_51
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1662,f1003,f572,f1008,f998]) ).

fof(f2284,plain,
    ( spl0_153
    | spl0_117
    | ~ spl0_58
    | spl0_116 ),
    inference(avatar_split_clause,[],[f2120,f918,f608,f923,f1142]) ).

fof(f2312,plain,
    ( c3_1(a216)
    | c1_1(a216)
    | ~ spl0_40
    | spl0_137 ),
    inference(resolution,[],[f527,f1032]) ).

fof(f2315,plain,
    ( c3_1(a228)
    | c1_1(a228)
    | ~ spl0_40
    | spl0_119 ),
    inference(resolution,[],[f527,f936]) ).

fof(f2358,plain,
    ( ~ c1_1(a220)
    | ~ c3_1(a220)
    | ~ spl0_52
    | spl0_132 ),
    inference(resolution,[],[f578,f1005]) ).

fof(f2371,plain,
    ( ~ spl0_131
    | ~ spl0_155
    | ~ spl0_52
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2358,f1003,f577,f1152,f998]) ).

fof(f2376,plain,
    ( ~ c1_1(a216)
    | c2_1(a216)
    | ~ spl0_54
    | spl0_138 ),
    inference(resolution,[],[f588,f1037]) ).

fof(f2383,plain,
    ( ~ c1_1(a260)
    | c2_1(a260)
    | ~ spl0_54
    | spl0_84 ),
    inference(resolution,[],[f588,f749]) ).

fof(f2390,plain,
    ( spl0_83
    | ~ spl0_85
    | ~ spl0_54
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2383,f747,f587,f752,f742]) ).

fof(f2392,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(resolution,[],[f609,f534]) ).

fof(f2396,plain,
    ( c3_1(a216)
    | c1_1(a216)
    | ~ spl0_58
    | spl0_138 ),
    inference(resolution,[],[f609,f1037]) ).

fof(f2407,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2392]) ).

fof(f2409,plain,
    ( spl0_156
    | spl0_139
    | ~ spl0_58
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2396,f1035,f608,f1040,f1157]) ).

fof(f2410,plain,
    ( spl0_40
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2407,f608,f533,f526]) ).

fof(f2412,plain,
    ( spl0_156
    | spl0_139
    | ~ spl0_40
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2312,f1030,f526,f1040,f1157]) ).

fof(f2413,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_40
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2315,f934,f526,f944,f939]) ).

fof(f2415,plain,
    ( spl0_137
    | ~ spl0_156
    | ~ spl0_54
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2376,f1035,f587,f1157,f1030]) ).

fof(f2455,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_60 ),
    inference(resolution,[],[f621,f497]) ).

fof(f2460,plain,
    ( ~ c3_1(a220)
    | c1_1(a220)
    | ~ spl0_60
    | spl0_132 ),
    inference(resolution,[],[f621,f1005]) ).

fof(f2462,plain,
    ( ~ c3_1(a235)
    | c1_1(a235)
    | ~ spl0_60
    | spl0_112 ),
    inference(resolution,[],[f621,f898]) ).

fof(f2464,plain,
    ( ~ c3_1(a243)
    | c1_1(a243)
    | ~ spl0_60
    | spl0_97 ),
    inference(resolution,[],[f621,f818]) ).

fof(f2468,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2455]) ).

fof(f2471,plain,
    ( spl0_96
    | ~ spl0_161
    | ~ spl0_60
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2464,f816,f620,f1272,f811]) ).

fof(f2473,plain,
    ( spl0_111
    | ~ spl0_110
    | ~ spl0_60
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2462,f896,f620,f886,f891]) ).

fof(f2474,plain,
    ( spl0_155
    | ~ spl0_131
    | ~ spl0_60
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2460,f1003,f620,f998,f1152]) ).

fof(f2476,plain,
    ( spl0_44
    | ~ spl0_33
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2468,f620,f496,f541]) ).

fof(f2479,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(resolution,[],[f627,f497]) ).

fof(f2488,plain,
    ( c2_1(a243)
    | c1_1(a243)
    | ~ spl0_61
    | spl0_97 ),
    inference(resolution,[],[f627,f818]) ).

fof(f2492,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2479]) ).

fof(f2495,plain,
    ( spl0_96
    | spl0_95
    | ~ spl0_61
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2488,f816,f626,f806,f811]) ).

fof(f2500,plain,
    ( spl0_44
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2492,f626,f496,f541]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s2,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s4,plain,
    ( spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s6,plain,
    ( spl0_7
    | spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s7,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s8,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s9,plain,
    ( spl0_17
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s10,plain,
    ( spl0_1
    | spl0_17
    | ~ spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s11,plain,
    ( spl0_17
    | spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s12,plain,
    ( spl0_4
    | ~ spl0_10
    | spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s13,plain,
    ( spl0_4
    | spl0_17
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_17
    | spl0_28 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s16,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s17,plain,
    ( spl0_14
    | spl0_17
    | spl0_30
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s19,plain,
    ( ~ spl0_13
    | spl0_17
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s20,plain,
    ( spl0_17
    | ~ spl0_21
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s21,plain,
    ( spl0_17
    | spl0_34
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s22,plain,
    ( spl0_14
    | spl0_17
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s23,plain,
    ( ~ spl0_13
    | spl0_17
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s25,plain,
    ( spl0_17
    | spl0_30
    | spl0_37
    | spl0_39 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s27,plain,
    ( spl0_2
    | spl0_17
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s28,plain,
    ( spl0_17
    | spl0_41
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s29,plain,
    ( spl0_17
    | spl0_26
    | spl0_41
    | spl0_44 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s30,plain,
    ( spl0_17
    | ~ spl0_31
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s33,plain,
    ( ~ spl0_13
    | spl0_17
    | spl0_47
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s34,plain,
    ( spl0_1
    | spl0_17
    | spl0_34
    | spl0_47 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s35,plain,
    ( spl0_3
    | spl0_17
    | ~ spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s36,plain,
    ( spl0_17
    | spl0_39
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s37,plain,
    ( ~ spl0_8
    | spl0_17
    | spl0_24
    | spl0_51 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s39,plain,
    ( spl0_17
    | spl0_20
    | spl0_24
    | spl0_52 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s41,plain,
    ( spl0_17
    | spl0_33
    | spl0_34
    | spl0_53 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s42,plain,
    ( spl0_17
    | spl0_28
    | spl0_42
    | spl0_53 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s43,plain,
    ( spl0_2
    | spl0_3
    | spl0_17
    | spl0_54 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s44,plain,
    ( ~ spl0_8
    | spl0_17
    | spl0_54
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s45,plain,
    ( ~ spl0_10
    | spl0_17
    | spl0_26
    | spl0_56 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s48,plain,
    ( spl0_17
    | spl0_26
    | spl0_33
    | spl0_56 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s49,plain,
    ( spl0_17
    | ~ spl0_31
    | spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s50,plain,
    ( spl0_17
    | spl0_41
    | spl0_51
    | spl0_56 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s51,plain,
    ( spl0_17
    | spl0_19
    | spl0_58 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s52,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_38
    | spl0_58 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s55,plain,
    ( spl0_17
    | ~ spl0_23
    | ~ spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s56,plain,
    ( spl0_17
    | spl0_30
    | spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s57,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_17
    | spl0_60 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s59,plain,
    ( spl0_17
    | spl0_26
    | spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s60,plain,
    ( spl0_17
    | spl0_20
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s61,plain,
    ( ~ spl0_37
    | spl0_62 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s62,plain,
    ( ~ spl0_37
    | spl0_63 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s63,plain,
    ( ~ spl0_37
    | spl0_64 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s65,plain,
    ( spl0_21
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s66,plain,
    ( spl0_21
    | spl0_66 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s67,plain,
    ( spl0_21
    | spl0_67 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s73,plain,
    ( ~ spl0_6
    | spl0_71 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s74,plain,
    ( ~ spl0_6
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s75,plain,
    ( ~ spl0_6
    | spl0_73 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s77,plain,
    ( ~ spl0_11
    | spl0_74 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s78,plain,
    ( ~ spl0_11
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s79,plain,
    ( ~ spl0_11
    | spl0_76 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s81,plain,
    ( ~ spl0_7
    | spl0_77 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s82,plain,
    ( ~ spl0_7
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s83,plain,
    ( ~ spl0_7
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | spl0_85 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s93,plain,
    ( spl0_15
    | spl0_86 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s94,plain,
    ( spl0_15
    | spl0_87 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s95,plain,
    ( spl0_15
    | spl0_88 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s97,plain,
    ( ~ spl0_35
    | spl0_89 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s98,plain,
    ( ~ spl0_35
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s101,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s102,plain,
    ( ~ spl0_14
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s103,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s105,plain,
    ( ~ spl0_43
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s106,plain,
    ( ~ spl0_43
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s107,plain,
    ( ~ spl0_43
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s113,plain,
    ( spl0_13
    | spl0_101 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s114,plain,
    ( spl0_13
    | spl0_102 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s115,plain,
    ( spl0_13
    | spl0_103 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s117,plain,
    ( spl0_48
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s118,plain,
    ( spl0_48
    | spl0_105 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s119,plain,
    ( spl0_48
    | spl0_106 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | spl0_107 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s125,plain,
    ( spl0_25
    | spl0_110 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s126,plain,
    ( spl0_25
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s127,plain,
    ( spl0_25
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s129,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s130,plain,
    ( ~ spl0_2
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s131,plain,
    ( ~ spl0_2
    | spl0_115 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s132,plain,
    ( ~ spl0_2
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_118 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s137,plain,
    ( spl0_8
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s138,plain,
    ( spl0_8
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s139,plain,
    ( spl0_8
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s141,plain,
    ( spl0_10
    | spl0_122 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s142,plain,
    ( spl0_10
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s143,plain,
    ( spl0_10
    | spl0_124 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s149,plain,
    ( spl0_31
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s150,plain,
    ( spl0_31
    | spl0_129 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s151,plain,
    ( spl0_31
    | spl0_130 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s153,plain,
    ( spl0_16
    | spl0_131 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s154,plain,
    ( spl0_16
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s155,plain,
    ( spl0_16
    | spl0_133 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s157,plain,
    ( spl0_23
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s158,plain,
    ( spl0_23
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s159,plain,
    ( spl0_23
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s161,plain,
    ( ~ spl0_4
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s162,plain,
    ( ~ spl0_4
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s163,plain,
    ( ~ spl0_4
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s165,plain,
    ( spl0_5
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s166,plain,
    ( spl0_5
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s167,plain,
    ( spl0_5
    | spl0_142 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s169,plain,
    ( spl0_55
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s170,plain,
    ( spl0_55
    | spl0_144 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s171,plain,
    ( spl0_55
    | spl0_145 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s177,plain,
    ( ~ spl0_22
    | ~ spl0_74
    | ~ spl0_76
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1100]) ).

cnf(s184,plain,
    ( ~ spl0_28
    | spl0_137
    | spl0_139
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s185,plain,
    ( ~ spl0_33
    | ~ spl0_74
    | ~ spl0_76
    | spl0_149 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s186,plain,
    ( ~ spl0_22
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1194]) ).

cnf(s190,plain,
    ( ~ spl0_24
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s193,plain,
    ( ~ spl0_24
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s195,plain,
    ( ~ spl0_19
    | ~ spl0_63
    | ~ spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s196,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | ~ spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s197,plain,
    ( ~ spl0_41
    | spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s207,plain,
    ( ~ spl0_45
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s215,plain,
    ( ~ spl0_44
    | ~ spl0_122
    | spl0_123
    | spl0_154 ),
    inference(sat_conversion,[],[f1351]) ).

cnf(s219,plain,
    ( ~ spl0_24
    | ~ spl0_101
    | ~ spl0_103
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s223,plain,
    ( ~ spl0_19
    | spl0_65
    | ~ spl0_67
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s226,plain,
    ( ~ spl0_42
    | spl0_123
    | ~ spl0_124
    | spl0_154 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s228,plain,
    ( ~ spl0_44
    | ~ spl0_107
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s233,plain,
    ( ~ spl0_20
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1466]) ).

cnf(s242,plain,
    ( ~ spl0_30
    | spl0_123
    | ~ spl0_124
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s243,plain,
    ( ~ spl0_24
    | ~ spl0_122
    | ~ spl0_124
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s259,plain,
    ( ~ spl0_39
    | ~ spl0_74
    | spl0_75
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s272,plain,
    ( spl0_39
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s286,plain,
    ( ~ spl0_56
    | ~ spl0_71
    | spl0_72
    | spl0_166 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s287,plain,
    ( ~ spl0_56
    | ~ spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s291,plain,
    ( ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67
    | spl0_150 ),
    inference(sat_conversion,[],[f1787]) ).

cnf(s292,plain,
    ( ~ spl0_38
    | spl0_75
    | ~ spl0_76
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s294,plain,
    ( ~ spl0_50
    | ~ spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s300,plain,
    ( ~ spl0_24
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s305,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | ~ spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s306,plain,
    ( ~ spl0_33
    | ~ spl0_56
    | ~ spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s309,plain,
    ( ~ spl0_53
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s313,plain,
    ( ~ spl0_53
    | spl0_95
    | spl0_97
    | spl0_161 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s330,plain,
    ( ~ spl0_20
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1903]) ).

cnf(s331,plain,
    ( ~ spl0_20
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s348,plain,
    ( ~ spl0_59
    | spl0_132
    | ~ spl0_133
    | spl0_155 ),
    inference(sat_conversion,[],[f2076]) ).

cnf(s353,plain,
    ( ~ spl0_34
    | spl0_65
    | ~ spl0_66
    | spl0_150 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s355,plain,
    ( ~ spl0_42
    | spl0_44
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s358,plain,
    ( ~ spl0_30
    | spl0_92
    | ~ spl0_94
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2086]) ).

cnf(s359,plain,
    ( spl0_28
    | ~ spl0_30
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s362,plain,
    ( ~ spl0_18
    | spl0_117
    | ~ spl0_118
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2089]) ).

cnf(s363,plain,
    ( ~ spl0_28
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s366,plain,
    ( ~ spl0_36
    | spl0_65
    | ~ spl0_67
    | spl0_150 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s367,plain,
    ( ~ spl0_46
    | spl0_116
    | spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2094]) ).

cnf(s369,plain,
    ( ~ spl0_47
    | spl0_116
    | spl0_117
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2096]) ).

cnf(s374,plain,
    ( ~ spl0_58
    | spl0_96
    | spl0_97
    | spl0_161 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s382,plain,
    ( ~ spl0_58
    | spl0_134
    | spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s383,plain,
    ( ~ spl0_19
    | spl0_93
    | ~ spl0_94
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s385,plain,
    ( ~ spl0_19
    | ~ spl0_129
    | ~ spl0_130
    | spl0_163 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s387,plain,
    ( ~ spl0_22
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s390,plain,
    ( ~ spl0_34
    | spl0_117
    | ~ spl0_118
    | spl0_153 ),
    inference(sat_conversion,[],[f2134]) ).

cnf(s391,plain,
    ( ~ spl0_34
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s394,plain,
    ( ~ spl0_28
    | spl0_128
    | ~ spl0_129
    | spl0_163 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s395,plain,
    ( ~ spl0_38
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s406,plain,
    ( ~ spl0_30
    | ~ spl0_87
    | ~ spl0_88
    | spl0_158 ),
    inference(sat_conversion,[],[f2147]) ).

cnf(s416,plain,
    ( ~ spl0_39
    | ~ spl0_44
    | ~ spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f2195]) ).

cnf(s418,plain,
    ( ~ spl0_39
    | ~ spl0_44
    | ~ spl0_131
    | spl0_155 ),
    inference(sat_conversion,[],[f2197]) ).

cnf(s424,plain,
    ( ~ spl0_22
    | ~ spl0_86
    | ~ spl0_88
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s432,plain,
    ( ~ spl0_19
    | ~ spl0_47
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s448,plain,
    ( ~ spl0_19
    | spl0_28
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s459,plain,
    ( ~ spl0_59
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2253]) ).

cnf(s460,plain,
    ( ~ spl0_59
    | spl0_111
    | spl0_112
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2254]) ).

cnf(s463,plain,
    ( ~ spl0_56
    | ~ spl0_110
    | spl0_112
    | spl0_168 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s468,plain,
    ( ~ spl0_56
    | spl0_95
    | spl0_97
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2262]) ).

cnf(s470,plain,
    ( spl0_44
    | ~ spl0_50
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s473,plain,
    ( ~ spl0_33
    | ~ spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2267]) ).

cnf(s474,plain,
    ( ~ spl0_33
    | spl0_128
    | ~ spl0_130
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s475,plain,
    ( ~ spl0_39
    | ~ spl0_101
    | ~ spl0_102
    | spl0_152 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s476,plain,
    ( ~ spl0_42
    | spl0_92
    | ~ spl0_94
    | spl0_151 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s483,plain,
    ( ~ spl0_49
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2277]) ).

cnf(s484,plain,
    ( ~ spl0_49
    | spl0_132
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2278]) ).

cnf(s486,plain,
    ( ~ spl0_49
    | spl0_72
    | ~ spl0_73
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2280]) ).

cnf(s488,plain,
    ( ~ spl0_51
    | ~ spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s490,plain,
    ( ~ spl0_58
    | spl0_116
    | spl0_117
    | spl0_153 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s496,plain,
    ( ~ spl0_52
    | ~ spl0_131
    | spl0_132
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s498,plain,
    ( ~ spl0_54
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2390]) ).

cnf(s501,plain,
    ( ~ spl0_58
    | spl0_138
    | spl0_139
    | spl0_156 ),
    inference(sat_conversion,[],[f2409]) ).

cnf(s502,plain,
    ( spl0_40
    | ~ spl0_42
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2410]) ).

cnf(s504,plain,
    ( ~ spl0_40
    | spl0_137
    | spl0_139
    | spl0_156 ),
    inference(sat_conversion,[],[f2412]) ).

cnf(s505,plain,
    ( ~ spl0_40
    | spl0_119
    | spl0_120
    | spl0_121 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s507,plain,
    ( ~ spl0_54
    | spl0_137
    | spl0_138
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s513,plain,
    ( ~ spl0_60
    | spl0_96
    | spl0_97
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s515,plain,
    ( ~ spl0_60
    | ~ spl0_110
    | spl0_111
    | spl0_112 ),
    inference(sat_conversion,[],[f2473]) ).

cnf(s516,plain,
    ( ~ spl0_60
    | ~ spl0_131
    | spl0_132
    | spl0_155 ),
    inference(sat_conversion,[],[f2474]) ).

cnf(s518,plain,
    ( ~ spl0_33
    | spl0_44
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s521,plain,
    ( ~ spl0_61
    | spl0_95
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f2495]) ).

cnf(s526,plain,
    ( ~ spl0_33
    | spl0_44
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f2500]) ).

cnf(s527,plain,
    ( spl0_13
    | spl0_10
    | spl0_40
    | spl0_59
    | spl0_17
    | spl0_2 ),
    inference(rat,[],[s355,s418,s50,s496,s488,s39,s153,s154,s155,s233,s52,s475,s291,s56,s223,s243,s242,s51,s226,s502,s27,s197,s65,s66,s67,s9,s186,s113,s114,s115,s143,s142,s141]) ).

cnf(s528,plain,
    ( spl0_10
    | spl0_40
    | spl0_59
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s353,s223,s65,s66,s67,s9,s387,s195,s61,s62,s63,s23,s395,s117,s118,s119,s33,s34,s432,s13,s193,s93,s94,s95,s15,s363,s173,s174,s175,s19,s527,s473,s141,s142,s143,s136,s1]) ).

cnf(s530,plain,
    ( spl0_15
    | ~ spl0_24 ),
    inference(rat,[],[s193,s93,s94,s95]) ).

cnf(s531,plain,
    ( ~ spl0_24
    | spl0_7
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s394,s300,s149,s150,s151,s30,s207,s101,s102,s103,s6,s15,s530,s136,s367,s133,s134,s135]) ).

cnf(s532,plain,
    ( spl0_8
    | ~ spl0_40 ),
    inference(rat,[],[s505,s137,s138,s139]) ).

cnf(s534,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_58
    | ~ spl0_19
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s223,s291,s65,s66,s67,s20,s390,s362,s52,s7,s136,s135,s134]) ).

cnf(s535,plain,
    ( spl0_24
    | spl0_59
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s488,s153,s154,s155,s534,s37,s532,s473,s382,s528,s141,s142,s143,s157,s158,s159,s12,s13,s10,s136,s1]) ).

cnf(s536,plain,
    ( ~ spl0_24
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s394,s300,s149,s150,s151,s49,s287,s81,s82,s83,s15,s531,s530,s136,s367,s133,s134,s135]) ).

cnf(s537,plain,
    ( spl0_21
    | ~ spl0_34
    | ~ spl0_20 ),
    inference(rat,[],[s353,s331,s65,s66,s67]) ).

cnf(s539,plain,
    ( ~ spl0_37
    | ~ spl0_20 ),
    inference(rat,[],[s330,s61,s62,s63]) ).

cnf(s541,plain,
    ( spl0_13
    | ~ spl0_22 ),
    inference(rat,[],[s186,s113,s114,s115]) ).

cnf(s542,plain,
    ( ~ spl0_34
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s395,s117,s118,s119,s23,s33,s541,s9,s537,s369,s390,s136,s135,s134,s133,s539]) ).

cnf(s543,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s476,s383,s101,s102,s103,s22,s27,s291,s197,s331,s65,s66,s67,s20,s542,s539,s39,s496,s348,s153,s154,s155,s534,s473,s141,s142,s143,s535,s12,s13,s382,s157,s158,s159,s10,s536,s136,s1]) ).

cnf(s544,plain,
    ( spl0_31
    | ~ spl0_33
    | ~ spl0_19 ),
    inference(rat,[],[s474,s385,s149,s150,s151]) ).

cnf(s546,plain,
    ( spl0_15
    | ~ spl0_30
    | ~ spl0_22 ),
    inference(rat,[],[s424,s406,s93,s94,s95]) ).

cnf(s547,plain,
    ( ~ spl0_7
    | ~ spl0_56 ),
    inference(rat,[],[s287,s81,s82,s83]) ).

cnf(s548,plain,
    ( spl0_14
    | ~ spl0_22
    | spl0_7
    | ~ spl0_31
    | spl0_17 ),
    inference(rat,[],[s546,s6,s17]) ).

cnf(s549,plain,
    ( ~ spl0_14
    | ~ spl0_45 ),
    inference(rat,[],[s207,s101,s102,s103]) ).

cnf(s551,plain,
    ( ~ spl0_22
    | spl0_47
    | ~ spl0_19
    | spl0_17 ),
    inference(rat,[],[s387,s195,s61,s62,s63,s23,s395,s117,s118,s119,s33,s541]) ).

cnf(s552,plain,
    ( ~ spl0_34
    | ~ spl0_19
    | spl0_116
    | spl0_117
    | ~ spl0_118
    | spl0_17 ),
    inference(rat,[],[s353,s223,s65,s66,s67,s9,s551,s369,s390]) ).

cnf(s553,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s305,s97,s98,s21,s366,s223,s65,s67,s9,s548,s549,s547,s30,s49,s544,s41,s552,s309,s161,s162,s163,s51,s543,s382,s157,s158,s159,s10,s536,s367,s133,s134,s135,s136,s1]) ).

cnf(s554,plain,
    ( ~ spl0_26
    | ~ spl0_19
    | ~ spl0_47 ),
    inference(rat,[],[s432,s174,s175]) ).

cnf(s556,plain,
    ( spl0_10
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(rat,[],[s215,s242,s141,s142,s143]) ).

cnf(s557,plain,
    ( spl0_33
    | spl0_26
    | spl0_58
    | spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s309,s161,s162,s163,s12,s556,s56,s460,s416,s463,s29,s50,s488,s153,s154,s155,s52,s291,s223,s197,s65,s66,s67,s20,s41,s391,s129,s130,s131,s51,s127,s126,s125,s11,s132]) ).

cnf(s558,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s305,s97,s98,s21,s366,s223,s65,s67,s9,s548,s547,s49,s544,s557,s549,s59,s515,s125,s126,s127,s11,s554,s51,s490,s369,s367,s536,s133,s134,s135,s34,s391,s129,s130,s131,s132,s553]) ).

cnf(s559,plain,
    ( spl0_58
    | spl0_38
    | spl0_33
    | spl0_26
    | spl0_1 ),
    inference(rat,[],[s515,s125,s126,s127,s35,s484,s516,s59,s549,s6,s153,s154,s155,s530,s52,s557,s558,s547,s48,s132,s553]) ).

cnf(s560,plain,
    ( spl0_23
    | ~ spl0_58 ),
    inference(rat,[],[s382,s157,s158,s159]) ).

cnf(s561,plain,
    ( spl0_55
    | ~ spl0_49 ),
    inference(rat,[],[s483,s169,s170,s171]) ).

cnf(s562,plain,
    ( ~ spl0_37
    | ~ spl0_24
    | ~ spl0_19 ),
    inference(rat,[],[s190,s195,s62,s63]) ).

cnf(s565,plain,
    ( ~ spl0_6
    | ~ spl0_49
    | ~ spl0_56 ),
    inference(rat,[],[s286,s486,s73,s74,s75]) ).

cnf(s566,plain,
    ( spl0_5
    | ~ spl0_59 ),
    inference(rat,[],[s459,s165,s166,s167]) ).

cnf(s567,plain,
    ( spl0_33
    | ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s309,s161,s162,s163,s2,s566,s565,s55,s561,s36,s294,s77,s78,s79,s4,s556,s25,s562,s475,s219,s10,s560,s559,s291,s29,s223,s197,s113,s114,s115,s65,s66,s67,s19,s48,s20,s41,s558,s554,s34,s391,s129,s130,s131,s132,s553]) ).

cnf(s569,plain,
    ( spl0_10
    | ~ spl0_33 ),
    inference(rat,[],[s473,s141,s142,s143]) ).

cnf(s570,plain,
    ( ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s305,s97,s98,s21,s366,s223,s65,s67,s9,s177,s185,s77,s79,s4,s45,s569,s567,s554,s34,s391,s129,s130,s131,s132,s553,s558]) ).

cnf(s571,plain,
    ( ~ spl0_4
    | ~ spl0_53 ),
    inference(rat,[],[s309,s161,s162,s163]) ).

cnf(s572,plain,
    ( ~ spl0_49
    | ~ spl0_56
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s566,s2,s55,s565,s561,s560,s51,s570,s132,s553]) ).

cnf(s573,plain,
    ( ~ spl0_56
    | spl0_33
    | spl0_1 ),
    inference(rat,[],[s294,s77,s78,s79,s4,s556,s470,s36,s572,s558,s25,s475,s233,s115,s114,s113,s23,s291,s331,s67,s66,s20,s539,s8,s530,s10,s560,s51,s570,s571,s41,s132,s391,s129,s130,s131,s553]) ).

cnf(s574,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(rat,[],[s363,s173,s174,s175]) ).

cnf(s575,plain,
    ( spl0_33
    | spl0_1 ),
    inference(rat,[],[s48,s573,s574,s15,s530,s10,s560,s51,s570,s132,s553]) ).

cnf(s576,plain,
    spl0_1,
    inference(rat,[],[s501,s184,s161,s162,s163,s572,s36,s259,s185,s294,s77,s78,s79,s4,s45,s569,s575,s574,s15,s530,s10,s560,s51,s570,s558,s132,s553]) ).

cnf(s577,plain,
    ~ spl0_17,
    inference(rat,[],[s124,s576]) ).

cnf(s578,plain,
    ~ spl0_109,
    inference(rat,[],[s123,s576]) ).

cnf(s579,plain,
    ~ spl0_108,
    inference(rat,[],[s122,s576]) ).

cnf(s580,plain,
    spl0_107,
    inference(rat,[],[s121,s576]) ).

cnf(s581,plain,
    ~ spl0_44,
    inference(rat,[],[s228,s578,s579,s580]) ).

cnf(s582,plain,
    ( spl0_34
    | ~ spl0_56
    | spl0_33 ),
    inference(rat,[],[s313,s468,s105,s107,s28,s197,s65,s66,s67,s20,s41,s577,s581]) ).

cnf(s583,plain,
    ( ~ spl0_2
    | ~ spl0_34 ),
    inference(rat,[],[s391,s129,s130,s131]) ).

cnf(s584,plain,
    ( spl0_21
    | ~ spl0_41 ),
    inference(rat,[],[s197,s65,s66,s67]) ).

cnf(s585,plain,
    ( ~ spl0_19
    | ~ spl0_26
    | ~ spl0_22 ),
    inference(rat,[],[s554,s551,s577]) ).

cnf(s586,plain,
    ( ~ spl0_29
    | ~ spl0_54 ),
    inference(rat,[],[s498,s89,s90,s91]) ).

cnf(s587,plain,
    ( ~ spl0_56
    | spl0_33 ),
    inference(rat,[],[s395,s117,s118,s119,s33,s359,s16,s586,s43,s23,s542,s539,s8,s530,s13,s571,s42,s574,s585,s19,s541,s9,s584,s27,s583,s582,s355,s577,s581]) ).

cnf(s588,plain,
    ( spl0_34
    | spl0_33 ),
    inference(rat,[],[s272,s36,s475,s561,s233,s55,s113,s114,s115,s566,s23,s57,s291,s513,s331,s539,s374,s8,s106,s107,s560,s530,s50,s28,s51,s13,s584,s66,s67,s448,s571,s20,s41,s574,s48,s587,s577,s581]) ).

cnf(s589,plain,
    ( ~ spl0_19
    | spl0_33 ),
    inference(rat,[],[s223,s353,s65,s66,s67,s9,s585,s48,s587,s588,s577]) ).

cnf(s590,plain,
    ( spl0_21
    | spl0_33 ),
    inference(rat,[],[s369,s390,s133,s134,s135,s43,s507,s504,s60,s161,s162,s163,s521,s13,s105,s106,s107,s502,s530,s28,s27,s8,s584,s537,s583,s588,s51,s589,s577,s581]) ).

cnf(s591,plain,
    ( ~ spl0_15
    | spl0_33 ),
    inference(rat,[],[s395,s117,s118,s119,s33,s359,s16,s586,s43,s23,s542,s539,s8,s574,s48,s587,s583,s588,s589,s541,s9,s590,s577]) ).

cnf(s592,plain,
    spl0_33,
    inference(rat,[],[s521,s105,s106,s107,s28,s196,s387,s61,s63,s23,s395,s117,s118,s119,s33,s60,s369,s390,s542,s133,s134,s135,s43,s507,s501,s161,s162,s163,s13,s530,s591,s541,s9,s590,s51,s589,s583,s588,s577,s581]) ).

cnf(s593,plain,
    spl0_10,
    inference(rat,[],[s569,s592]) ).

cnf(s594,plain,
    ~ spl0_56,
    inference(rat,[],[s306,s579,s580,s592]) ).

cnf(s595,plain,
    ~ spl0_60,
    inference(rat,[],[s518,s581,s592]) ).

cnf(s596,plain,
    ~ spl0_61,
    inference(rat,[],[s526,s581,s592]) ).

cnf(s597,plain,
    spl0_26,
    inference(rat,[],[s45,s577,s593,s594]) ).

cnf(s601,plain,
    ~ spl0_28,
    inference(rat,[],[s574,s597]) ).

cnf(s602,plain,
    ~ spl0_19,
    inference(rat,[],[s476,s383,s101,s102,s103,s22,s291,s331,s66,s67,s539,s42,s9,s60,s448,s585,s554,s577,s601,s596,s597]) ).

cnf(s603,plain,
    spl0_58,
    inference(rat,[],[s51,s577,s602]) ).

cnf(s605,plain,
    spl0_23,
    inference(rat,[],[s560,s603]) ).

cnf(s609,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(rat,[],[s57,s566,s571,s55,s42,s561,s476,s36,s358,s272,s25,s475,s233,s101,s103,s113,s114,s115,s22,s23,s291,s331,s539,s67,s66,s50,s584,s577,s595,s605,s601,s594]) ).

cnf(s610,plain,
    ( ~ spl0_11
    | spl0_49 ),
    inference(rat,[],[s259,s36,s185,s294,s77,s78,s79,s577,s592]) ).

cnf(s611,plain,
    spl0_20,
    inference(rat,[],[s369,s490,s133,s134,s4,s610,s561,s44,s532,s502,s507,s42,s501,s571,s161,s162,s163,s13,s530,s60,s8,s603,s593,s577,s601,s602,s596]) ).

cnf(s612,plain,
    ~ spl0_37,
    inference(rat,[],[s539,s611]) ).

cnf(s613,plain,
    spl0_21,
    inference(rat,[],[s609,s611]) ).

cnf(s614,plain,
    spl0_22,
    inference(rat,[],[s9,s577,s613]) ).

cnf(s615,plain,
    spl0_13,
    inference(rat,[],[s541,s614]) ).

cnf(s616,plain,
    spl0_38,
    inference(rat,[],[s23,s612,s577,s615]) ).

cnf(s617,plain,
    ~ spl0_11,
    inference(rat,[],[s185,s292,s77,s78,s79,s592,s616]) ).

cnf(s618,plain,
    spl0_3,
    inference(rat,[],[s4,s593,s617]) ).

cnf(s620,plain,
    ~ spl0_117,
    inference(rat,[],[s134,s618]) ).

cnf(s621,plain,
    ~ spl0_116,
    inference(rat,[],[s133,s618]) ).

cnf(s623,plain,
    spl0_153,
    inference(rat,[],[s490,s603,s620,s621]) ).

cnf(s627,plain,
    ~ spl0_47,
    inference(rat,[],[s369,s621,s620,s623]) ).

cnf(s636,plain,
    ~ spl0_48,
    inference(rat,[],[s33,s615,s577,s627]) ).

cnf(s646,plain,
    spl0_106,
    inference(rat,[],[s119,s636]) ).

cnf(s647,plain,
    spl0_105,
    inference(rat,[],[s118,s636]) ).

cnf(s648,plain,
    ~ spl0_104,
    inference(rat,[],[s117,s636]) ).

cnf(s653,plain,
    $false,
    inference(rat,[],[s395,s646,s616,s647,s648]) ).

fof(f2501,plain,
    $false,
    inference(avatar_sat_refutation,[],[s653]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN444+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18  % Computer : n026.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 16:05:56 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22  Running first-order model finding
% 0.06/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.30  % (3981041)Will run a generic schedule for satisfiability detection.
% 0.17/0.30  % (3981046)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=952216342_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.30  % (3981047)% WARNING: option uhcvi not known.
% 0.17/0.30  % Detected minimum model sizes of [1]
% 0.17/0.30  % Detected maximum model sizes of [29]
% 0.17/0.30  % TRYING [1]
% 0.17/0.30  % TRYING [2]
% 0.17/0.30  % TRYING [3]
% 0.17/0.30  % (3981047)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3553249758:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.30  % (3981048)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=251154582:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.30  % (3981049)dis+10_1_sil=32000:sp=arity:random_seed=2119206953:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.30  % (3981050)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1462708486:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.30  % (3981051)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=8189217:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.30  % (3981052)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1949902738:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.30  % TRYING [4]
% 0.17/0.30  % TRYING [5]
% 0.17/0.30  % (3981052) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3981041-3981052"...
% 0.17/0.30  % TRYING [6]
% 0.17/0.30  % (3981052)...printing done.
% 0.17/0.30  % (3981052)Refutation found. Thanks to Tanya!
% 0.17/0.30  % SZS status Theorem for theBenchmark
% 0.17/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.32  % (3981052)------------------------------
% 0.17/0.32  % (3981052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32  % (3981052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32  % (3981052)CaDiCaL version: 2.1.3
% 0.17/0.32  % (3981052)Termination reason: Refutation
% 0.17/0.32  % (3981052)Time elapsed: 0.039 s
% 0.17/0.32  % (3981052)Peak memory usage: 14 MB
% 0.17/0.32  % (3981052)Instructions burned: 64 (million)
% 0.17/0.32  % (3981041)Success in time 0.08 s
% 0.17/0.32  % Vampire exiting
%------------------------------------------------------------------------------